Convergence theorem for class T mappings in hilbert spaces

Conference proceedings article

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Publication Details

Author list: Witthayarat U., Kumam P.

Publication year: 2013

Volume number: 2203

Start page: 1173

End page: 1178

Number of pages: 6

ISBN: 9789881925268

ISSN: 2078-0958

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84880071946&partnerID=40&md5=82b490a47ad29669238142d46b9b5056

Languages: English-Great Britain (EN-GB)

Abstract

In this study, we would like to propose the iterative algorithm for solving the equilibrium problem and fixed point problem for the class T mappings which contain various kind of operators that are found in many problems in applied mathematics and other fields. We prove that the sequence xn which is generated by the proposed iterative algorithm converges strongly to a common element of these two sets. Furthermore, we give a numerical example which supports our main theorem in the last part. Our result extended and improve the existing result of Qiao-Li Dong and Songnian He and many others.

Keywords

Class T- mapping, Equilibrium problem, Fixed point problems