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

    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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