Abstract
AbstractIn this paper, we introduce a new concept of sets and a new class of functions called $$\alpha$$
α
-E-invex sets and V-E-preinvex functions. Furthermore, a new concept of generalized convexity is introduced for (not necessarily) differentiable vector optimization problems. Namely, the concept of V-E-type I functions is defined for E-differentiable vector optimization problem. A number of sufficiency results are established under various types of (generalized) V-E-type I requirements. Moreover, several E-duality theorems in the sense of Mond–Weir are proved under appropriate (generalized) V-E-type I functions.
Publisher
Springer Science and Business Media LLC
Subject
Management Science and Operations Research,Computer Science Applications,Information Systems,Management Information Systems
Reference29 articles.
1. Antczak, T., Abdulaleem, N.: $$E$$-optimality conditions and Wolfe $$E$$-duality for $$E$$-differentiable vector optimization problems with inequality and equality constraints. J Nonlinear Sci Appl 12, 745–764 (2018)
2. Abdulaleem, N.: $$E$$-invexity and generalized $$E$$-invexity in $$E$$-differentiable multiobjective programming. ITM Web Conf 24, 01002 (2019)
3. Abdulaleem, N.: $$V$$-$$E$$-invexity in $$E$$-differentiable multiobjective programming. Numer Algebra Control Optim 12(2), 427 (2022)
4. Abdulaleem, N.: Sufficiency and duality for $$E$$-differentiable multiobjective programming problems involving generalized $$V$$-$$E$$-invex functions. Comm. Appl. Nonlinear Anal. 4, 85–104 (2021)
5. Abdulaleem, N.: $$E$$-optimality conditions for $$E$$-differentiable $$E$$-invex multiobjective programming problems. WSEAS Trans Math 18, 14–27 (2019)
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献