Luu, Hoang Phuc Hau; Le, Hoai Minh; Le Thi, Hoai An Markov chain stochastic DCA and applications in deep learning with PDEs regularization. (English) Zbl 07794066 Neural Netw. 170, 149-166 (2024). MSC: 90C26 90C15 46B99 60F99 PDFBibTeX XMLCite \textit{H. P. H. Luu} et al., Neural Netw. 170, 149--166 (2024; Zbl 07794066) Full Text: DOI
Han, Yu; Zhang, Kai Semicontinuity of the minimal solution mappings to parametric set optimization problems on Banach lattices. (English) Zbl 1517.49014 Optimization 72, No. 8, 1961-1993 (2023). MSC: 49K40 46B42 49J53 90C29 90C31 PDFBibTeX XMLCite \textit{Y. Han} and \textit{K. Zhang}, Optimization 72, No. 8, 1961--1993 (2023; Zbl 1517.49014) Full Text: DOI
Kong, Dezhou; Liu, Lishan; Li, Jinlu; Wu, Yonghong Isotonicity of the metric projection with respect to the mutually dual orders and complementarity problems. (English) Zbl 1528.41099 Optimization 71, No. 16, 4855-4877 (2022). MSC: 41A65 06B30 47H07 47H10 47J20 49J53 90C33 90C48 PDFBibTeX XMLCite \textit{D. Kong} et al., Optimization 71, No. 16, 4855--4877 (2022; Zbl 1528.41099) Full Text: DOI
Chancelier, Jean-Philippe; De Lara, Michel Capra-convexity, convex factorization and variational formulations for the \(\ell_0\) pseudonorm. (English) Zbl 1500.46056 Set-Valued Var. Anal. 30, No. 2, 597-619 (2022). MSC: 46N10 49N15 46B99 52A41 90C46 PDFBibTeX XMLCite \textit{J.-P. Chancelier} and \textit{M. De Lara}, Set-Valued Var. Anal. 30, No. 2, 597--619 (2022; Zbl 1500.46056) Full Text: DOI arXiv
Chancelier, Jean-Philippe; De Lara, Michel Constant along primal rays conjugacies and the \(l_0\) pseudonorm. (English) Zbl 1495.46059 Optimization 71, No. 2, 355-386 (2022). MSC: 46N10 49N15 46B99 52A41 90C46 PDFBibTeX XMLCite \textit{J.-P. Chancelier} and \textit{M. De Lara}, Optimization 71, No. 2, 355--386 (2022; Zbl 1495.46059) Full Text: DOI arXiv
Landsman, Z.; Makov, U.; Shushi, T. Portfolio optimization by a bivariate functional of the mean and variance. (English) Zbl 1443.90271 J. Optim. Theory Appl. 185, No. 2, 622-651 (2020). MSC: 90C25 49N10 46B99 PDFBibTeX XMLCite \textit{Z. Landsman} et al., J. Optim. Theory Appl. 185, No. 2, 622--651 (2020; Zbl 1443.90271) Full Text: DOI
Garling, D. J. H. Analysis on Polish spaces and an introduction to optimal transportation. (English) Zbl 1407.46001 London Mathematical Society Student Texts 89. Cambridge: Cambridge University Press (ISBN 978-1-108-42157-7/hbk; 978-1-108-43176-7/pbk; 978-1-108-37736-2/ebook). ix, 348 p. (2018). Reviewer: K. P. Hart (Delft) MSC: 46-01 54-01 28-01 54E50 28C15 46B99 46C99 90B06 PDFBibTeX XMLCite \textit{D. J. H. Garling}, Analysis on Polish spaces and an introduction to optimal transportation. Cambridge: Cambridge University Press (2018; Zbl 1407.46001) Full Text: DOI
Wang, Yuehu; Liu, Baoqing Minimal fixed point theorem and its applications to discontinuous variational inequalities in Hilbert lattices. (English) Zbl 1363.47103 Math. Appl. 29, No. 1, 152-160 (2016). MSC: 47H10 47H07 49J40 90C33 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{B. Liu}, Math. Appl. 29, No. 1, 152--160 (2016; Zbl 1363.47103)
Landsman, Zinoviy; Makov, Udi Minimization of a function of a quadratic functional with application to optimal portfolio selection. (English) Zbl 1346.90668 J. Optim. Theory Appl. 170, No. 1, 308-322 (2016). MSC: 90C25 49N10 46B99 91G10 PDFBibTeX XMLCite \textit{Z. Landsman} and \textit{U. Makov}, J. Optim. Theory Appl. 170, No. 1, 308--322 (2016; Zbl 1346.90668) Full Text: DOI
Phu, Hoang Xuan Inner \(\gamma\)-convex functions in normed linear spaces. (English) Zbl 1400.26028 Vietnam J. Math. 43, No. 2, 487-500 (2015). MSC: 26B25 90C26 26A51 49J53 46B99 PDFBibTeX XMLCite \textit{H. X. Phu}, Vietnam J. Math. 43, No. 2, 487--500 (2015; Zbl 1400.26028) Full Text: DOI
Guo, Weiping; Wen, Yihui Generalized implicit complementarity problems in Banach spaces. (Chinese. English summary) Zbl 1340.90259 Acta Math. Sci., Ser. A, Chin. Ed. 34, No. 6, 1391-1396 (2014). MSC: 90C48 46B99 90C33 PDFBibTeX XMLCite \textit{W. Guo} and \textit{Y. Wen}, Acta Math. Sci., Ser. A, Chin. Ed. 34, No. 6, 1391--1396 (2014; Zbl 1340.90259)
