A TOPOLOGY IN A VECTOR LATTICE AND FIXED POINT THEOREMS FOR NONEXPANSIVE MAPPINGS

Authors

  • T. Kawasaki College of Engineering, Nihon University, Fukushima 963-8642, Japan

Abstract

In the previous paper [4] we show Takahashi's and Fan-Browder's fixed point theorems in a vector lattice and in the previous paper [5] we show Schauder-Tychonoff's fixed point theorem using Fan-Browder's fixed point theorem. The purpose of this paper is to introduce a topology in a vector lattice and to show a fixed point theorem for a nonexpansive mapping and also common fixed point theorems for commutative family of nonexpansive mappings in a vector lattice.

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Published

2011-12-21

How to Cite

Kawasaki, T. (2011). A TOPOLOGY IN A VECTOR LATTICE AND FIXED POINT THEOREMS FOR NONEXPANSIVE MAPPINGS. Journal of Nonlinear Analysis and Optimization: Theory & Applications, 2(1), 61-67. Retrieved from http://www.math.sci.nu.ac.th/ojs302/index.php/jnao/article/view/43

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Section

Research Article