TITLE:
Necessary Optimality Conditions for Multi-Objective Semi-Infinite Variational Problem
AUTHORS:
Bharti Sharma, Promila Kumar
KEYWORDS:
Semi-Infinite, Variational Problem, Efficient Solution, Necessary Optimality Conditions
JOURNAL NAME:
American Journal of Operations Research,
Vol.6 No.1,
January
22,
2016
ABSTRACT: In this paper, necessary optimality conditions for a class of Semi-infinite Variational Problems are established which are further generalized to a class of Multi-objective Semi-Infinite Variational Problems. These conditions are responsible for the development of duality theory which is an extremely important feature for any class of problems, but the literature available so far lacks these necessary optimality conditions for the stated problem. A lemma is also proved to find the topological dual of as it is required to prove the desired result.