Title

Second And Higher Order Duality In Banach Space Under Ρ-(Η,Θ)-Invexity

Keywords

ρ-(η,θ)-invexity; Converse duality; Second and higher order duality; Strong duality; Weak duality

Abstract

In this paper, we introduce the concept of second and higher order duality in Banach space using ρ-(η,θ)-invexity type conditions. Duality theorems for Mangasarian type, Mond-Weir type are established under weaker conditions. We also give counter examples to justify our work. © 2010 Elsevier Ltd.

Publication Date

8-1-2011

Publication Title

Nonlinear Analysis: Hybrid Systems

Volume

5

Issue

3

Number of Pages

457-466

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/j.nahs.2010.10.004

Socpus ID

79959902061 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/79959902061

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