Share This Article:

Necessary Optimality Conditions for Multi-Objective Semi-Infinite Variational Problem

Full-Text HTML XML Download Download as PDF (Size:332KB) PP. 36-43
DOI: 10.4236/ajor.2016.61006    3,788 Downloads   4,228 Views Citations

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.

Cite this paper

Sharma, B. and Kumar, P. (2016) Necessary Optimality Conditions for Multi-Objective Semi-Infinite Variational Problem. American Journal of Operations Research, 6, 36-43. doi: 10.4236/ajor.2016.61006.

Copyright © 2020 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.