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## Crombez, Gilbert

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 Author ID: crombez.gilbert Published as: Crombez, G.; Crombez, Gilbert
 Documents Indexed: 54 Publications since 1967 Reviewing Activity: 74 Reviews

#### Co-Authors

 43 single-authored 9 Govaerts, Willy J. F. 1 Six, Gabriel 1 Timm, Jürgen
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#### Serials

 8 Simon Stevin 5 Numerical Functional Analysis and Optimization 4 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 3 Czechoslovak Mathematical Journal 3 Bulletin de la Société Matheḿatique de Belgique. Série B 2 Journal of Mathematical Analysis and Applications 2 Applied Mathematics and Computation 2 Canadian Mathematical Bulletin 2 Proceedings of the American Mathematical Society 2 Publications de l’Institut Mathématique. Nouvelle Série 2 Journal of Nonlinear and Convex Analysis 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 Applicable Analysis 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Annales de l’Institut Fourier 1 Colloquium Mathematicum 1 Ganita 1 International Journal of Mathematics and Mathematical Sciences 1 Kybernetika 1 Publicationes Mathematicae 1 Quaestiones Mathematicae 1 Transactions of the American Mathematical Society 1 Zbornik Radova. Prirodno-Matematichkog Fakulteta. Serija za Matematiku 1 Acta Mathematica Hungarica 1 Approximation Theory and its Applications 1 Glasnik Matematički. Serija III 1 Journal of Applied Analysis 1 Bollettino della Unione Matematica Italiana. Series IV
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#### Fields

 16 Abstract harmonic analysis (43-XX) 16 Numerical analysis (65-XX) 15 Operator theory (47-XX) 11 Functional analysis (46-XX) 5 Computer science (68-XX) 4 Topological groups, Lie groups (22-XX) 3 General algebraic systems (08-XX) 3 Associative rings and algebras (16-XX) 3 Convex and discrete geometry (52-XX) 3 Operations research, mathematical programming (90-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Group theory and generalizations (20-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH

