Second And Higher Order Duality Of Variational Problems In General Banach Spaces

Keywords

Duality theorems; Higher order duality; Mangasarian; Mond-weir type duality; Second; Variational problems; Ρ − (ηΘ)− invexity

Abstract

In this paper second and higher order duality for the variational problems are introduced in general Banach spaces. Different forms of duality such as Mangasarian and Mond-Weir types of duality are also studied. Mond-Weir type duality is taken into consideration to weaken the ρ − (η, θ)− invexity requirements. Many other duality results (weak, strong and converse) are established under generalized ρ − (η, θ)− invexity assumptions.

Publication Date

1-1-2018

Publication Title

Panamerican Mathematical Journal

Volume

28

Issue

1

Number of Pages

1-18

Document Type

Article

Personal Identifier

scopus

Socpus ID

85041903212 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/85041903212

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