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Generalized vector variational-type inequalities
Journal article   Open access  Peer reviewed

Generalized vector variational-type inequalities

Byung-Soo Lee, M. Firdosh Khan and Salahuddin
Computers & mathematics with applications (1987), Vol.55(6), pp.1164-1169
01/03/2008
DOI: https://doi.org/10.1016/j.camwa.2007.04.045

Abstract

Brouwer fixed point theorem Ky Fan lemma Pseudomonotonicity Vector variational-type inequality
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.
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https://doi.org/10.1016/j.camwa.2007.04.045View
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