Vector F -implicit complementarity problems with corresponding variational inequality problems

B.S. Lee; M. Firdosh Khan; Salahuddin

doi:10.1016/j.aml.2006.05.010

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Vector F -implicit complementarity problems with corresponding variational inequality problems

Journal article

Peer reviewed

Vector F -implicit complementarity problems with corresponding variational inequality problems

B.S. Lee, M. Firdosh Khan and Salahuddin

Applied mathematics letters, Vol.20(4), pp.433-438

01/04/2007

DOI: https://doi.org/10.1016/j.aml.2006.05.010

Abstract

Fan–KKM theorem

KKM-mapping

Pointed cone

Vector [formula omitted]-implicit complementarity problems

Vector [formula omitted]-implicit variational inequality problems

In this work, we present some new existence theorems for solutions for a new class of generalized vector F -implicit complementarity problems and the corresponding generalized vector F -implicit variational inequality problems by using the Fan–KKM Theorem under some suitable assumptions without monotonicity, and establish the equivalence between those problems in Banach spaces.

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Title: Vector F -implicit complementarity problems with corresponding variational inequality problems
Creators - without role: B.S. Lee - Kyungsung University
M. Firdosh Khan - Aligarh Muslim University
Salahuddin - Aligarh Muslim University
Publication Details: Applied mathematics letters, Vol.20(4), pp.433-438
Publisher: Elsevier Ltd
Identifiers: 9917438508331
Academic Unit: Jazan University
Language: English
Resource Type: Journal article