Dinh, N.; Goberna, M. A.; López, M. A.; Mo, T. H. From the Farkas lemma to the Hahn-Banach theorem. (English) Zbl 1305.46062 SIAM J. Optim. 24, No. 2, 678-701 (2014). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 46N10 46A40 90C48 46A22 PDFBibTeX XMLCite \textit{N. Dinh} et al., SIAM J. Optim. 24, No. 2, 678--701 (2014; Zbl 1305.46062) Full Text: DOI Link
Lee, Byung-Soo; Li, Jinlu Order-optimization problems and ordered variational inequalities on Banach lattices. (English) Zbl 1301.46005 Nonlinear Anal. Forum 18, 13-31 (2013). Reviewer: S. S. Kutateladze (Novosibirsk) MSC: 46B42 90C48 PDFBibTeX XMLCite \textit{B.-S. Lee} and \textit{J. Li}, Nonlinear Anal. Forum 18, 13--31 (2013; Zbl 1301.46005)
Heyde, Frank; Schrage, Carola Continuity concepts for set-valued functions and a fundamental duality formula for set-valued optimization. (English) Zbl 1261.46070 J. Math. Anal. Appl. 397, No. 2, 772-784 (2013). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 46N10 47H04 90C46 26E25 46A40 47N10 47H07 90C25 PDFBibTeX XMLCite \textit{F. Heyde} and \textit{C. Schrage}, J. Math. Anal. Appl. 397, No. 2, 772--784 (2013; Zbl 1261.46070) Full Text: DOI arXiv
Aubin, Jean-Pierre Mathematical methods of game and economic theory. With a new preface by the author. Reprint of the 1982 revised ed. (English) Zbl 1152.91005 Mineola, NY: Dover Publications (ISBN 978-0-486-46265-3/pbk). xxxii, 616 p. (2007). MSC: 91Axx 90-02 91B50 46A03 46B99 46C99 49N15 91A99 49J27 54H25 PDFBibTeX XMLCite \textit{J.-P. Aubin}, Mathematical methods of game and economic theory. With a new preface by the author. Reprint of the 1982 revised ed. Mineola, NY: Dover Publications (2007; Zbl 1152.91005)
Alvoni, E.; Papini, P. L. Perturbation of sets and centers. (English) Zbl 1089.46016 J. Glob. Optim. 33, No. 3, 423-434 (2005). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 46C15 46B20 46B99 90B85 PDFBibTeX XMLCite \textit{E. Alvoni} and \textit{P. L. Papini}, J. Glob. Optim. 33, No. 3, 423--434 (2005; Zbl 1089.46016) Full Text: DOI
Eberhard, A.; Ralph, D. Rank-1 representers. (English) Zbl 1048.49009 J. Math. Sci., New York 115, No. 5, 2653-2700 (2003). Reviewer: Zsolt Páles (Debrecen) MSC: 49J52 46B99 46G99 46N10 90C48 PDFBibTeX XMLCite \textit{A. Eberhard} and \textit{D. Ralph}, J. Math. Sci., New York 115, No. 5, 2653--2700 (2003; Zbl 1048.49009) Full Text: DOI
Loridan, P.; Morgan, J.; Raucci, R. Convergence of minimal and approximate minimal elements of sets in partially ordered vector spaces. (English) Zbl 0997.90100 J. Math. Anal. Appl. 239, No. 2, 427-439 (1999). Reviewer: Wolfgang W.Breckner (Cluj-Napoca) MSC: 90C48 49J45 46B99 46N10 49J40 90C29 PDFBibTeX XMLCite \textit{P. Loridan} et al., J. Math. Anal. Appl. 239, No. 2, 427--439 (1999; Zbl 0997.90100) Full Text: DOI
Baronti, Marco; Casini, Emanuele; Papini, Pier Luigi Centroids, centers, medians: What is the difference? (English) Zbl 0911.52006 Geom. Dedicata 68, No. 2, 157-168 (1997). Reviewer: Sándor Fekete (Köln) MSC: 52A40 52A21 46B99 90B85 PDFBibTeX XMLCite \textit{M. Baronti} et al., Geom. Dedicata 68, No. 2, 157--168 (1997; Zbl 0911.52006) Full Text: DOI
Henkel, E.-Ch. \(\varepsilon k^ 0\)-subdifferentials of convex functions. (English) Zbl 0865.90137 Z. Anal. Anwend. 15, No. 4, 999-1013 (1996). MSC: 90C48 90C25 PDFBibTeX XMLCite \textit{E. Ch. Henkel}, Z. Anal. Anwend. 15, No. 4, 999--1013 (1996; Zbl 0865.90137) Full Text: DOI
Choban, M. M. Well-posedness of optimization problems and measurable functions. (English) Zbl 1040.49502 Math. Balk., New Ser. 10, No. 2-3, 211-236 (1996). MSC: 49K40 54C30 90C48 PDFBibTeX XMLCite \textit{M. M. Choban}, Math. Balk., New Ser. 10, No. 2--3, 211--236 (1996; Zbl 1040.49502)
Kulkarni, S. H.; Sivakumar, K. C. Explicit solutions of a special class of linear programming problem in Banach spaces. (English) Zbl 0881.46022 Acta Sci. Math. 62, No. 3-4, 457-465 (1996). Reviewer: Tibor Illés (Budapest) MSC: 46B99 90C48 PDFBibTeX XMLCite \textit{S. H. Kulkarni} and \textit{K. C. Sivakumar}, Acta Sci. Math. 62, No. 3--4, 457--465 (1996; Zbl 0881.46022)
Schaible, Siegfried; Yao, Jen-Chih On the equivalence of nonlinear complementarity problems and least-element problems. (English) Zbl 0847.90133 Math. Program. 70, No. 2 (A), 191-200 (1995). MSC: 90C33 PDFBibTeX XMLCite \textit{S. Schaible} and \textit{J.-C. Yao}, Math. Program. 70, No. 2 (A), 191--200 (1995; Zbl 0847.90133) Full Text: DOI
