TEOREMA TITIK TETAP BERSAMA DARI FUNGSI-FUNGSI PADA RUANG SERAGAM; COMMON FIXED POINT THEOREMS FOR MAPPINGS ON UNIFORM SPACE

SUWARNO, Supama

2011 | Disertasi | PROGRAM STUDI S2 MATEMATIKA

Common fixed point Theorems for mappings on uniform spaces we discuss. The completeness, continuity and convergence of a sequence in uniform spaces are defined based on the concept of A-distance and E-distance. We also use them to define a contractive function and an expansive function. The aim of the thesis is to determine the conditions of functions on uniform spaces that have a common fixed point. Two functions on any uniform space have a fixed point along if they are continuous, compatible or commutative. Another requirement is the range of one function is a subset of the other.

Kata Kunci : A-distance, E-distance