Reich, Simeon; Zaslavski, Alexander J. Generic existence of fixed points for a class of nonexpansive mappings. (English) Zbl 07622171 J. Nonlinear Convex Anal. 23, No. 4, 793-800 (2022). MSC: 47H04 47H09 47H10 54E50 54E52 PDFBibTeX XMLCite \textit{S. Reich} and \textit{A. J. Zaslavski}, J. Nonlinear Convex Anal. 23, No. 4, 793--800 (2022; Zbl 07622171) Full Text: Link
Reich, Simeon; Zaslavski, Alexander J. A random weak ergodic property of infinite products of operators in metric spaces. (English) Zbl 07007065 Optimization 68, No. 1, 51-63 (2019). MSC: 47H07 47H09 47H25 54E35 54E52 PDFBibTeX XMLCite \textit{S. Reich} and \textit{A. J. Zaslavski}, Optimization 68, No. 1, 51--63 (2019; Zbl 07007065) Full Text: DOI
Reich, Simeon; Zaslavski, Alexander J. Dynamical systems with a Lyapunov function on unbounded sets. (English) Zbl 1474.37017 Pure Appl. Funct. Anal. 3, No. 3, 493-504 (2018). MSC: 37B25 37B02 54E35 PDFBibTeX XMLCite \textit{S. Reich} and \textit{A. J. Zaslavski}, Pure Appl. Funct. Anal. 3, No. 3, 493--504 (2018; Zbl 1474.37017) Full Text: Link
Reich, Simeon; Zaslavski, Alexander J. Porosity and convergence results for sequences of nonexpansive mappings on unbounded sets. (English) Zbl 1484.47090 Appl. Anal. Optim. 1, No. 3, 441-460 (2017). MSC: 47H09 54E35 54E50 54E52 PDFBibTeX XMLCite \textit{S. Reich} and \textit{A. J. Zaslavski}, Appl. Anal. Optim. 1, No. 3, 441--460 (2017; Zbl 1484.47090) Full Text: Link
Reich, Simeon; Zaslavski, Alexander J. Asymptotic behavior of generic infinite products of nonexpansive mappings. (English) Zbl 1470.54105 J. Nonlinear Convex Anal. 18, No. 1, 17-27 (2017). MSC: 54H25 54E40 54E50 PDFBibTeX XMLCite \textit{S. Reich} and \textit{A. J. Zaslavski}, J. Nonlinear Convex Anal. 18, No. 1, 17--27 (2017; Zbl 1470.54105) Full Text: Link
Reich, Simeon; Zaslavski, Alexander J. A porosity theorem for a class of nonexpansive set-valued mappings. (English) Zbl 06951227 Agranovsky, Mark L. (ed.) et al., Complex analysis and dynamical systems VII. Proceedings of the 7th international conference on complex analysis and dynamical systems (CA&DS VII), Nahariya, Israel, May 10–15, 2015. Providence, RI: American Mathematical Society (AMS); Ramat Gan: Bar-Ilan University. Contemp. Math. 699, 275-282 (2017). MSC: 47H04 47H09 47H10 54E50 54E52 PDFBibTeX XMLCite \textit{S. Reich} and \textit{A. J. Zaslavski}, Contemp. Math. 699, 275--282 (2017; Zbl 06951227) Full Text: DOI
Bargetz, Christian; Dymond, Michael; Reich, Simeon Porosity results for sets of strict contractions on geodesic metric spaces. (English) Zbl 1474.54062 Topol. Methods Nonlinear Anal. 50, No. 1, 89-124 (2017). Reviewer: Mewomo Oluwatosin Temitope (Durban) MSC: 54C35 54E52 54C60 47H09 PDFBibTeX XMLCite \textit{C. Bargetz} et al., Topol. Methods Nonlinear Anal. 50, No. 1, 89--124 (2017; Zbl 1474.54062) Full Text: DOI arXiv
Reich, Simeon; Zaslavski, Alexander J. Asymptotic behavior of infinite products of nonexpansive mappings. (English) Zbl 1478.47047 J. Nonlinear Convex Anal. 17, No. 10, 1967-1973 (2016). MSC: 47H09 47H25 54E40 54E50 PDFBibTeX XMLCite \textit{S. Reich} and \textit{A. J. Zaslavski}, J. Nonlinear Convex Anal. 17, No. 10, 1967--1973 (2016; Zbl 1478.47047) Full Text: Link
Reich, Simeon; Zaslavski, Alexander J. Two porosity theorems for nonexpansive mappings in hyperbolic spaces. (English) Zbl 1326.54048 J. Math. Anal. Appl. 433, No. 2, 1220-1229 (2016). Reviewer: Zoran Kadelburg (Beograd) MSC: 54H25 47H30 PDFBibTeX XMLCite \textit{S. Reich} and \textit{A. J. Zaslavski}, J. Math. Anal. Appl. 433, No. 2, 1220--1229 (2016; Zbl 1326.54048) Full Text: DOI
