\(\mathbb{T}\)-epiderivatives of set-valued maps and its application to set optimization and generalized variational inequalities

DOI10.11650/TWJM/1500406084zbMath1241.90131OpenAlexW4236957384MaRDI QIDQ536474

Qamrul Hasan Ansari, Johannes Jahn

Publication date: 18 May 2011

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/twjm/1500406084

zbMATH Keywords

optimality conditionsexistence resultscontingent epiderivativeradial epiderivative\(\mathbb{T}\)-cone\(\mathbb{T}\)-epiderivative\(S\)-epiderivativegeneralized vector \(\mathbb{T}\)-variational inequality problems

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Multi-objective and goal programming (90C29) Variational inequalities (49J40) Programming in abstract spaces (90C48)

Related Items (4)

Generic stability of the solution mapping for set-valued optimization problems ⋮ Globally proper efficiency of set-valued optimization and vector variational inequality involving the generalized contingent epiderivative ⋮ Optimality conditions of the set-valued optimization problem with generalized cone convex set-valued maps characterized by contingent epiderivative ⋮ Approximate solutions for nonconvex set-valued optimization and vector variational inequality

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