Abstract
This paper is devoted to study interval-valued optimization problems. Sufficient optimality conditions are established for LU optimal solution concept under generalized (p, r) - ρ - (η, θ)-invexity. Weak, strong and strict converse duality theorems for Wolfe and Mond-Weir type duals are derived in order to relate the LU optimal solutions of primal and dual problems.
| Original language | English |
|---|---|
| Article number | 313 |
| Journal | Journal of Inequalities and Applications |
| Volume | 2013 |
| DOIs | |
| State | Published - Dec 2013 |
Bibliographical note
Funding Information:Izhar Ahmad thanks the King Fahd University of Petroleum and Minerals, Dhahran-31261, Saudi Arabia for the support under the Internal Project No. IN111037. The authors wish to thank the referees for their several valuable suggestions which have considerably improved the presentation of this article.
Keywords
- (p r) - ρ - (η θ)-invexity
- Duality
- Interval-valued functions
- LU-optimal
- Nonlinear programming
- Sufficiency
ASJC Scopus subject areas
- Analysis
- Discrete Mathematics and Combinatorics
- Applied Mathematics
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