Baronti, M.; Casini, E.; Papini, P. L. Equilateral sets and their central points. (English) Zbl 0803.46014 Rend. Mat. Appl., VII. Ser. 13, No. 1, 133-148 (1993). Reviewer: D.Cieslik (Greifswald) MSC: 46A55 51M16 52A40 46B99 90B85 PDFBibTeX XMLCite \textit{M. Baronti} et al., Rend. Mat. Appl., VII. Ser. 13, No. 1, 133--148 (1993; Zbl 0803.46014)
Yang, X. Q. A Hahn-Banach theorem in ordered linear spaces and its applications. (English) Zbl 0834.46006 Optimization 25, No. 1, 1-9 (1992). MSC: 46A22 49J52 46A40 90C29 PDFBibTeX XMLCite \textit{X. Q. Yang}, Optimization 25, No. 1, 1--9 (1992; Zbl 0834.46006) Full Text: DOI
Kusraev, A. G.; Kutateladze, S. S. Subdifferentials. Theory and applications. (Субдифференциалы. Теория и приложения.) (Russian) Zbl 0760.49012 Novosibirsk: Nauka. 270 pp. (1992). Reviewer: J.Thierfelder (Ilmenau) MSC: 49J52 49-02 90C48 47B60 46A40 90C25 90C29 46A22 46N10 PDFBibTeX XMLCite \textit{A. G. Kusraev} and \textit{S. S. Kutateladze}, Субдифференциалы. Теория и приложения (Russian). Novosibirsk: Nauka (1992; Zbl 0760.49012)
Kon, M. A.; Tempo, R. Linearity of algorithms and a result of Ando. (English) Zbl 0739.68047 J. Complexity 7, No. 2, 213-217 (1991). Reviewer: M.Jůza (Praha) MSC: 68Q30 46B99 90C60 PDFBibTeX XMLCite \textit{M. A. Kon} and \textit{R. Tempo}, J. Complexity 7, No. 2, 213--217 (1991; Zbl 0739.68047) Full Text: DOI
Kannan, Ravi; Lovász, László; Scarf, Herbert E. The shapes of polyhedra. (English) Zbl 0712.52015 Math. Oper. Res. 15, No. 2, 364-380 (1990). Reviewer: R.Nehse MSC: 52C07 51M20 90C10 11H06 PDFBibTeX XMLCite \textit{R. Kannan} et al., Math. Oper. Res. 15, No. 2, 364--380 (1990; Zbl 0712.52015) Full Text: DOI
Yano, Makoto Comparative statics in dynamic stochastic models. Differential analysis of a stochastic modified golden rule state in a Banach space. (English) Zbl 0694.90034 J. Math. Econ. 18, No. 2, 169-185 (1989). Reviewer: G.L.Gómez M MSC: 91B62 90C48 46B99 90C90 90C15 PDFBibTeX XMLCite \textit{M. Yano}, J. Math. Econ. 18, No. 2, 169--185 (1989; Zbl 0694.90034) Full Text: DOI
Owens, R. W.; Sreedharan, V. P. An algorithm for approximation by elements of a cone in a Banach space. (English) Zbl 0686.90041 Numer. Funct. Anal. Optimization 10, No. 11-12, 1161-1189 (1989). Reviewer: R.W.Owens MSC: 90C48 46B99 41A50 PDFBibTeX XMLCite \textit{R. W. Owens} and \textit{V. P. Sreedharan}, Numer. Funct. Anal. Optim. 10, No. 11--12, 1161--1189 (1989; Zbl 0686.90041) Full Text: DOI
Schäfer, Klaus Semi-infinite linear optimization on noncompact spaces and its application to approximation theory. (English) Zbl 0659.90064 Numer. Funct. Anal. Optimization 10, No. 5-6, 557-572 (1989). Reviewer: K.Schäfer MSC: 90C05 90C34 41A65 46B99 90C48 PDFBibTeX XMLCite \textit{K. Schäfer}, Numer. Funct. Anal. Optim. 10, No. 5--6, 557--572 (1989; Zbl 0659.90064) Full Text: DOI
Bector, C. R.; Bhatt, S. K. Optimality conditions and duality for quasi-convex programming in real Banach space. (English) Zbl 0665.90098 Numerical mathematics and computing, 17th Manitoba Conf., Winnipeg Can. 1987, Congr. Numerantium 62, 101-108 (1988). MSC: 90C48 46B99 49K27 90C30 49N15 PDFBibTeX XML
Zalmai, G. J. Optimality conditions and subgradient duality for minimax programming problems with applications. (English) Zbl 0663.90081 Util. Math. 34, 193-222 (1988). MSC: 90C30 90C32 49K35 90C34 49M37 49N15 90C48 49K27 46B99 PDFBibTeX XMLCite \textit{G. J. Zalmai}, Util. Math. 34, 193--222 (1988; Zbl 0663.90081)
Giannessi, F. On a generalization of F. John theorem for constrained extremum problems. (English) Zbl 0656.49012 Advances in mathematical optimization, Pap. Dedic. F. Nožička Occas. 70. Birthday, Math. Res. 45, 52-62 (1988). Reviewer: W.Velte MSC: 49K27 46B99 90C48 PDFBibTeX XML
Nagahisa, Youji Necessary conditions for a mathematical programming problem with set and cone constraints. (English) Zbl 0646.90093 J. Aust. Math. Soc., Ser. B 29, No. 3, 310-321 (1988). Reviewer: N.A.Warsi MSC: 90C48 46B99 PDFBibTeX XMLCite \textit{Y. Nagahisa}, J. Aust. Math. Soc., Ser. B 29, No. 3, 310--321 (1988; Zbl 0646.90093) Full Text: DOI
