TY - JOUR
AU - Kawasaki, T.
PY - 2011/12/21
Y2 - 2021/12/09
TI - A TOPOLOGY IN A VECTOR LATTICE AND FIXED POINT THEOREMS FOR NONEXPANSIVE MAPPINGS
JF - Journal of Nonlinear Analysis and Optimization: Theory & Applications
JA - J. Nonlinear Anal. Optim.
VL - 2
IS - 1
SE -
DO -
UR - http://www.math.sci.nu.ac.th/ojs302/index.php/jnao/article/view/43
SP - 61-67
AB - <p>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.</p>
ER -