Generalized vector variational-type inequalities

Authors:
Byung-Soo Lee;M. Firdosh Khan; Salahuddin
Affiliations:
Department of Mathematics, Kyungsung University, Busan 608-736, Republic of Korea;Department of Mathematics, Aligarh Muslim University, Aligarh-202002, India;Department of Mathematics, Aligarh Muslim University, Aligarh-202002, India
Venue:
Computers & Mathematics with Applications
Year:
2008

Citing 2
Cited 2

Vector variational inequality and its duality

Nonlinear Analysis: Theory, Methods & Applications
On Vector Variational Inequalities in Reflexive Banach Spaces

Journal of Global Optimization

Existence of solutions of generalized vector variational-type inequalities with set-valued mappings

Computers & Mathematics with Applications
On the solution semicontinuity to a parametric generalized vector quasivariational inequality

Computers & Mathematics with Applications

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Abstract

Solvabilities of generalized vector variational-type inequalities (GVVTI) are discussed in this work. First, the solvability of GVVTI without monotone assumption for mappings is considered in (reflexive) Banach spaces by using Brouwer fixed point theorem (Browder fixed point theorem). Second, the solvability of GVVTI with monotone assumption for mappings is considered in reflexive Banach spaces by using Ky Fan lemma.