Mira López, J. A. Some results about linear inequality systems. (Spanish. English summary) Zbl 0646.90061 Trab. Invest. Oper. 3, No. 1, 103-115 (1988). MSC: 90C05 90C48 46B99 15A39 PDFBibTeX XMLCite \textit{J. A. Mira López}, Trab. Invest. Oper. 3, No. 1, 103--115 (1988; Zbl 0646.90061) Full Text: EuDML
Attouch, Hedy; Wets, Roger J.-B. Another isometry for the Legendre-Fenchel transform. (English) Zbl 0644.49010 J. Math. Anal. Appl. 131, No. 2, 404-411 (1988). Reviewer: G.Buttazzo MSC: 49J45 46B99 54A20 26E15 90C25 PDFBibTeX XMLCite \textit{H. Attouch} and \textit{R. J. B. Wets}, J. Math. Anal. Appl. 131, No. 2, 404--411 (1988; Zbl 0644.49010) Full Text: DOI
Sterna-Karwat, A. Remarks on convex cones. (English) Zbl 0628.90091 J. Optimization Theory Appl. 59, No. 2, 335-340 (1988). MSC: 90C48 90C31 46B99 PDFBibTeX XMLCite \textit{A. Sterna-Karwat}, J. Optim. Theory Appl. 59, No. 2, 335--340 (1988; Zbl 0628.90091) Full Text: DOI
Staib, T. On two generalizations of Pareto minimality. (English) Zbl 0628.90076 J. Optimization Theory Appl. 59, No. 2, 289-306 (1988). MSC: 90C31 90C48 46B99 PDFBibTeX XMLCite \textit{T. Staib}, J. Optim. Theory Appl. 59, No. 2, 289--306 (1988; Zbl 0628.90076) Full Text: DOI
Németh, A. B. Subdifferentiability of convex operators ranging in latticially ordered Banach spaces. (English) Zbl 0711.46037 Prepr., “Babeș-Bolyai” Univ., Fac. Math. Phys., Res. Semin. 1, 115-120 (1987). MSC: 46G05 46B40 49J25 58C20 90C48 46A40 PDFBibTeX XMLCite \textit{A. B. Németh}, Prepr., ``Babeș-Bolyai'' Univ., Fac. Math. Phys., Res. Semin. 1987, No. 1, 115--120 (1987; Zbl 0711.46037)
Vasil’ev, F. P. A residual method for solving unstable minimization problems. (English. Russian original) Zbl 0665.49005 Mosc. Univ. Comput. Math. Cybern. 1987, No. 4, 1-6 (1987). MSC: 49J27 49J45 90C48 46B99 49K40 PDFBibTeX XMLCite \textit{F. P. Vasil'ev}, Mosc. Univ. Comput. Math. Cybern. 1987, No. 4, 1--6 (1987; Zbl 0665.49005)
Do Van Luu An approach to sufficient optimality conditions in mathematical programming. (English) Zbl 0659.49015 Nonlinear analysis and optimization problems. Essays dedic. Hoang Tuy Occas. 60th Birthday, 60-72 (1987). MSC: 49K35 49K27 90C30 46B99 PDFBibTeX XML
Kusraev, A. G.; Kutateladze, S. S. Subdifferential calculus. (Субдифференциальное исчисление.) (Russian) Zbl 0655.49001 Novosibirsk: Izdatel’stvo “Nauka” Sibirskoe Otdelenie. 224 pp. R. 3.40 (1987). Reviewer: M. Sury MSC: 49J52 49-02 49J45 46E30 46A22 47H99 46A30 49N15 46A40 90C25 58E12 54C08 PDFBibTeX XML
Borwein, J. M. Convex cones, minimality notions, and consequences. (English) Zbl 0647.90101 Recent advances and historical development of vector optimization, Proc. Int. Conf., Darmstadt/FRG 1986, Lect. Notes Econ. Math. Syst. 294, 62-85 (1987). Reviewer: A.Sterna-Karwat MSC: 90C48 90C31 46B99 90C30 90C25 90C33 PDFBibTeX XML
Zalmai, G. J. Optimality criteria and duality for a class of minmax programming problems with generalized invexity conditions. (English) Zbl 0646.90092 Util. Math. 32, 35-57 (1987). Reviewer: N.Warsi MSC: 90C48 49N15 46B99 PDFBibTeX XMLCite \textit{G. J. Zalmai}, Util. Math. 32, 35--57 (1987; Zbl 0646.90092)
Vasil’ev, F. P. A residual method for solving unstable minimization problems. (Russian) Zbl 0639.49008 Vestn. Mosk. Univ., Ser. XV 1987, No. 4, 6-10 (1987). Reviewer: Shouchuan Hu (Springfield) MSC: 49J27 49J45 90C48 46B99 49K40 PDFBibTeX XMLCite \textit{F. P. Vasil'ev}, Vestn. Mosk. Univ., Ser. XV 1987, No. 4, 6--10 (1987; Zbl 0639.49008)
Isac, George; Thera, M. A variational principle application to the nonlinear complementarity problem. (English) Zbl 0639.49007 Nonlinear and convex analysis, Proc. Conf. Hon. Ky Fan, Santa Barbara/Calif. 1985, Lect. Notes Pure Appl. Math. 107, 127-145 (1987). Reviewer: V.Mustonen MSC: 49J27 49J40 90C33 46A55 46B99 52A07 PDFBibTeX XML
Nanda, Sudarsan Nonlinear complementarity problem of mathematical programming in Banach space. (English) Zbl 0628.90083 Indian J. Pure Appl. Math. 18, 215-218 (1987). MSC: 90C33 90C48 46B99 49M37 PDFBibTeX XMLCite \textit{S. Nanda}, Indian J. Pure Appl. Math. 18, 215--218 (1987; Zbl 0628.90083)