35 Publications have been cited 179 times in 122 Documents Cited by Year
A hierarchical presentation of operators with fixed points on Hilbert spaces. Zbl 1100.47044
Crombez, G.
2006
Image recovery by convex combinations of projections. Zbl 0752.65045
Crombez, G.
1991
A geometrical look at iterative methods for operators with fixed points. Zbl 1074.65064
Crombez, G.
2005
On $$(n,m)$$-rings. Zbl 0247.08001
Crombez, Gilbert
1972
On (n,m)-quotient rings. Zbl 0247.08002
Crombez, Gilbert; Timm, Jürgen
1972
Finding common fixed points of strict paracontractions by averaging strings of sequential iterations. Zbl 1039.47044
Crombez, G.
2002
Viewing parallel projection methods as sequential ones in convex feasibility problems. Zbl 0846.46010
Crombez, G.
1995
Finding projections onto the intersection of convex sets in Hilbert spaces. Zbl 0827.46017
Crombez, G.
1995
Finding common fixed points of a class of paracontractions. Zbl 1065.47055
Crombez, G.
2004
Non-monotoneous parallel iteration for solving convex feasibility problems. Zbl 1249.65040
Crombez, Gilbert
2003
Improving the speed of convergence in the method of projections onto convex sets. Zbl 0973.65001
Crombez, G.
2001
Weak and norm convergence of a parallel projection method in Hilbert spaces. Zbl 0783.65049
Crombez, G.
1993
Compact convolution operators between $$L_p(G)$$-spaces. Zbl 0398.43006
Crombez, G.; Govaerts, W.
1978
Parallel algorithms for finding common fixed points of paracontractions. Zbl 1004.65068
Crombez, G.
2002
Parallel methods in image recovery by projections onto convex sets. Zbl 0789.65039
Crombez, G.
1992
The convolution-induced topology on $$L_\infty$$(G) and linearly dependent translates in $$L_ 1($$G). Zbl 0486.43001
Crombez, G.; Govaerts, W.
1982
A sequential iteration algorithm with non-monotoneous behaviour in the method of projections onto convex sets. Zbl 1164.47399
Crombez, G.
2006
Solving convex feasibility problems by a parallel projection method with geometrically-defined parameters. Zbl 0877.65033
Crombez, G.
1997
Strongly and weakly almost periodic multipliers from $$L_ 1($$G) to $$L_\infty$$(G). Zbl 0458.43006
Crombez, G.; Govaerts, W.
1980
A characterization of certain weak *-closed subalgebras of $$L_\infty (G)$$. Zbl 0426.43002
Crombez, G.; Govaerts, W.
1979
Weakly compact convolution operators in $$L_1(G)$$. Zbl 0379.43004
Crombez, G.; Govaerts, W.
1978
On averaged, firmly nonexpansive and quasi-nonexpansive operators, and more of that. Zbl 1140.47040
Crombez, Gilbert
2007
An adaptive parallel projection method for solving convex feasibility problems. Zbl 0904.65061
Crombez, G.
1997
A parallel projection method based on sequential most remote set in convex feasibility problems. Zbl 0840.65039
Crombez, G.
1995
Group theoretical methods in gray-scale mathematical morphology. Zbl 0747.68095
Crombez, G.
1990
Image restoration by convex combinations of convex projections. Zbl 0754.46015
Crombez, G.
1990
Nuclear multipliers from $$L_ 1(G)$$ into $$L_ p(G)$$. Zbl 0637.43004
Crombez, G.; Govaerts, W.
1986
Subspaces of $$L_{\infty}(G)$$ with unique topological left invariant mean. Zbl 0558.43001
Crombez, G.
1984
Completely continuous multipliers from $$L_1(G)$$ into $$L_\infty(G)$$. Zbl 0518.42009
Crombez, G.; Govaerts, W.
1984
An elementary proof about the order of the elements in a discrete group. Zbl 0462.22002
Crombez, G.
1982
Towards a classification of convolution-type operators from $$\ell_1$$ to $$\ell_\infty$$. Zbl 0446.47017
Crombez, G.; Govaerts, W.
1980
A characterization of compact groups. Zbl 0399.43002
Crombez, G.
1979
Topologies on spaces of continuous multifunctions. Zbl 0357.54012
Crombez, G.
1977
On partially ordered $$n$$-groups. Zbl 0259.06013
Crombez, Gilbert
1972
On normal congruences, constituted by the generators of quadric surfaces, and on a particular class of minimal surfaces. Zbl 0192.58401
Crombez, G.
1970
On averaged, firmly nonexpansive and quasi-nonexpansive operators, and more of that. Zbl 1140.47040
Crombez, Gilbert
2007
A hierarchical presentation of operators with fixed points on Hilbert spaces. Zbl 1100.47044
Crombez, G.
2006
A sequential iteration algorithm with non-monotoneous behaviour in the method of projections onto convex sets. Zbl 1164.47399
Crombez, G.
2006
A geometrical look at iterative methods for operators with fixed points. Zbl 1074.65064
Crombez, G.
2005
Finding common fixed points of a class of paracontractions. Zbl 1065.47055
Crombez, G.
2004
Non-monotoneous parallel iteration for solving convex feasibility problems. Zbl 1249.65040
Crombez, Gilbert
2003
Finding common fixed points of strict paracontractions by averaging strings of sequential iterations. Zbl 1039.47044
Crombez, G.
2002
Parallel algorithms for finding common fixed points of paracontractions. Zbl 1004.65068
Crombez, G.
2002
Improving the speed of convergence in the method of projections onto convex sets. Zbl 0973.65001
Crombez, G.
2001
Solving convex feasibility problems by a parallel projection method with geometrically-defined parameters. Zbl 0877.65033
Crombez, G.
1997
An adaptive parallel projection method for solving convex feasibility problems. Zbl 0904.65061
Crombez, G.
1997
Viewing parallel projection methods as sequential ones in convex feasibility problems. Zbl 0846.46010
Crombez, G.
1995
Finding projections onto the intersection of convex sets in Hilbert spaces. Zbl 0827.46017
Crombez, G.
1995
A parallel projection method based on sequential most remote set in convex feasibility problems. Zbl 0840.65039
Crombez, G.
1995
Weak and norm convergence of a parallel projection method in Hilbert spaces. Zbl 0783.65049
Crombez, G.
1993
Parallel methods in image recovery by projections onto convex sets. Zbl 0789.65039
Crombez, G.
1992
Image recovery by convex combinations of projections. Zbl 0752.65045
Crombez, G.
1991
Group theoretical methods in gray-scale mathematical morphology. Zbl 0747.68095
Crombez, G.
1990
Image restoration by convex combinations of convex projections. Zbl 0754.46015
Crombez, G.
1990
Nuclear multipliers from $$L_ 1(G)$$ into $$L_ p(G)$$. Zbl 0637.43004
Crombez, G.; Govaerts, W.
1986
Subspaces of $$L_{\infty}(G)$$ with unique topological left invariant mean. Zbl 0558.43001
Crombez, G.
1984
Completely continuous multipliers from $$L_1(G)$$ into $$L_\infty(G)$$. Zbl 0518.42009
Crombez, G.; Govaerts, W.
1984
The convolution-induced topology on $$L_\infty$$(G) and linearly dependent translates in $$L_ 1($$G). Zbl 0486.43001
Crombez, G.; Govaerts, W.
1982
An elementary proof about the order of the elements in a discrete group. Zbl 0462.22002
Crombez, G.
1982
Strongly and weakly almost periodic multipliers from $$L_ 1($$G) to $$L_\infty$$(G). Zbl 0458.43006
Crombez, G.; Govaerts, W.
1980
Towards a classification of convolution-type operators from $$\ell_1$$ to $$\ell_\infty$$. Zbl 0446.47017
Crombez, G.; Govaerts, W.
1980
A characterization of certain weak *-closed subalgebras of $$L_\infty (G)$$. Zbl 0426.43002
Crombez, G.; Govaerts, W.
1979
A characterization of compact groups. Zbl 0399.43002
Crombez, G.
1979
Compact convolution operators between $$L_p(G)$$-spaces. Zbl 0398.43006
Crombez, G.; Govaerts, W.
1978
Weakly compact convolution operators in $$L_1(G)$$. Zbl 0379.43004
Crombez, G.; Govaerts, W.
1978
Topologies on spaces of continuous multifunctions. Zbl 0357.54012
Crombez, G.
1977
On $$(n,m)$$-rings. Zbl 0247.08001
Crombez, Gilbert
1972
On (n,m)-quotient rings. Zbl 0247.08002
Crombez, Gilbert; Timm, Jürgen
1972
On partially ordered $$n$$-groups. Zbl 0259.06013
Crombez, Gilbert
1972
On normal congruences, constituted by the generators of quadric surfaces, and on a particular class of minimal surfaces. Zbl 0192.58401
Crombez, G.
1970
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#### Cited by 141 Authors

