On Variational Control Problems In Banach Spaces

Keywords

Convexity; Duality theorems; Higher order duality; Mangasarian; Mond-weir type duality; Second; Variational control problems

Abstract

Second and higher order dualities for the variational control problems are introduced in general Banach spaces. Different forms of duality such as Mangasarian and Mond-Weir types are studied. Mond-Weir type duality is taken into consideration to weaken the convexity requirements. Many duality results (weak, strong and converse) are established under generalized convexity assumptions.

Publication Date

4-1-2018

Publication Title

Panamerican Mathematical Journal

Volume

28

Issue

2

Number of Pages

21-37

Document Type

Article

Personal Identifier

scopus

Socpus ID

85045944919 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/85045944919

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