Reich, Simeon; Zaslavski, Alexander J. Invariant sets of nonexpansive mappings. (English) Zbl 06651357 J. Anal. 23, 131-140 (2015). MSC: 47H09 47H10 54E50 PDFBibTeX XMLCite \textit{S. Reich} and \textit{A. J. Zaslavski}, J. Anal. 23, 131--140 (2015; Zbl 06651357)
Reich, Simeon; Zaslavski, Alexander J. Genericity and porosity in fixed point theory: a survey of recent results. (English) Zbl 1347.54002 Fixed Point Theory Appl. 2015, Paper No. 195, 21 p. (2015). MSC: 54-02 47H09 47H10 54E50 54E52 54H25 PDFBibTeX XMLCite \textit{S. Reich} and \textit{A. J. Zaslavski}, Fixed Point Theory Appl. 2015, Paper No. 195, 21 p. (2015; Zbl 1347.54002) Full Text: DOI
Reich, Simeon; Zaslavski, Alexander J. Approximate fixed points of nonexpansive set-valued mappings in unbounded sets. (English) Zbl 1329.47058 J. Nonlinear Convex Anal. 16, No. 9, 1707-1717 (2015). MSC: 47H10 47H04 47H09 54E50 PDFBibTeX XMLCite \textit{S. Reich} and \textit{A. J. Zaslavski}, J. Nonlinear Convex Anal. 16, No. 9, 1707--1717 (2015; Zbl 1329.47058) Full Text: Link
Reich, Simeon; Zaslavski, Alexander J. Generic contractivity of nonexpansive mappings with unbounded domains. (English) Zbl 1442.54047 J. Nonlinear Convex Anal. 16, No. 1, 1-7 (2015). Reviewer: Hossein Dehghan (Zanjan) MSC: 54H25 54E40 54E50 PDFBibTeX XMLCite \textit{S. Reich} and \textit{A. J. Zaslavski}, J. Nonlinear Convex Anal. 16, No. 1, 1--7 (2015; Zbl 1442.54047) Full Text: Link
Reich, Simeon; Zaslavski, Alexander J. Approximate fixed points of nonexpansive mappings in unbounded sets. (English) Zbl 1300.47068 J. Fixed Point Theory Appl. 13, No. 2, 627-632 (2013). Reviewer: In-Sook Kim (Suwon) MSC: 47H10 47H09 54E50 PDFBibTeX XMLCite \textit{S. Reich} and \textit{A. J. Zaslavski}, J. Fixed Point Theory Appl. 13, No. 2, 627--632 (2013; Zbl 1300.47068) Full Text: DOI
Kopecká, Eva; Reich, Simeon Asymptotic behavior of resolvents of coaccretive operators in the Hilbert ball. (English) Zbl 1166.47050 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 9, 3187-3194 (2009). Reviewer: Vasile Berinde (Baia Mare) MSC: 47H06 47H09 47H10 46T99 47J25 PDFBibTeX XMLCite \textit{E. Kopecká} and \textit{S. Reich}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 9, 3187--3194 (2009; Zbl 1166.47050) Full Text: DOI
Elin, Mark; Reich, Simeon; Shoikhet, David A Julia-Carathéodory theorem for hyperbolically monotone mappings in the Hilbert ball. (English) Zbl 1152.58005 Isr. J. Math. 164, 397-411 (2008). Reviewer: Vladimir S. Pilidi (Rostov-na-Donu) MSC: 58D07 32A40 47H20 PDFBibTeX XMLCite \textit{M. Elin} et al., Isr. J. Math. 164, 397--411 (2008; Zbl 1152.58005) Full Text: DOI arXiv
Kopecká, Eva; Reich, Simeon Nonexpansive retracts in Banach spaces. (English) Zbl 1125.46019 Jachymski, Jacek (ed.) et al., Fixed point theory and its applications. Proceedings of the international conference, Bȩdlewo, Poland, August 1–5, 2005. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Center Publications 77, 161-174 (2007). Reviewer: Martin Väth (Gießen) MSC: 46B99 47H09 52A05 52A55 PDFBibTeX XMLCite \textit{E. Kopecká} and \textit{S. Reich}, Banach Cent. Publ. 77, 161--174 (2007; Zbl 1125.46019) Full Text: Link
