[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.7858/eamj.2014.007

A NEW GENERALIZED RESOLVENT AND APPLICATION IN BANACH MAPPINGS

Wang, Xian (College of Mathematics and Computer, Hebei University)
Chen, Jun-Min (College of Mathematics and Computer, Hebei University)
He, Zhen (College of Mathematics and Computer, Hebei University)

Publication Information

East Asian mathematical journal / v.30, no.1, 2014 , pp. 69-77 More about this Journal

Abstract

In this paper, we introduce a new generalized resolvent in a Banach space and discuss its some properties. Using these properties, we obtain an iterative scheme for finding a point which is a fixed point of relatively weak nonexpansive mapping and a zero of monotone mapping. Furthermore, strong convergence of the scheme to a point which is a fixed point of relatively weak nonexpansive mapping and a zero of monotone mapping is proved.

Keywords

Generalized resolvent; Generalized projection; Uniformly smooth Banach space; Weak nonexpansive mapping; Monotone mapping;

Citations & Related Records

Reference

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