SECOND-ORDER UNIVEX FUNCTIONS AND GENERALIZED DUALITY MODELS FOR MULTIOBJECTIVE PROGRAMMING PROBLEMS CONTAINING ARBITRARY NORMS

- Journal title : Journal of the Korean Mathematical Society
- Volume 50, Issue 4, 2013, pp.727-753
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/JKMS.2013.50.4.727

Title & Authors

SECOND-ORDER UNIVEX FUNCTIONS AND GENERALIZED DUALITY MODELS FOR MULTIOBJECTIVE PROGRAMMING PROBLEMS CONTAINING ARBITRARY NORMS

Zalmai, G.J.;

Zalmai, G.J.;

Abstract

In this paper, we introduce three new broad classes of second-order generalized convex functions, namely, (, , , , )-sounivex functions, (, , , , )-pseudosounivex functions, and (, , , , )-quasisounivex functions; formulate eight general second-order duality models; and prove appropriate duality theorems under various generalized (, , , , )-sounivexity assumptions for a multiobjective programming problem containing arbitrary norms.

Keywords

multiobjective programming;generalized (, b, , , )-sounivex functions;arbitrary norms;dual problems;duality theorems;

Language

English

Cited by

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