 19 Crombez, Gilbert 13 Censor, Yair 8 Reich, Simeon 7 Bnouhachem, Abdellah 6 Davvaz, Bijan 6 Takahashi, Wataru 5 Combettes, Patrick L. 5 Kazmi, Kaleem Raza 5 Rizvi, Shuja Haider 5 Zalas, Rafał 4 Ameri, Reza 4 Bauschke, Heinz H. 4 Gibali, Aviv 4 Zaslavski, Alexander Yakovlevich 3 Dang, Yazheng 3 Norouzi, Morteza 3 Ogbuisi, Ferdinard Udochukwu 3 Segal, Alexander 3 Yamada, Isao 2 Ansari, Qamrul Hasan 2 Butson, Alton T. 2 Cegielski, Andrzej 2 Davidi, Ran 2 Deutsch, Frank 2 Ghaffari, Ali 2 Herman, Gabor T. 2 Kimura, Yasunori 2 Kohlenbach, Ulrich Wilhelm 2 Kohsaka, Fumiaki 2 Kruk, Serge G. 2 Leeson, J. J. 2 Leoreanu-Fotea, Violeta 2 Mewomo, Oluwatosin Temitope 2 Mirvakili, Saeed 2 Nakajo, Kazuhide 2 Nicolae, Adriana 2 Racher, Gerhard 2 Sun, Jie 1 Abtahi, Fatemeh 1 Ahmad, Rais 1 Akbarbaglu, Ibrahim 1 Akram, M. S. 1 Al-Homidan, Suliman S. 1 Alaghmandan, Mahmood 1 Alam, Syed Eqbal 1 Ali, Faeem 1 Ali, Javid 1 Aljohani, A. F. 1 Anvariyeh, Said M. 1 Aoyama, Koji 1 Bargetz, Christian 1 Borisovich, Yuriĭ Grigor’evich 1 Bregman, Lev M. 1 Carmi, Avishy Y. 1 Chang, Shih-Sen 1 Chen, Wei 1 Chen, YiAn 1 Chen, Ying 1 Chill, Ralph 1 Cho, Yeol Je 1 Cholamjiak, Watcharaporn 1 Crann, Jason 1 Demongeot, Jacques 1 Dilshad, Mohammad 1 Dilshad, Mohd 1 Dimiccoli, Mariella 1 Duplij, Steven 1 Farid, Mohd. 1 Feichtinger, Hans Georg 1 Gao, Yan 1 Gel’man, Boris Danielovich 1 Govaerts, Willy J. F. 1 Gurfil, Pini 1 Hare, Kathryn E. 1 Heidari, Dariush 1 Helmer, Dietrich 1 Hundal, Hein S. 1 Husain, Shamshad 1 Ibaraki, Takanori 1 Jafarzadeh, Najmeh 1 Jézéquel, Christelle 1 Khan, Faizan Ahmad 1 Khan, Muhammad Aqeel Ahmad 1 Kikkawa, Misako 1 Kolobov, Victor I. 1 Kopecká, Eva 1 López Acedo, Genaro 1 Maghsoudi, Saeid 1 Malakhovskiĭ, Vladislav Stepanovich 1 Meng, Fanwen 1 Motova, Avi 1 Myshkis, Anatoliĭ Dmitrievich 1 Nasr-Isfahani, Rasoul 1 Neufang, Matthias 1 Obukhovskii, Valeri 1 Ogura, Nobuhiko 1 O’Hara, John G. 1 Ostadhadi-Dehkordi, S. 1 Pelea, Cosmin 1 Pillay, Paranjothi ...and 41 more Authors
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#### Cited in 65 Serials

