New optimality conditions and duality results of \(G\) type in differentiable mathematical programming

From MaRDI portal
Publication:875269

DOI10.1016/j.na.2006.02.013zbMath1143.90034OpenAlexW1975517593MaRDI QIDQ875269

Tadeusz Antczak

Publication date: 13 April 2007

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2006.02.013




Related Items (32)

Optimality and duality for nonsmooth multiobjective programming using G-type I functionsGeneralized minimax programming with nondifferentiable \((G, \beta)\)-invexityOn vector variational-like inequalities and vector optimization problems with \(\left ({G,\alpha} \right)\)-invexity\(G\)-semipreinvexity and its applicationsOn the strictly \(G\)-preinvex functionNondifferentiable mathematical programming involving \((G,{\beta})\)-invexityA note on \(G\)-preinvex functionsSecond-order multiobjective programming problems and symmetric duality relations with \(G_{f}\)-bonvexityOn geodesic \(E\)-convex sets, geodesic \(E\)-convex functions and \(E\)-epigraphsThe exact \(G\)-penalty function method and \(G\)-invex mathematical programming problemsOn efficient applications of \(G\)-Karush-Kuhn-Tucker necessary optimality theorems to multiobjective programming problemsOn semi-\((B, G)\)-preinvex functionsRayna's fractional integral operations on Hermite-Hadamard inequalities with \(\eta\)-\(G\)-preinvex functionsMultiobjective program with support functions under \((G,C,\rho)\)-convexity assumptionsOptimization methods for box-constrained nonlinear programming problems based on linear transformation and Lagrange interpolating polynomialsA new characterization of (weak) Pareto optimality for differentiable vector optimization problems with \(G\)-invex functionsA critical view on invexity\(G\)-pre-invex functions in mathematical programmingG-saddle point criteria andG-Wolfe duality in differentiate mathematical programmingSaddle point criteria in semi-infinite minimax fractional programming under (Φ,ρ)-invexityOn the relationships between \(G\)-preinvex functions and semistrictly \(G\)-preinvex functionsNonsmooth minimax programming under locally Lipschitz \((\Phi , \rho )\)-invexityUnnamed ItemMultiobjective programming problems with \((G,C,\rho)\)-convexityMultiobjective fractional symmetric duality in mathematical programming with \((C,G_f)\)-invexity assumptionsOn \(G\)-invex multiobjective programming. II: DualityOn \(G\)-invex multiobjective programming. I: OptimalityOptimality conditions for interval-valued univex programmingNew class of \(G\)-Wolfe-type symmetric duality model and duality relations under \(G_f\)-bonvexity over arbitrary conesSymmetric duality results for second-order nondifferentiable multiobjective programming problemFritz John type optimality and duality in nonlinear programming under weak pseudo-invexitySufficient optimality criteria and duality for multiobjective variational control problems with \(G\)-type I objective and constraint functions



Cites Work


This page was built for publication: New optimality conditions and duality results of \(G\) type in differentiable mathematical programming