A TOPOLOGY IN A VECTOR LATTICE AND FIXED POINT THEOREMS FOR NONEXPANSIVE MAPPINGS
In the previous paper  we show Takahashi's and Fan-Browder's fixed point theorems in a vector lattice and in the previous paper  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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