Al’ber, Ya. I.; Notik, A. I. On minimization of functionals and solution of variational inequalities in Banach spaces. (English. Russian original) Zbl 0614.49007 Sov. Math., Dokl. 34, 296-300 (1987); translation from Dokl. Akad. Nauk SSSR 290, 521-526 (1986). MSC: 49J40 46B99 47H05 90C48 PDFBibTeX XMLCite \textit{Ya. I. Al'ber} and \textit{A. I. Notik}, Sov. Math., Dokl. 34, 296--300 (1987; Zbl 0614.49007); translation from Dokl. Akad. Nauk SSSR 290, 521--526 (1986)
Barbu, Viorel; Seidman, Thomas I. Existence for minimization in Banach space with some applications. (English) Zbl 0613.49008 J. Math. Anal. Appl. 121, 96-108 (1987). Reviewer: E.Sachs MSC: 49J27 46B99 49J20 49J45 49J50 90C48 93C20 PDFBibTeX XMLCite \textit{V. Barbu} and \textit{T. I. Seidman}, J. Math. Anal. Appl. 121, 96--108 (1987; Zbl 0613.49008) Full Text: DOI
Wanka, Alfred Extensions of matroids for the existence of finite LP-algorithms, of Hahn-Banach theorems, and polarity in oriented matroids. (Matroiderweiterungen zur Existenz endlicher LP-Algorithmen, von Hahn- Banach Sätzen und Polarität in orientierten Matroiden.) (German) Zbl 0747.05025 Köln: Univ. Köln, Mathematisch-Naturwiss. Fak. 85 S. (1986). MSC: 05B35 90C05 PDFBibTeX XMLCite \textit{A. Wanka}, Matroiderweiterungen zur Existenz endlicher LP-Algorithmen, von Hahn- Banach Sätzen und Polarität in orientierten Matroiden. Köln: Univ. Köln, Mathematisch-Naturwiss. Fak. (1986; Zbl 0747.05025)
Chakalov, V. L. Extremal elements of normed spaces and some extremal problems related to them. II. (Russian) Zbl 0639.49005 Serdica 12, 332-350 (1986). Reviewer: S.Balint MSC: 49J27 49K27 90C48 46B99 PDFBibTeX XMLCite \textit{V. L. Chakalov}, Serdica 12, 332--350 (1986; Zbl 0639.49005)
Akhmedov, F. G. On saddle points of the Lagrange function. (Russian. English summary) Zbl 0636.90074 Izv. Akad. Nauk Az. SSR, Ser. Fiz.-Tekh. Mat. Nauk 1986, No. 5, 104-108 (1986). MSC: 90C25 90C48 46B99 PDFBibTeX XMLCite \textit{F. G. Akhmedov}, Izv. Akad. Nauk Az. SSR, Ser. Fiz.-Tekh. Mat. Nauk 1986, No. 5, 104--108 (1986; Zbl 0636.90074)
Wang, Susheng A separation theorem of convex cone on ordered vector space and its applications. (Chinese. English summary) Zbl 0633.46010 Acta Math. Appl. Sin. 9, 309-318 (1986). MSC: 46A40 46A55 90C25 46A22 PDFBibTeX XMLCite \textit{S. Wang}, Acta Math. Appl. Sin. 9, 309--318 (1986; Zbl 0633.46010)
Chakalov, V. L. Extremal elements of normed spaces and some extremal problems related to them. I. (Russian) Zbl 0625.49003 Serdica 12, 250-264 (1986). Reviewer: S.Balint MSC: 49J27 46B99 90C48 PDFBibTeX XMLCite \textit{V. L. Chakalov}, Serdica 12, 250--264 (1986; Zbl 0625.49003)
Gerstewitz, Christiane Nichtkonvexe Trennungssätze und deren Anwendung in der Theorie der Vektoroptimierung. (Nonconvex separation theorems and their application in vector optimization). (German) Zbl 0609.49005 Seminarber., Humboldt-Univ. Berlin, Sekt. Math. 80, 19-31 (1986). Reviewer: J.D.Weston MSC: 49J27 46A22 49N15 46A40 90C48 PDFBibTeX XMLCite \textit{C. Gerstewitz}, Seminarber., Humboldt-Univ. Berlin, Sekt. Math. 80, 19--31 (1986; Zbl 0609.49005)
Durier, Roland; Michelot, Christian Sets of efficient points in a normed space. (English) Zbl 0605.49020 J. Math. Anal. Appl. 117, 506-528 (1986). MSC: 49K27 52A07 90C31 46B99 PDFBibTeX XMLCite \textit{R. Durier} and \textit{C. Michelot}, J. Math. Anal. Appl. 117, 506--528 (1986; Zbl 0605.49020) Full Text: DOI
Ng, Kung-Fu; Yost, David Quasi-regularity in optimization. (English) Zbl 0601.49014 J. Aust. Math. Soc., Ser. A 41, 188-192 (1986). MSC: 49K27 46B99 90C48 49J50 PDFBibTeX XMLCite \textit{K.-F. Ng} and \textit{D. Yost}, J. Aust. Math. Soc., Ser. A 41, 188--192 (1986; Zbl 0601.49014)
Motreanu, D. Existence for minimization with nonconvex constraints. (English) Zbl 0599.49008 J. Math. Anal. Appl. 117, 128-137 (1986). MSC: 49J27 58E25 90C48 46B99 58E05 PDFBibTeX XMLCite \textit{D. Motreanu}, J. Math. Anal. Appl. 117, 128--137 (1986; Zbl 0599.49008) Full Text: DOI
Pallaschke, D.; Recht, P.; Urbański, R. On locally-Lipschitz quasi-differentiable functions in Banach-spaces. (English) Zbl 0597.49011 Optimization 17, 287-295 (1986). Reviewer: K.Zimmermann MSC: 49J50 46G05 90C30 26B05 46B99 PDFBibTeX XMLCite \textit{D. Pallaschke} et al., Optimization 17, 287--295 (1986; Zbl 0597.49011) Full Text: DOI
