Advances in Operations Research
Volume 2012 (2012), Article ID 175176, 11 pages
Research Article

Generalized Differentiable -Invex Functions and Their Applications in Optimization

Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur 721302, India

Received 9 December 2011; Accepted 4 September 2012

Academic Editor: Chandal Nahak

Copyright © 2012 S. Jaiswal and G. Panda. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The concept of -convex function and its generalizations is studied with differentiability assumption. Generalized differentiable -convexity and generalized differentiable -invexity are used to derive the existence of optimal solution of a general optimization problem.