Variational problems and its duality in banach spaces. Issue 4 (3rd July 2016)

• Record Type: Journal Article
• Authors: Kumar Padhan, Saroj; Kumar Bhurjee, Ajay; Kumar Behera, Pramod
• Is Part Of: Journal of information & optimization sciences. Volume 37:Issue 4(2016)
• Page Start: 591
• Page End: 604
• Publication Date: 2016-07-03
• Subjects: Duality of the variational problems -- Convexity -- Mangasarian and Mond-Weir type duality -- Duality results; 65K05 -- 65K10 -- 65K99 -- 32A70; Electronic data processing -- Periodicals; Information science -- Periodicals; Mathematical optimization -- Periodicals; 519.6
• DOI: 10.1080/02522667.2015.1117215
• Languages: English
• ISSNs: 0252-2667

Abstract

Abstract: The concept of duality for the variational problems is introduced in general Banach spaces. Different forms of duality such as Mangasarian and Mond-Weir type are studied. Mond-Weir type duality is considered to weaken the convexity requirements. Many duality (weak, strong and converse) results are established under generalized convexity assumptions. Again, examples and counterexamples are discussed in support of the investigation.