Reich, Simeon; Zaslavski, Alexander J. Generic convergence of iterates for a class of nonlinear mappings in hyperbolic spaces. (English) Zbl 1100.47055 Agranovsky, Mark (ed.) et al., Complex analysis and dynamical systems II. Proceedings of the 2nd conference in honor of Professor Lawrence Zalcman’s sixtieth birthday, Nahariya, Israel, June 9–12, 2003. Providence, RI: American Mathematical Society (AMS); Ramat Gan: Bar-Ilan University (ISBN 0-8218-3709-5/pbk). Contemporary Mathematics 382. Israel Mathematical Conference Proceedings, 349-355 (2005). Reviewer: Gilbert Crombez (Ghent) MSC: 47J25 47H09 47H10 54E50 54E52 PDFBibTeX XMLCite \textit{S. Reich} and \textit{A. J. Zaslavski}, Contemp. Math. 382, 349--355 (2005; Zbl 1100.47055)
Reich, Simeon; Zaslavski, Alexander J. A porosity result for attracting mappings in hyperbolic spaces. (English) Zbl 1066.54032 Agranovsky, Mark (ed.) et al., Complex analysis and dynamical systems. Proceedings of the 3rd international conference, Karmiel, Israel, June 19–22, 2001. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3686-2/pbk). Contemporary Mathematics 364. Israel Mathematical Conference Proceedings, 237-242 (2004). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 54E50 47H10 54E52 PDFBibTeX XMLCite \textit{S. Reich} and \textit{A. J. Zaslavski}, Contemp. Math. 364, 237--242 (2004; Zbl 1066.54032)
Reich, Simeon; Zaslavski, Alexander J. A porosity result in best approximation theory. (English) Zbl 1024.41017 J. Nonlinear Convex Anal. 4, No. 1, 165-173 (2003). Reviewer: Boris Rubin (Jerusalem) MSC: 41A50 41A52 41A65 54E35 54E50 54E52 PDFBibTeX XMLCite \textit{S. Reich} and \textit{A. J. Zaslavski}, J. Nonlinear Convex Anal. 4, No. 1, 165--173 (2003; Zbl 1024.41017)
Reich, Simeon; Zaslavski, Alexander J. The set of divergent infinite products in a Banach space is \(\sigma\)-porous. (English) Zbl 1038.47038 Z. Anal. Anwend. 21, No. 4, 865-878 (2002). Reviewer: Ulrich Kosel (Freiberg) MSC: 47H09 47H10 54E50 54E52 PDFBibTeX XMLCite \textit{S. Reich} and \textit{A. J. Zaslavski}, Z. Anal. Anwend. 21, No. 4, 865--878 (2002; Zbl 1038.47038) Full Text: DOI
Reich, Simeon; Zaslavski, Alexander J. Generic aspects of metric fixed point theory. (English) Zbl 1016.54021 Kirk, William A. (ed.) et al., Handbook of metric fixed point theory. Dordrecht: Kluwer Academic Publishers. 557-575 (2001). Reviewer: S.L.Singh (Rishikesh) MSC: 54H25 47H10 54E35 54C60 54E52 PDFBibTeX XMLCite \textit{S. Reich} and \textit{A. J. Zaslavski}, in: Handbook of metric fixed point theory. Dordrecht: Kluwer Academic Publishers. 557--575 (2001; Zbl 1016.54021)
Reich, Simeon; Zaslavski, Alexander J. Almost all nonexpansive mappings are contractive. (English) Zbl 0971.47039 C. R. Math. Acad. Sci., Soc. R. Can. 22, No. 3, 118-124 (2000). Reviewer: Peter Zabreiko (Minsk) MSC: 47H09 PDFBibTeX XMLCite \textit{S. Reich} and \textit{A. J. Zaslavski}, C. R. Math. Acad. Sci., Soc. R. Can. 22, No. 3, 118--124 (2000; Zbl 0971.47039)
Reich, Simeon; Shoikhet, David Averages of holomorphic mappings and holomorphic retractions on convex hyperbolic domains. (English) Zbl 0918.46046 Stud. Math. 130, No. 3, 231-244 (1998). Reviewer: S.M.Ivashkovich (Villeneuve d’Ascq) MSC: 46G20 47H10 32A10 47H20 PDFBibTeX XMLCite \textit{S. Reich} and \textit{D. Shoikhet}, Stud. Math. 130, No. 3, 231--244 (1998; Zbl 0918.46046) Full Text: EuDML
Reich, Simeon Nonlinear semigroups, holomorphic mappings, and integral equations. (English) Zbl 0602.47044 Nonlinear functional analysis and its applications, Proc. Summer. Res. Inst., Berkeley/Calif. 1983, Proc. Symp. Pure Math. 45/2, 307-324 (1986). Reviewer: T.Barth MSC: 47H20 45N05 46G20 32F45 34G20 PDFBibTeX XML