Sufficient optimality conditions and duality theorems for set-valued optimization problem under generalized cone convexity

DOI10.1007/s12215-014-0163-9zbMath1311.49039OpenAlexW2052115890MaRDI QIDQ2255125

Koushik Das, Chandal Nahak

Publication date: 6 February 2015

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-014-0163-9

zbMATH Keywords

invexityKarush-Kuhn-Tucker optimality conditionscontingent epiderivativeduality resultsset-valued optimization problemsgeneralized cone convexity

Mathematics Subject Classification ID

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 (9)

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 ⋮ Approximate quasi efficiency of set-valued optimization problems via weak subdifferential ⋮ Set-valued minimax programming problems under generalized cone convexity ⋮ Unnamed Item ⋮ Set-valued optimization problems via second-order contingent epiderivative ⋮ Optimality conditions for set-valued minimax fractional programming problems ⋮ Approximate solutions for nonconvex set-valued optimization and vector variational inequality

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