Wang, Susheng The convex vector programming on an order complete ordered topological vector space. (English) Zbl 0595.90095 Chin. Ann. Math., Ser. B 7, 111-123 (1986). MSC: 90C48 46A40 PDFBibTeX XMLCite \textit{S. Wang}, Chin. Ann. Math., Ser. B 7, 111--123 (1986; Zbl 0595.90095)
Smarzewski, Ryszard Strongly unique minimization of functionals in Banach spaces with applications to theory of approximation and fixed points. (English) Zbl 0593.49004 J. Math. Anal. Appl. 115, 155-172 (1986). Reviewer: R.Lucchetti MSC: 49J27 41A50 90C48 46B99 46C99 47H10 49K40 PDFBibTeX XMLCite \textit{R. Smarzewski}, J. Math. Anal. Appl. 115, 155--172 (1986; Zbl 0593.49004) Full Text: DOI
Ekeland, I. Two results in convex analysis. (English) Zbl 0589.49007 Optimization and related fields, Proc. G. Stampacchia Int. Sch. Math., Erice/Italy 1984, Lect. Notes Math. 1190, 215-228 (1986). Reviewer: S.Tersian MSC: 49J45 49N15 90C25 46B99 PDFBibTeX XML
Komiya, H. Minimum norm problems in normed vector lattices. (English) Zbl 0603.90094 Infinite programming, Proc. Int. Symp., Cambridge/U.K. 1984, Lect. Notes Econ. Math. Syst. 259, 219-225 (1985). Reviewer: J.F.Bonnans MSC: 90C05 46B42 49J27 90C48 52A40 52C07 PDFBibTeX XML
Avakov, E. R. Extremum conditions for smooth problems with equality-type constraints. (English) Zbl 0595.49016 U.S.S.R. Comput. Math. Math. Phys. 25, No. 3, 24-32 (1985). MSC: 49K27 46B99 90C48 PDFBibTeX XMLCite \textit{E. R. Avakov}, U.S.S.R. Comput. Math. Math. Phys. 25, No. 3, 24--32 (1985; Zbl 0595.49016) Full Text: DOI
Plotnikov, V. I.; Starobinets, I. M. On operator inclusions in smooth extremal problems. (Russian) Zbl 0593.49018 Izv. Vyssh. Uchebn. Zaved., Mat. 1985, No. 12(283), 42-48 (1985). Reviewer: Z.Wyderka MSC: 49K27 46B99 93B05 90C48 PDFBibTeX XMLCite \textit{V. I. Plotnikov} and \textit{I. M. Starobinets}, Izv. Vyssh. Uchebn. Zaved., Mat. 1985, No. 12(283), 42--48 (1985; Zbl 0593.49018)
Kruger, A. Ya. Generalized differentials of nonsmooth functions, and necessary conditions for an extremum. (English) Zbl 0583.49016 Sib. Math. J. 26, 370-379 (1985). MSC: 49K27 26E15 90C30 26A16 26A24 46B99 46G05 49J50 58C20 PDFBibTeX XMLCite \textit{A. Ya. Kruger}, Sib. Math. J. 26, 370--379 (1985; Zbl 0583.49016) Full Text: DOI
Hun, Jang Chang An approximation theory of dynamic extremum problems in Banach space. (Korean. English summary) Zbl 0579.49023 Math. Phys., Pyongyang 1985, No. 4, 13-24 (1985). MSC: 49K27 46B99 90C52 49K35 PDFBibTeX XMLCite \textit{J. C. Hun}, Math. Phys., Pyongyang 1985, No. 4, 13--24 (1985; Zbl 0579.49023)
Rolewicz, S. A method of reduction of constraints. (English) Zbl 0572.49010 Mathematical control theory, Banach Cent. Publ. 14, 469-476 (1985). MSC: 49K27 46B99 90C30 PDFBibTeX XML
Avakov, E. R. Extremum conditions for smooth problems with constraints of equality type. (Russian) Zbl 0571.49016 Zh. Vychisl. Mat. Mat. Fiz. 25, No. 5, 680-693 (1985). Reviewer: C.Zălinescu MSC: 49K27 46B99 90C48 PDFBibTeX XMLCite \textit{E. R. Avakov}, Zh. Vychisl. Mat. Mat. Fiz. 25, No. 5, 680--693 (1985; Zbl 0571.49016)
Kruger, A. Ya. Generalized differentials of nonsmooth functions and necessary extremum conditions. (Russian) Zbl 0568.49014 Sib. Mat. Zh. 26, No. 3(151), 78-90 (1985). Reviewer: K.Zimmermann MSC: 49K27 49J50 90C30 46B99 46G05 26E15 26A16 58C20 26A24 PDFBibTeX XMLCite \textit{A. Ya. Kruger}, Sib. Mat. Zh. 26, No. 3(151), 78--90 (1985; Zbl 0568.49014) Full Text: EuDML
Phan Quoc Khanh On Pontryagin maximum principle for linear systems with constraints. (English) Zbl 0566.49014 Optimization 16, 63-69 (1985). Reviewer: H.O.Fattorini MSC: 49K27 93C25 90C48 93C05 46B99 PDFBibTeX XMLCite \textit{Phan Quoc Khanh}, Optimization 16, 63--69 (1985; Zbl 0566.49014) Full Text: DOI
Tröltzsch, Fredi On Lagrange multiplier rules and their application to non-linear control problems in function spaces. (English) Zbl 0568.49013 Seminarber., Humboldt-Univ. Berlin, Sekt. Math. 64, 121-129 (1984). Reviewer: W.Kotarski MSC: 49K27 90C48 93C10 49K20 49K99 45G10 46B99 93C20 93C30 90C30 93C25 PDFBibTeX XMLCite \textit{F. Tröltzsch}, Seminarber., Humboldt-Univ. Berlin, Sekt. Math. 64, 121--129 (1984; Zbl 0568.49013)
Alt, Walter On the approximation of infinite optimization problems with an application to optimal control problems. (English) Zbl 0567.49015 Appl. Math. Optimization 12, 15-27 (1984). MSC: 49M05 49K27 46B99 90C48 65K10 49M25 PDFBibTeX XMLCite \textit{W. Alt}, Appl. Math. Optim. 12, 15--27 (1984; Zbl 0567.49015) Full Text: DOI
