Some results on asymptotically quasi-phi-nonexpansive mappings in the intermediate sense and Ky Fan inequalities

Volume 9, Issue 4, pp 1675--1684 http://dx.doi.org/10.22436/jnsa.009.04.23

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Authors

Hongwei Liang - School of Mathematics and Statistics, Henan University, Kaifeng 475000, China. Mingliang Zhang - School of Mathematics and Statistics, Henan University, Kaifeng 475000, China.

Abstract

In this paper, we study asymptotically quasi-\(\phi\)- nonexpansive mappings in the intermediate sense and Ky Fan inequalities. A convergence theorem is established in a strictly convex and uniformly smooth Banach space. The results presented in the paper improve and extend some recent results.

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Keywords

• Asymptotically nonexpansive mapping
• quasi-\(\phi\)-nonexpansive mapping
• fixed point
• convergence theorem.

MSC

•  65J15
•  90C33

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