Abstract
Abstract
In this paper, a new class of generalized invex functions named generalized uniform pseudoinvex (C, q) – type I, generalized uniform pseudoquasi-invex (C, q) – type I and generalized uniform quasipseudo-invex (C, q) – type I are defined by utilizing the Clarke subdifferential, where C is sublinear in the third argument. Then some sufficient optimality conditions are derived and proved for a class of nondifferentiable multiobjective programming problems involving the new generalized uniform invexity.
Subject
General Physics and Astronomy
Reference13 articles.
1. Multiobjective programming under generalized type I univexity;Hanso;J. Math. Anal. Appl.,2002
2. Optimality conditions for multiobjective fractional subset programming with (ρ,σ,θ) – type-I and related non-convex functions;Mishra;Calcolo,2012
3. Optimality and duality for nonsmooth minimax fractional programming problem with exponential (p, r) – invexity;Ho;J. Nonlinear Convex Anal.,2012
4. Sufficiency and duality in nondifferentiable multiobjective programming involving higher order strong invexity;Ahmad;Journal of Inequalities and Applicatins,2015
5. Saddle Point Criteria in Multiobjective Fractinal Programming Involving Exponential Invexity;Shun-Chin;Bull Malay Math Sci Soc,2018
Cited by
1 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