Author:
Lai K. K.,Mishra S. K.,Hassan Mohd,Bisht Jaya,Maurya J. K.
Abstract
AbstractThis paper deals with the study of interval-valued semiinfinite optimization problems with equilibrium constraints (ISOPEC) using convexificators. First, we formulate Wolfe-type dual problem for (ISOPEC) and establish duality results between the (ISOPEC) and the corresponding Wolfe-type dual under the assumption of $\partial ^{*} $
∂
∗
-convexity. Second, we formulate Mond–Weir-type dual problem and propose duality results between the (ISOPEC) and the corresponding Mond–Weir-type dual under the assumption of $\partial ^{*} $
∂
∗
-convexity, $\partial ^{*} $
∂
∗
-pseudoconvexity, and $\partial ^{*} $
∂
∗
-quasiconvexity.
Funder
Banaras Hindu University
University Grants Commission
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
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