OPTIMALITY AND DUALITY FOR SET-VALUED FRACTIONAL PROGRAMMING INVOLVING GENERALIZED CONE INVEXITY

Authors

  • SUNILA SHARMA University of Delhi, Delhi
  • MAMTA CHAUDHARY University of Delhi, Delhi

Keywords:

Convex cone, set-valued map, optimality conditions, contingent epiderivative, duality

Abstract

In this paper, a new class of generalized preinvex set-valued maps is introduced and its characterization in terms of their contingent epi-derivatives is obtained. Then we derive necessary and sufficient optimality conditions for a set-valued fractional programming problem using generalized cone invexity. Wolfe and Mond Weir type duals are formulated and various duality results are established.

Author Biographies

SUNILA SHARMA, University of Delhi, Delhi

Sunila Sharma is working as Associate Professor in Miranda House, university of Delhi, Delhi. Her area of interest includes vector optimization and generalized convexity.

MAMTA CHAUDHARY, University of Delhi, Delhi

Mamta Chaudhary is working as Associate Professor in Satyawati College, university of Delhi, Delhi. Currently,
she is perusing her Ph.D. in Mathematics. Her area of interest include vector optimization??and generalized convexity.

Additional Files

Published

03/31/2019

Issue

Vol. 10 No. 1 (2019): JNAO

Section

Research Articles

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Copyright (c) 2010 Journal of Nonlinear Analysis and Optimization: Theory & Applications

Creative Commons License

This work is licensed under aย Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.