A viscosity method for solving a general system of finite variational inequalities for finite accretive operators

Conference proceedings article

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Publication Details

Author list: Katchang P., Plubtieng S., Kumam P.

Publication year: 2013

Volume number: 2203

Start page: 1076

End page: 1081

Number of pages: 6

ISBN: 9789881925268

ISSN: 2078-0958

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84880050254&partnerID=40&md5=75ebc67b153cd75a09079b750492c9a1

Languages: English-Great Britain (EN-GB)

Abstract

In this paper, we prove a strong convergence theorem for finding a common solution of a general system of finite variational inequalities for finite different inverse-strongly accretive operators and solutions of fixed point problems for a nonexpansive mapping in a Banach space by using the weak contraction. Moreover, the above results are applied to find the solutions of zeros of accretive operators and the class of k- strictly pseudocontractive mappings. Our results are extended and improved of some authors ' recent results of the literature works in involving this field.

Keywords

Fixed point, General system of finite variational inequalities, Inverse-strongly accretive operator, Sunny nonexpansive retraction, Weak contraction