ITM Web Conf.
Volume 24, 2019AMCSE 2018 - International Conference on Applied Mathematics, Computational Science and Systems Engineering
|Number of page(s)
|01 February 2019
E-invexity and generalized E-invexity in E-differentiable multiobjective programming
Department of Mathematics, Hadhramout University, Mukalla -P.O. BOX : (50511-50512), Yemen
* e-mail: email@example.com
In this paper, a new concept of generalized convexity is introduced for not necessarily diﬀerentiable vector optimization problems. For an E-diﬀerentiable function, the concept of E-invexity is introduced as a generalization of the E-diﬀerentiable E-convexity notion. In addition, some properties of E-diﬀerentiable E-invex functions are investigated. Furthermore, the so-called E-Karush-Kuhn-Tucker necessary optimality conditions are established for the considered E-diﬀerentiable vector optimization problems with both inequality and equality constraints. Also, the suﬃciency of the E-Karush-Kuhn-Tucker necessary optimality conditions are proved for such E-diﬀerentiable vector optimization problems in which the involved functions are E-invex and/or generalized E-invex.
Key words: E-invex set / E-invex function / E-diﬀerentiable function / E-Karush-Kuhn-Tucker necessary optimality conditions
Key words: 90C26 / 90C30 / 90C46 / 90C47
© The Authors, published by EDP Sciences, 2019
This is an open access article distributed under the terms of the Creative Commons Attribution License 4.0 (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.