Phan Quoc Khanh A formula for extremum involving \(\Phi\)-convexity. (English) Zbl 0564.49015 Control Cybern. 13, 305-311 (1984). Reviewer: N.Warsi MSC: 49K27 49J27 49J45 46B99 90C25 PDFBibTeX XMLCite \textit{Phan Quoc Khanh}, Control Cybern. 13, 305--311 (1984; Zbl 0564.49015)
Tret’yakov, A. A. Necessary and sufficient conditions for optimality of P-th order. (English) Zbl 0562.49013 U.S.S.R. Comput. Math. Math. Phys. 24, No. 1, 123-127 (1984). MSC: 49K27 46B99 49J50 58C20 58E15 90C30 90C48 PDFBibTeX XMLCite \textit{A. A. Tret'yakov}, U.S.S.R. Comput. Math. Math. Phys. 24, No. 1, 123--127 (1984; Zbl 0562.49013) Full Text: DOI
Pedemonte, Orietta On perturbations of quadratic functionals with constraints. (English) Zbl 0549.49023 Control Cybern. 13, 15-26 (1984). MSC: 49K40 49J45 54A20 49K27 46B99 90C48 PDFBibTeX XMLCite \textit{O. Pedemonte}, Control Cybern. 13, 15--26 (1984; Zbl 0549.49023)
Dô Văn Luu Necessary and sufficient conditions for some general optimization problems. (English) Zbl 0548.49009 Acta Math. Vietnam. 7, No. 2, 37-57 (1982). Reviewer: K.Zimmermann MSC: 49K27 46B99 90C30 46A40 PDFBibTeX XMLCite \textit{Dô Văn Luu}, Acta Math. Vietnam. 7, No. 2, 37--57 (1984; Zbl 0548.49009)
Tret’yakov, A. A. Necessary and sufficient optimality conditions of p-th order. (Russian) Zbl 0537.49009 Zh. Vychisl. Mat. Mat. Fiz. 24, No. 2, 203-209 (1984). Reviewer: W.Stańczak MSC: 49K27 46B99 49J50 58C20 58E15 90C30 90C48 PDFBibTeX XMLCite \textit{A. A. Tret'yakov}, Zh. Vychisl. Mat. Mat. Fiz. 24, No. 2, 203--209 (1984; Zbl 0537.49009)
Rolewicz, Stefan Sufficient condition for Pareto optimization in Banach spaces. (English) Zbl 0526.49018 Stud. Math. 77, 111-114 (1984). MSC: 49K27 46B99 58E17 90C48 PDFBibTeX XMLCite \textit{S. Rolewicz}, Stud. Math. 77, 111--114 (1984; Zbl 0526.49018) Full Text: DOI EuDML
Walczak, S. Some properties of cones in normed spaces and their application to investigating extremal problems. (English) Zbl 0504.52001 J. Optimization Theory Appl. 42, 561-582 (1984). MSC: 52A15 46A40 90C25 PDFBibTeX XMLCite \textit{S. Walczak}, J. Optim. Theory Appl. 42, 561--582 (1984; Zbl 0504.52001) Full Text: DOI
Khachatryan, R. A. On non-smooth optimization problems in a Banach space. (Russian) Zbl 0579.49021 Kibernetika 1983, No. 5, 124-125 (1983). Reviewer: A.G.Kusraev MSC: 49K27 46B99 90C30 PDFBibTeX XMLCite \textit{R. A. Khachatryan}, Kibernetika 1983, No. 5, 124--125 (1983; Zbl 0579.49021)
Lorentz, R. Necessary conditions for local extremality in optimal problems at a limit point regarding the state equation. (English) Zbl 0545.49010 Functional-differential systems and related topics III, Proc. 3rd int. Conf., Błażejewko/Pol. 1983, 171-175 (1983). MSC: 49K27 47J05 90C30 46B99 49J50 PDFBibTeX XML
Joffe, Alexander D. New applications of nonsmooth analysis to nonsmooth optimization. (English) Zbl 0544.49002 Mathematical theories of optimization, Proc. Conf., Genova 1981, Lect. Notes Math. 979, 178-201 (1983). Reviewer: C.L.Sandblom MSC: 49J27 58C20 90C48 46B99 46G05 49K27 49K20 90C30 PDFBibTeX XML
Kazimirov, V. I.; Plotnikov, V. I.; Starobinets, I. M. A necessary condition for an extremum in smooth problems with operator restrictions. (English. Russian original) Zbl 0543.49009 Sov. Math. 27, No. 8, 24-30 (1983); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1983, No. 8, 21-26 (1983). Reviewer: T.Sawik MSC: 49K27 46B99 90C48 52A07 PDFBibTeX XMLCite \textit{V. I. Kazimirov} et al., Sov. Math. 27, No. 8, 24--30 (1983; Zbl 0543.49009); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1983, No. 8, 21--26 (1983)
Craven, B. D.; Glover, B. M.; Zlobec, S. On minimization subject to cone constraints. (English) Zbl 0543.49008 Numer. Funct. Anal. Optimization 6, 363-378 (1983). Reviewer: C.Zălinescu MSC: 49K27 52A07 90C30 49K15 90C34 46B99 PDFBibTeX XMLCite \textit{B. D. Craven} et al., Numer. Funct. Anal. Optim. 6, 363--378 (1983; Zbl 0543.49008) Full Text: DOI
Engelmann, B. Modifizierte Lagrangefunktionale und Dualität für nichtkonvexe Optimierungsprobleme in abstrakten Räumen. (German) Zbl 0542.49003 Wiss. Z., Tech. Hochsch. Leipz. 7, 365-374 (1983). Reviewer: O.Vaarmann MSC: 49J27 49N15 90C30 46B99 49M30 PDFBibTeX XMLCite \textit{B. Engelmann}, Wiss. Z., Tech. Hochsch. Leipz. 7, 365--374 (1983; Zbl 0542.49003)
