\(D\)-invexity and optimality conditions
From MaRDI portal
Publication:1192769
DOI10.1016/0022-247X(91)90190-BzbMath0755.90074OpenAlexW1971319936MaRDI QIDQ1192769
Publication date: 27 September 1992
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-247x(91)90190-b
Multi-objective and goal programming (90C29) Nonlinear programming (90C30) Nonsmooth analysis (49J52) Convexity of real functions of several variables, generalizations (26B25)
Related Items (28)
Some nondifferentiable multiobjective programming problems ⋮ Nonsmooth multiobjective optimization involving generalized univex functions ⋮ Nondifferentiable multiobjective programming under generalized \(d\)-univexity ⋮ New optimality conditions for a nondifferentiable fractional semipreinvex programming problem ⋮ Optimality conditions for multiple objective fractional subset programming with \(({\mathcal F},\alpha,\rho,\theta)\)-V-type-I and related non-convex functions ⋮ Duality for multiple objective fractional subset programming with generalized \((\Gamma\mkern-15mu-,\rho,\sigma,\theta)\)-V-Type-I functions ⋮ Generalized univex functions in nonsmooth multiobjective optimization ⋮ On optimality and duality for multiobjective programming problems involving generalized \(d\)-type-I and related \(n\)-set functions. ⋮ On directionally differentiable multiobjective programming problems with vanishing constraints ⋮ Duality and a characterization of pseudoinvexity for Pareto and weak Pareto solutions in nondifferentiable multiobjective programming ⋮ Generalized \((d - \rho - \eta - \theta )\)-type I univex functions in multiobjective optimization ⋮ Sufficiency and duality in nonsmooth multiobjective programming problem under generalized univex functions ⋮ Mixed type duality for nondifferentiable multiobjective fractional programming under generalized \((d,\rho, \eta, \theta)\)-type 1 univex function ⋮ Nonsmooth invex functions and sufficient optimality conditions ⋮ Sufficient optimality conditions and duality theorems for set-valued optimization problem under generalized cone convexity ⋮ Optimality conditions for multiple objective fractional subset programming with \((\rho,\sigma,\theta )\)-type-I and related non-convex functions ⋮ Multiobjective fractional programming involving generalized semilocally V-type I-preinvex and related functions ⋮ Duality in nondifferentiable vector programming ⋮ Optimality and duality for a multi-objective programming problem involving generalized \(d\)-type-I and related \(n\)-set functions ⋮ SUFFICIENT OPTIMALITY CONDITIONS AND DUALITY IN MULTIOBJECTIVE OPTIMIZATION INVOLVING GENERALIZED CONVEXITY ⋮ Multiobjective programming under \(d\)-invexity ⋮ Optimality conditions and duality for nondifferentiable multiobjective programming problems involving \(d\)-\(r\)-type I functions ⋮ \(d-\rho -(\eta ,\theta )\)-invexity in multiobjective optimization ⋮ Sufficiency and duality for nonsmooth multiobjective programming problems involving generalized univex functions ⋮ Various types of nonsmooth invex functions ⋮ Nondifferentiable multiobjective programming under generalized \(d_I\)-invexity ⋮ Saddle point criteria and Wolfe duality in nonsmooth (Φ, ρ)-invex vector optimization problems with inequality and equality constraints ⋮ Multiobjective programming under \((\varphi,d)\)-V-type I univexity
Cites Work
This page was built for publication: \(D\)-invexity and optimality conditions