Optimality conditions for approximate quasi efficiency in set-valued equilibrium problems

DOI10.1007/s40324-016-0063-3zbMath1345.49028OpenAlexW2294394507MaRDI QIDQ2629355

Chandal Nahak, Koushik Das

Publication date: 6 July 2016

Published in: S\(\vec{\text{e}}\)MA Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40324-016-0063-3

zbMATH Keywords

optimality conditionsweakly efficient solutionset-valued vector equilibrium problemscontingent epiderivativeproperly efficient solution

Mathematics Subject Classification ID

Variational inequalities (49J40) Set-valued and variational analysis (49J53) Duality theory (optimization) (49N15) Convexity of real functions of several variables, generalizations (26B25) Optimality conditions for problems involving relations other than differential equations (49K21)

Related Items (8)

Using \(\rho \)-cone arcwise connectedness on parametric set-valued optimization problems ⋮ PARAMETRIC SET-VALUED OPTIMIZATION PROBLEMS UNDER GENERALIZED CONE CONVEXITY ⋮ On constrained set-valued optimization problems with \(\rho\)-cone arcwise connectedness ⋮ Scalarization and Optimality Conditions of E-Globally Proper Efficient Solution for Set-Valued Equilibrium Problems ⋮ Approximate quasi efficiency of set-valued optimization problems via weak subdifferential ⋮ Optimality conditions and scalarization of approximate quasi weak efficient solutions for vector equilibrium problem ⋮ Unnamed Item ⋮ Set-valued optimization problems via second-order contingent epiderivative

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