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Author:

Wu, Huan-chun (Wu, Huan-chun.) | Cheng, Cao-zong (Cheng, Cao-zong.)

Indexed by:

Scopus SCIE

Abstract:

We obtain the modified Halpern-type iterative method for finding a common element of the fixed point set of a relatively nonexpansive mapping and the zero set of a maximal monotone operator in a uniformly convex and uniformly smooth Banach space. Our results extend and improve the recent results of Chuang, Lin and Takahashi (J. Glob. Optim. 56: 1591-1601, 2013) and Nilsrakoo and Saejung (Appl. Math. Comput. 217: 6577-6586, 2011).

Keyword:

maximal monotone operator Halpern-type iterative method relatively nonexpansive mapping

Author Community:

  • [ 1 ] [Wu, Huan-chun]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 2 ] [Cheng, Cao-zong]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

Reprint Author's Address:

  • [Wu, Huan-chun]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

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Related Keywords:

Source :

FIXED POINT THEORY AND APPLICATIONS

ISSN: 1687-1812

Year: 2014

ESI Discipline: MATHEMATICS;

ESI HC Threshold:81

JCR Journal Grade:1

CAS Journal Grade:1

Cited Count:

WoS CC Cited Count: 2

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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