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Necessary Optimality Conditions for Multi-Objective Semi-Infinite Variational Problem
Department of Mathematics, University of Delhi, New Delhi, India
Department of Mathematics, Gargi College, University of Delhi, New Delhi, India
- 1 Department of Mathematics, University of Delhi, New Delhi, India
- 2 Department of Mathematics, Gargi College, University of Delhi, New Delhi, India
American Journal of Operations Research·Volume 06 (2016)·Pages 36–43·Published 11 January 2016·DOI10.4236/ajor.2016.61006
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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.
KeywordsSemi-InfiniteVariational ProblemEfficient SolutionNecessary Optimality Conditions
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