Zai-Yun Peng, Chun-Yan Deng, Yong Zhao, Jian-Yi Peng, Optimality conditions and duality for E-differentiable fractional multiobjective interval valued optimization problems with E-invexity

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DOI: 10.23952/asvao.6.2024.3.04
Volume 6, Issue 3, 1 December 2024, Pages 295-307

Abstract. In this paper, a class of fractional multiobjective interval valued optimization problems with E-invexity is considered. First, the definition of the E-invex fractional interval value function is given under the interval order relation, and the existence of these fractional interval-valued functions is verified by examples. Second, we present the E-KKT necessary optimality conditions and the sufficient optimality conditions for a fractional interval-valued optimization problem $\text{(FIVP}_\text{E})$ under E-invexity. Last, the Mond-Weir E-dual problem $\text{(DFIVP}_\text{E})$ of $\text{(FIVP}_\text{E})$ is established, and several E-duality theorems are obtained under E-invexity. To some extent, this paper generalizes the existing relevant results obtained recently.

How to Cite this Article:
Z.Y. Peng, C.Y. Deng, Y. Zhao, J.Y. Peng, Optimality conditions and duality for E-differentiable fractional multiobjective interval valued optimization problems with E-invexity, Appl. Set-Valued Anal. Optim. 6 (2024), 295-307.