http://repository.iitr.ac.in/handle/123456789/10148| Title: | Duality in nondifferentiable minimax fractional programming with B-(p, r)-invexity |
| Authors: | Ahmad I. Gupta, Shiv Kumar Kailey N. Agarwal R.P. |
| Published in: | Journal of Inequalities and Applications |
| Abstract: | In this article, we are concerned with a nondifferentiable minimax fractional programming problem. We derive the sufficient condition for an optimal solution to the problem and then establish weak, strong, and strict converse duality theorems for the problem and its dual problem under B-(p, r)-invexity assumptions. Examples are given to show that B-(p, r)-invex functions are generalization of (p, r)-invex and convex functions © 2011 Ahmad et al. |
| Citation: | Journal of Inequalities and Applications (2011), 2011(): - |
| URI: | https://doi.org/10.1186/1029-242X-2011-75 http://repository.iitr.ac.in/handle/123456789/10148 |
| Issue Date: | 2011 |
| Keywords: | B-(p, r)-invex function Duality theorems Nondifferentiable fractional programming Optimality conditions |
| ISSN: | 10255834 |
| Author Scopus IDs: | 7201878665 56121821400 26436378500 36013313700 |
| Author Affiliations: | Ahmad, I., Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia, Department of Mathematics, Aligarh Muslim University, Aligarh-202 002, India Gupta, S.K., Department of Mathematics, Indian Institute of Technology Patna, Patna-800 013, India Kailey, N., School of Mathematics and Computer Applications, Thapar University, Patiala-147 004, India Agarwal, R.P., Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia, Department of Mathematics, Texas A and M University - Kingsville, 700 University Blvd., Kingsville, TX 78363-8202, United States |
| Corresponding Author: | Ahmad, I.; Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia; email: drizhar@kfupm.edu.sa |
| Appears in Collections: | Journal Publications [MA] |
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