On new generalizations of Smarzewski’s fixed point theorem

Journal of inequalities and applications

Wei-Shih Du¹ 

关键词: strictly convex Banach space;    uniformly convex Banach space;    λ-firmly nonexpansive mapping;    asymptotic radius;    asymptotic center;    reactive firmly nonexpansive mapping;    Smarzewski’s fixed point theorem;   

DOI  :  10.1186/1029-242X-2014-493

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this work, we prove some new generalizations of Smarzewski’s fixed point theorem and some new fixed point theorems which are original and quite different from the well-known results in the literature. MSC:46B20, 47H09, 54H25.

【 授权许可】

CC BY