EQUILIBRIUM CONSTRAINED VECTOR OPTIMIZATION PROBLEMS

Suliman Saleh Al-Homidan; Qamrul Hasan Ansari

EQUILIBRIUM CONSTRAINED VECTOR OPTIMIZATION PROBLEMS

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we consider equilibrium constrained vector optimization problems which include several known bilevel programs, namely, mathematical programs with vector optimization constrained, mathematical programs with vector variational inequality constrained, etc. We give some existence results for solutions of these problems with or without C-diagonal convexity assumption. The results of this paper extend several known results in the literature.

Original language	English
Journal	Journal of Nonlinear and Convex Analysis
State	Published - 2016

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title = "EQUILIBRIUM CONSTRAINED VECTOR OPTIMIZATION PROBLEMS",

abstract = "In this paper, we consider equilibrium constrained vector optimization problems which include several known bilevel programs, namely, mathematical programs with vector optimization constrained, mathematical programs with vector variational inequality constrained, etc. We give some existence results for solutions of these problems with or without C-diagonal convexity assumption. The results of this paper extend several known results in the literature.",

author = "Al-Homidan, \{Suliman Saleh\} and Ansari, \{Qamrul Hasan\}",

year = "2016",

language = "English",

}

TY - JOUR

T1 - EQUILIBRIUM CONSTRAINED VECTOR OPTIMIZATION PROBLEMS

AU - Al-Homidan, Suliman Saleh

AU - Ansari, Qamrul Hasan

PY - 2016

Y1 - 2016

N2 - In this paper, we consider equilibrium constrained vector optimization problems which include several known bilevel programs, namely, mathematical programs with vector optimization constrained, mathematical programs with vector variational inequality constrained, etc. We give some existence results for solutions of these problems with or without C-diagonal convexity assumption. The results of this paper extend several known results in the literature.

AB - In this paper, we consider equilibrium constrained vector optimization problems which include several known bilevel programs, namely, mathematical programs with vector optimization constrained, mathematical programs with vector variational inequality constrained, etc. We give some existence results for solutions of these problems with or without C-diagonal convexity assumption. The results of this paper extend several known results in the literature.

M3 - Article

SN - 1345-4773

JO - Journal of Nonlinear and Convex Analysis

JF - Journal of Nonlinear and Convex Analysis

ER -

EQUILIBRIUM CONSTRAINED VECTOR OPTIMIZATION PROBLEMS

Abstract

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