Mixed variational-like inequality for fuzzy mappings in reflexive banach spaces

Journal article

Authors/Editors

POOM KUMAM

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Publication Details

Author list: Petrot N., Kumam P.

Publisher: SpringerOpen

Publication year: 2009

Journal: Journal of Inequalities and Applications (1025-5834)

Volume number: 2009

ISSN: 1025-5834

eISSN: 1029-242X

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-70349196164&doi=10.1155%2f2009%2f209485&partnerID=40&md5=f584f763dc156b900dec030fe7ec9d68

Languages: English-Great Britain (EN-GB)

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Abstract

Some existence theorems for the mixed variational-like inequality for fuzzy mappings (FMVLIP) in a reflexive Banach space are established. Further, the auxiliary principle technique is used to suggest a novel and innovative iterative algorithm for computing the approximate solution. Consequently, not only the existence of solutions of the FMVLIP is shown, but also the convergence of iterative sequences generated by the algorithm is also proven. The results proved in this paper represent an improvement of previously known results. ฉ 2009 P. Kumam and N. Petrot.

Keywords