Nonsmooth minimax fractional programming involving η-pseudolinear functions

Abstract

This article deals with the necessary and sufficient optimality conditions for a class of nonsmooth minimax fractional programming problems with locally Lipschitz η-pseudolinear functions. Utilizing these optimality criteria, we formulate two types of dual models and establish weak and strong duality results. The results of this article extend several known results from the literature to a wider class of optimization problems.

Keywords:

• fractional minimax programming
• locally Lipschitz functions
• η-pseudolinear functions

AMS Subject Classifications::

• 90C25
• 90C32
• 90C46
• 90C47

Acknowledgements

The authors are grateful to the referees for their valuable suggestions that helped to improve this article in its present form. B.B. Upadhyay is supported by the Council of Scientific and Industrial Research, New Delhi, India, through Grant No. 09/013(0357)/2011-EMR-I.