# Advances in Analysis

### Fixed Point Approximations with Finite Relatively Nonexpansive Maps in Some Real Banach Spaces

Download PDF (560.3 KB) PP. 19 - 29 Pub. Date: January 15, 2017

### Author(s)

**Umar Yusuf Batsari**^{*}

Department of Mathematics and Statistics, Hassan Usman Katsina Polytechnic, Katsina State, Nigeria

### Abstract

*E*be a uniformly smooth and uniformly convex real Banach space and C be a nonempty, closed and convex subset of

*E*. In this paper, it is shown that {

*x*

_{n}} obtained from Batsari’s[21] CQ algorithm with relatively nonexpansive maps converges strongly to a point bx which is also a common fixed point

*x*of some finite relatively nonexpansive mappings and solves a system of equilibrium problems in

*E*. The result obtained improves some existing results in the literature.

### Keywords

### References

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