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Najeeb Abdulaleem



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Najeeb Abdulaleem


WSEAS Transactions on Mathematics


Print ISSN: 1109-2769
E-ISSN: 2224-2880

Volume 17, 2018

Notice: As of 2014 and for the forthcoming years, the publication frequency/periodicity of WSEAS Journals is adapted to the 'continuously updated' model. What this means is that instead of being separated into issues, new papers will be added on a continuous basis, allowing a more regular flow and shorter publication times. The papers will appear in reverse order, therefore the most recent one will be on top.


Volume 17, 2018



Wolfe E-duality for E-differentiable Vector Optimization Problems in E-invex with Inequality and Equality Constraints

AUTHORS: Najeeb Abdulaleem

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In this paper, the class of E-differentiable vector optimization problems with both inequality and equality constraints is considered. For such (not necessarily) differentiable vector optimization problems, The so-called scalar and vector Wolfe E-dual problems are defined for the considered E-differentiable multiobjective programming problem with both inequality and equality constraints and several E-dual theorems are established also under (generalized) E-invexity hypotheses.

KEYWORDS: E-invex set, E-invex function, E-differentiable function, Wolfe E-duality

REFERENCES:

[1] N. Abdulaleem: E-invexity and generalized Einvexity in E-differentiable multiobjective programming, to be published.

[2] T. Antczak, N. Abdulaleem: Optimality conditions for E-differentiable vector optimization problems with the multiple interval-valued objective function, to be published.

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[18] A. A. Megahed, H. G. Gomaa, E. A. Youness, A. Z. El-Banna, Optimality conditions of E-convex programming for an E-differentiable function, J. Inequal. Appl., 2013 (2013), 246.

[19] P. Wolfe, A duality theorem for non-linear programming, Quart. appl. math. 19 (1961), 239- 244.

[20] X. M. Yang: On E-convex sets, E-convex functions, and E-convex programming, J. Optim. Theory Appl. 109 (2001), 699-704.

[21] E. A. Youness: E-convex sets, E-convex functions, and E-convex programming, J. Optim. Theory Appl. 102 (1999), 439-450

WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 17, 2018, Art. #41, pp. 329-339


Copyright Β© 2018 Author(s) retain the copyright of this article. This article is published under the terms of the Creative Commons Attribution License 4.0

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