Optimality for Multi-Objective Programming Involving Arcwise Connected d-Type-I Functions
Open Access
- 1 January 2011
- journal article
- Published by Scientific Research Publishing, Inc. in American Journal of Operations Research
- Vol. 01 (04), 243-248
- https://doi.org/10.4236/ajor.2011.14028
Abstract
This paper deals with the optimality conditions and dual theory of multi-objective programming problems involving generalized convexity. New classes of generalized type-I functions are introduced for arcwise connected functions, and examples are given to show the existence of these functions. By utilizing the new concepts, several sufficient optimality conditions and Mond-Weir type duality results are proposed for non-differentiable multi-objective programming problemKeywords
This publication has 1 reference indexed in Scilit:
- Optimality Conditions and Duality for Fractional Programming Problems Involving Arcwise Connected Functions and Their GeneralizationsJournal of Mathematical Analysis and Applications, 2001