Found 38 Documents (Results 1–38)
Interval valued vector variational inequalities and vector optimization problems via convexificators. (English) Zbl 07843630
A note on characterization of (weakly/properly/robust) efficient solutions in nonsmooth semi-infinite multiobjective optimization using convexificators. (English) Zbl 1522.90179
Optimality, duality and saddle point criteria for a robust fractional interval-valued optimization problem with uncertain inequality constraints via convexificators. (English) Zbl 07739629
Optimality conditions and saddle point criteria for fractional interval-valued optimization problem via convexificator. (English) Zbl 1538.90169
Duality for fractional interval-valued optimization problem via convexificator. (English) Zbl 07702319
MSC:
90Bxx
Optimality conditions for mathematical programs with equilibrium constraints using directional convexificators. (English) Zbl 1528.90198
Reviewer: Samir Kumar Neogy (New Delhi)
Sufficient optimality conditions and Mond-Weir duality results for a fractional multiobjective optimization problem. (English) Zbl 1524.90280
Necessary optimality conditions for robust nonsmooth multiobjective optimization problems. (English) Zbl 1516.90082
A study on vector variational-like inequalities using convexificators and application to its bi-level form. (English) Zbl 1513.90230
Exactness of the absolute value exact penalty function method for optimization problems via upper convexificators. (English) Zbl 1513.90173
Approximate optimality for quasi approximate solutions in nonsmooth semi-infinite programming problems, using \(\varepsilon\)-upper semi-regular semi-convexificators. (English) Zbl 1499.90259
Optimality conditions for multiobjective fractional programming, via convexificators. (English) Zbl 1449.90333
Sufficient optimality conditions and duality results for a bilevel multiobjective optimization problem via a \(\Psi\) reformulation. (English) Zbl 1433.90151
On nonsmooth multiobjective semidefinite programs and vector variational inequalities using convexificators. (English) Zbl 1522.90181
Kimura, Yasunori (ed.) et al., Proceedings of the 11th international conference on nonlinear analysis and convex analysis (NACA 2019) and the International conference on optimization: techniques and applications (ICOTA), Hokodate, Japan, August 26–31, 2019. Part I. Yokohama: Yokohama Publishers. 351-370 (2019).
Constraint qualifications and optimality conditions in nonsmooth locally star-shaped optimization using convexificators. (English) Zbl 1454.90060
Optimality conditions for a bilevel optimization problem in terms of KKT multipliers and convexificators. (English) Zbl 1469.90139
Reviewer: Alfred Göpfert (Leipzig)
Optimality conditions for \(\epsilon \)-quasi solutions of optimization problems via \(\epsilon \)-upper convexificators with applications. (English) Zbl 1436.90150
Reviewer: Efstratios Rappos (Aubonne)
Multiobjective problems: enhanced necessary conditions and new constraint qualifications through convexificators. (English) Zbl 1390.49027
Characterization of (weakly/properly/robust) efficient solutions in nonsmooth semi-infinite multiobjective optimization using convexificators. (English) Zbl 1421.90135
Reviewer: Armin Hoffmann (Ilmenau)
Sensitivity analysis of the value function for nonsmooth optimization problems. (English) Zbl 1409.90194
Convexificators and boundedness of the Kuhn-Tucker multipliers set. (English) Zbl 1429.90073
Reviewer: Jan-Joachim Rückmann (Bergen)
Relationships between convexificators and Greenberg-Pierskalla subdifferentials for quasiconvex functions. (English) Zbl 1383.49023
Optimality conditions in optimization problems with convex feasible set using convexificators. (English) Zbl 1407.90253
Reviewer: Regina Sandra Burachik (Adelaide)
Boundedness of the strong KKT multipliers for proper and isolated efficiencies in nonsmooth multiobjective optimization. (English) Zbl 1389.90275
Convexificators and strong Karush-Kuhn-Tucker conditions for nonsmooth multiobjective optimization problems. (English) Zbl 1353.49021
Optimality conditions for nonsmooth mathematical programs with equilibrium constraints, using convexificators. (English) Zbl 1332.90270
Necessary and sufficient optimality conditions for fractional multi-objective problems. (English) Zbl 1176.90537
Reviewer: Fabián Flores-Bazan (Concepción)
Necessary optimality conditions for bilevel optimization problems using convexificators. (English) Zbl 1090.49021
Convexifactors, generalized convexity, and optimality conditions. (English) Zbl 1172.90500
J. Optim. Theory Appl. 113, No. 1, 41-64 (2002); correction ibid. 197, No. 1, 383-385 (2023).
Reviewer: Dinh The Luc (Avignon)
Minimal convexificators of a positively homogeneous function and a characterization of its convexity and concavity. (English) Zbl 1138.90449
Di Pillo, Gianni (ed.) et al., Nonlinear optimization and related topics. Workshop, Erice, Sicily, Italy, June 23–July 2, 1998. Dordrecht: Kluwer Academic Publishers (ISBN 0-7923-6109-1/hbk). Appl. Optim. 36, 51-65 (2000).
Reviewer: Alberto Seeger (Avignon)
MSC:
90C26
Convex approximators, convexificators and exhausters: applications to constrained extremum problems. (English) Zbl 1016.90054
Demyanov, V. (ed.) et al., Quasidifferentiability and related topics. Dedicated to Prof. Franco Giannessi on his 65th birthday and to Prof. Diethard Pallaschke on his 60th birthday. Dordrecht: Kluwer Academic Publishers. Nonconvex Optim. Appl. 43, 297-327 (2000).
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