Tang, Yun Conditions for constrained efficient solutions of multiobjective problems in Banach spaces. (English) Zbl 0527.49018 J. Math. Anal. Appl. 96, 505-519 (1983). MSC: 49K27 58E17 90C31 46B99 PDFBibTeX XMLCite \textit{Y. Tang}, J. Math. Anal. Appl. 96, 505--519 (1983; Zbl 0527.49018) Full Text: DOI
Warga, J. Optimization and controllability without differentiability assumptions. (English) Zbl 0526.49026 SIAM J. Control Optimization 21, 837-855 (1983). MSC: 93B05 28A15 49J45 46B99 49K27 26E25 93B03 49M37 58C20 90C30 PDFBibTeX XMLCite \textit{J. Warga}, SIAM J. Control Optim. 21, 837--855 (1983; Zbl 0526.49026) Full Text: DOI
Hazen, G. B.; Morin, T. L. Nonconical optimality conditions: Some additional results. (English) Zbl 0519.90085 J. Optimization Theory Appl. 41, 619-623 (1983). MSC: 90C31 46B99 49K27 90C48 PDFBibTeX XMLCite \textit{G. B. Hazen} and \textit{T. L. Morin}, J. Optim. Theory Appl. 41, 619--623 (1983; Zbl 0519.90085) Full Text: DOI
Furukawa, Nagata Optimality conditions in nondifferentiable programming and their applications to best approximations. (English) Zbl 0518.49017 Appl. Math. Optimization 9, 337-371 (1983). MSC: 49K27 49J45 41A50 46B99 58C20 90C30 PDFBibTeX XMLCite \textit{N. Furukawa}, Appl. Math. Optim. 9, 337--371 (1983; Zbl 0518.49017) Full Text: DOI
Minami, M. Weak Pareto-optimal necessary conditions in a nondifferentiable multiobjective program on a Banach space. (English) Zbl 0502.90076 J. Optimization Theory Appl. 41, 451-461 (1983). MSC: 90C31 90C48 46B99 PDFBibTeX XMLCite \textit{M. Minami}, J. Optim. Theory Appl. 41, 451--461 (1983; Zbl 0502.90076) Full Text: DOI
Do Van Luu Necessary and sufficient conditions for the optimization problems with inequality-type constraints. (Vietnamese. English summary) Zbl 0574.49012 Tạp Chí Toán Học 10, No. 3, 8-15 (1982). MSC: 49K27 46B99 90C30 PDFBibTeX XMLCite \textit{Do Van Luu}, Tạp Chí Toán Học 10, No. 3, 8--15 (1982; Zbl 0574.49012)
Gupal, A. M.; Loskutov, V. G. Efficiency of finite-difference methods of non-differentiable optimization. (Russian. English summary) Zbl 0536.49020 Kibernetika 1982, No. 2, 114-116 (1982). Reviewer: Gh.Aniculăesei MSC: 49M25 49J27 90C25 46B99 90C52 65K05 PDFBibTeX XMLCite \textit{A. M. Gupal} and \textit{V. G. Loskutov}, Kibernetika 1982, No. 2, 114--116 (1982; Zbl 0536.49020)
Vasin, V. V. Stable discretization of extremal problems and its applications in mathematical programming. (English) Zbl 0506.90088 Math. Notes 31, 138-144 (1982). MSC: 90C48 46B99 90C30 90C31 PDFBibTeX XMLCite \textit{V. V. Vasin}, Math. Notes 31, 138--144 (1982; Zbl 0506.90088) Full Text: DOI
Nanda, Sudarsan A nonlinear complementarity problem in semi-inner-product space. (English) Zbl 0499.90072 Rend. Mat. Appl., VII. Ser. 2, 167-171 (1982). MSC: 90C33 90C48 46B99 PDFBibTeX XMLCite \textit{S. Nanda}, Rend. Mat. Appl., VII. Ser. 2, 167--171 (1982; Zbl 0499.90072)
Vasin, V. V. Stable discretization of extremal problems and its applications in mathematical programming. (Russian) Zbl 0497.90079 Mat. Zametki 31, 269-280 (1982). MSC: 90C48 90C30 90C31 46B99 PDFBibTeX XMLCite \textit{V. V. Vasin}, Mat. Zametki 31, 269--280 (1982; Zbl 0497.90079)
Loridan, P. Necessary conditions for epsilon-optimality. (English) Zbl 0494.90085 Math. Program. Study 18, 140-152 (1982). MSC: 90C48 90C31 46B99 PDFBibTeX XMLCite \textit{P. Loridan}, Math. Program. Study 18, 140--152 (1982; Zbl 0494.90085) Full Text: DOI
Penot, Jean-Paul On regularity conditions in mathematical programming. (English) Zbl 0493.90076 Math. Program. Study 19, 167-199 (1982). MSC: 90C30 49K27 90C48 57R99 46B99 PDFBibTeX XMLCite \textit{J.-P. Penot}, Math. Program. Study 19, 167--199 (1982; Zbl 0493.90076) Full Text: DOI
Pomerol, J. C. The Lagrange multiplier set and the generalized gradient set of the marginal function of a differentiable program in a Banach space. (English) Zbl 0472.90077 J. Optimization Theory Appl. 38, 307-317 (1982). MSC: 90C48 46B99 49M29 90C25 90C52 PDFBibTeX XMLCite \textit{J. C. Pomerol}, J. Optim. Theory Appl. 38, 307--317 (1982; Zbl 0472.90077) Full Text: DOI