A new convergence theorem in a reflexive Banach space

Volume 9, Issue 4, pp 1891--1901 http://dx.doi.org/10.22436/jnsa.009.04.43

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Authors

Xiaoying Gong - Department of Mathematics and Sciences, Shijiazhuang University of Economics, Shijiazhuang, China. Wenxin Wang - Department of Applied Mathematics and Physics, North China Electric Power University, Baoding, China.

Abstract

In this paper, fixed points of an asymptotically quasi-\(\phi\)-nonexpansive mapping in the intermediate sense and a bifunction are investigated based on a monotone projection algorithm. A strong convergence theorem is established in a reflexive Banach space.

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Keywords

• Equilibrium problem point
• quasi-\(\phi\)-nonexpansive mapping
• fixed point
• projection
• variational inequality.

MSC

•  65J15
•  47N10

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