Evtushenko, Yuri; Golikov, Alexander Theorems of alternative and optimization. (English) Zbl 1511.90298 Olenev, Nicholas (ed.) et al., Optimization and applications. 11th international conference, OPTIMA 2020, Moscow, Russia, September 28 – October 2, 2020. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12422, 86-96 (2020). MSC: 90C05 90C20 PDFBibTeX XMLCite \textit{Y. Evtushenko} and \textit{A. Golikov}, Lect. Notes Comput. Sci. 12422, 86--96 (2020; Zbl 1511.90298) Full Text: DOI
Jolaoso, Lateef Olakunle; Karahan, Ibrahim A general alternative regularization method with line search technique for solving split equilibrium and fixed point problems in Hilbert spaces. (English) Zbl 1449.65139 Comput. Appl. Math. 39, No. 3, Paper No. 150, 22 p. (2020). MSC: 65K15 47J25 65J15 90C33 PDFBibTeX XMLCite \textit{L. O. Jolaoso} and \textit{I. Karahan}, Comput. Appl. Math. 39, No. 3, Paper No. 150, 22 p. (2020; Zbl 1449.65139) Full Text: DOI
Taiwo, A.; Jolaoso, L. O.; Mewomo, O. T. General alternative regularization method for solving split equality common fixed point problem for quasi-pseudocontractive mappings in Hilbert spaces. (English) Zbl 1439.47056 Ric. Mat. 69, No. 1, 235-259 (2020). MSC: 47J26 47H09 47N10 65J15 90C33 PDFBibTeX XMLCite \textit{A. Taiwo} et al., Ric. Mat. 69, No. 1, 235--259 (2020; Zbl 1439.47056) Full Text: DOI
Golikov, A. I.; Evtushenko, Yu. G. A new class of theorems of the alternative. (English. Russian original) Zbl 1396.90043 Proc. Steklov Inst. Math. 299, Suppl. 1, S31-S36 (2017); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 22, No. 3, 44-49 (2016). MSC: 90C05 90C46 PDFBibTeX XMLCite \textit{A. I. Golikov} and \textit{Yu. G. Evtushenko}, Proc. Steklov Inst. Math. 299, S31--S36 (2017; Zbl 1396.90043); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 22, No. 3, 44--49 (2016) Full Text: DOI
He, Songnian; Xu, Hong-Kun Uniqueness of supporting hyperplanes and an alternative to solutions of variational inequalities. (English) Zbl 1298.47072 J. Glob. Optim. 57, No. 4, 1375-1384 (2013). Reviewer: Dumitru Motreanu (Perpignan) MSC: 47J20 49J20 90C25 PDFBibTeX XMLCite \textit{S. He} and \textit{H.-K. Xu}, J. Glob. Optim. 57, No. 4, 1375--1384 (2013; Zbl 1298.47072) Full Text: DOI
Bonnans, J. Frédéric; Jaisson, Pascal Optimal control of a parabolic equation with time-dependent state constraints. (English) Zbl 1208.49024 SIAM J. Control Optim. 48, No. 7, 4550-4571 (2010). MSC: 49K20 35K05 49K40 90C25 PDFBibTeX XMLCite \textit{J. F. Bonnans} and \textit{P. Jaisson}, SIAM J. Control Optim. 48, No. 7, 4550--4571 (2010; Zbl 1208.49024) Full Text: DOI
Kutateladze, S. S. The Farkas Lemma revisited. (English. Russian original) Zbl 1225.15020 Sib. Math. J. 51, No. 1, 78-87 (2010); translation from Sib. Mat. Zh. 51, No. 1, 98-109 (2010). Reviewer: Hu Yong-Jian (Beijing) MSC: 15A39 06B99 90C05 PDFBibTeX XMLCite \textit{S. S. Kutateladze}, Sib. Math. J. 51, No. 1, 78--87 (2010; Zbl 1225.15020); translation from Sib. Mat. Zh. 51, No. 1, 98--109 (2010) Full Text: DOI
Hermant, Audrey Stability analysis of optimal control problems with a second-order state constraint. (English) Zbl 1218.49031 SIAM J. Optim. 20, No. 1, 104-129 (2009). MSC: 49K40 34H05 90C31 49K15 PDFBibTeX XMLCite \textit{A. Hermant}, SIAM J. Optim. 20, No. 1, 104--129 (2009; Zbl 1218.49031) Full Text: DOI Link
Mangasarian, Olvi L. Absolute value programming. (English) Zbl 1278.90386 Comput. Optim. Appl. 36, No. 1, 43-53 (2007). MSC: 90C30 90C46 90C33 PDFBibTeX XMLCite \textit{O. L. Mangasarian}, Comput. Optim. Appl. 36, No. 1, 43--53 (2007; Zbl 1278.90386) Full Text: DOI
Xue, Xifeng; Xing, Zhidong; Meng, Hongyun Trust region method for solving nonlinear equations. (Chinese. English summary) Zbl 1018.65070 J. Northwest Univ., Nat. Sci. Ed. 31, No. 4, 289-291 (2001). MSC: 65H10 65K05 90C20 PDFBibTeX XMLCite \textit{X. Xue} et al., J. Northwest Univ., Nat. Sci. Ed. 31, No. 4, 289--291 (2001; Zbl 1018.65070)
Szilágyi, Péter Nonhomogeneous linear theorems of the alternative. (English) Zbl 0969.15005 PU.M.A., Pure Math. Appl. 10, No. 2, 141-159 (1999). Reviewer: D.I.Duca (Cluj-Napoca) MSC: 15A39 90C05 90C33 15A06 PDFBibTeX XMLCite \textit{P. Szilágyi}, PU.M.A., Pure Math. Appl. 10, No. 2, 141--159 (1999; Zbl 0969.15005)
Duca, Dorel I. Theorem of Motzkin’s alternative for nonhomogeneous complex linear equations and inequalities. (English) Zbl 0636.90095 Math., Rev. Anal. Numér. Théor. Approximation, Anal. Numér. Théor. Approximation 16, 117-126 (1987). MSC: 90C48 90C05 PDFBibTeX XMLCite \textit{D. I. Duca}, Math. Rev. Anal. Numér. Théor. Approximation, Anal. Numér. Théor. Approximation 16, 117--126 (1987; Zbl 0636.90095)
Luhmer, A. Optimal control with switching dynamics. (English) Zbl 0509.49010 Operations research in progress, Theory Decis. Libr. 32, 247-260 (1982). MSC: 49K15 49K30 90B05 90B30 93C15 PDFBibTeX XML
Whittle, P. Identities relating forward and backward treatments of optimisation. (English) Zbl 0502.62070 Essays in statistical science, Pap. in Honour of P.A.P. Moran, J. Appl. Probab., Spec. Vol. 19A, 395-399 (1982). MSC: 62L15 90C40 PDFBibTeX XML