 11 Numerical Functional Analysis and Optimization 11 Fixed Point Theory and Applications 5 Journal of Mathematical Analysis and Applications 5 Journal of Optimization Theory and Applications 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Journal of Approximation Theory 3 Applied Mathematics and Computation 3 Czechoslovak Mathematical Journal 3 European Journal of Combinatorics 3 Numerical Algorithms 3 Journal of the Egyptian Mathematical Society 2 Bulletin of the Australian Mathematical Society 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Algebra Universalis 2 Journal of Computational and Applied Mathematics 2 Journal of Soviet Mathematics 2 Optimization 2 Computational Optimization and Applications 2 International Transactions in Operational Research 2 Journal of Applied Mathematics 2 Journal of Fixed Point Theory and Applications 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 Applicable Analysis 1 Israel Journal of Mathematics 1 Periodica Mathematica Hungarica 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Applied Mathematics and Optimization 1 Journal of Algebra 1 Journal of Functional Analysis 1 Kybernetika 1 Monatshefte für Mathematik 1 Proceedings of the American Mathematical Society 1 Results in Mathematics 1 Semigroup Forum 1 Transactions of the American Mathematical Society 1 Acta Mathematicae Applicatae Sinica. English Series 1 Mathematical and Computer Modelling 1 Neural Networks 1 Linear Algebra and its Applications 1 Indagationes Mathematicae. New Series 1 Russian Mathematics 1 Georgian Mathematical Journal 1 Arab Journal of Mathematical Sciences 1 Abstract and Applied Analysis 1 Optimization Methods & Software 1 Journal of Inequalities and Applications 1 Acta Mathematica Sinica. English Series 1 Journal of the Australian Mathematical Society 1 Journal of Intelligent and Fuzzy Systems 1 Thai Journal of Mathematics 1 Mediterranean Journal of Mathematics 1 Journal of Industrial and Management Optimization 1 Optimization Letters 1 Statistics Surveys 1 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 1 Advances in Pure and Applied Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Afrika Matematika 1 Arabian Journal of Mathematics 1 Caspian Journal of Mathematical Sciences 1 Mathematical Sciences 1 Journal of Function Spaces 1 Nonlinear Analysis. Theory, Methods & Applications 1 Categories and General Algebraic Structures with Applications
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#### Cited in 34 Fields

 59 Operator theory (47-XX) 39 Numerical analysis (65-XX) 33 Operations research, mathematical programming (90-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 14 Group theory and generalizations (20-XX) 12 Associative rings and algebras (16-XX) 11 Abstract harmonic analysis (43-XX) 9 Functional analysis (46-XX) 8 Topological groups, Lie groups (22-XX) 5 Nonassociative rings and algebras (17-XX) 5 Information and communication theory, circuits (94-XX) 4 Computer science (68-XX) 3 Approximations and expansions (41-XX) 3 Convex and discrete geometry (52-XX) 3 General topology (54-XX) 2 Mathematical logic and foundations (03-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 General algebraic systems (08-XX) 2 Real functions (26-XX) 2 Sequences, series, summability (40-XX) 2 Differential geometry (53-XX) 2 Systems theory; control (93-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Category theory; homological algebra (18-XX) 1 Measure and integration (28-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Biology and other natural sciences (92-XX)