Title

Second and higher order duality in Banach space under rho - (eta, theta)-invexity

Authors

Authors

S. K. Padhan; C. Nahak;R. N. Mohapatra

Comments

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Abbreviated Journal Title

Nonlinear Anal.-Hybrid Syst.

Keywords

Second and higher order duality; rho - (eta, theta)-invexity; Weak; duality; Strong duality; Converse duality; SUFFICIENCY; 2ND-ORDER; Automation & Control Systems; Mathematics, Applied

Abstract

In this paper, we introduce the concept of second and higher order duality in Banach space using rho - (eta,theta)-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. (C) 2010 Elsevier Ltd. All rights reserved.

Journal Title

Nonlinear Analysis-Hybrid Systems

Volume

5

Issue/Number

3

Publication Date

1-1-2011

Document Type

Article

Language

English

First Page

457

Last Page

466

WOS Identifier

WOS:000302581700008

ISSN

1751-570X

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