Some results on common fixed points and best approximation

Some results on convergence and existence of best proximity points

In this paper, we introduce generalized cyclic φ-contraction maps in metric spaces and give some results of best proximity points of such mappings in the setting of a uniformly convex Banach space. Moreover, we obtain convergence and existence results of proximity points of the mappings on reflexive Banach spaces

Results on Common Fixed Points

We establish common fixed point theorems related with families of selfmappings on metric spaces. Our results extend, improve, and unify the results due to Fisher (1977, 1978, 1979, 1981, 1984), Jungck (1988), and Ohta and Nikaido (1994). 2000 Mathematics Subject Classification. 47H10, 54H25.

Some Results on p-Best Approximation in Vector Spaces

Common fixed-point results in best approximation theory

A common fixed-point generalization of the results of Dotson, Tarafdar, and Taylor is obtained which in turn extends a recent theorem by Jungck and Seasa to locally convex spaces. As applications of our work, we improve and unify well-known results on fixed points and common fixed points of beat approximation. @ 2003 Elsevier Science Ltd. All rights reserved. Keywords--common fixed point, Best ...

On Common Fixed Points

Some fixed point theorems based on an asymptotic regularity condition have been obtained, which generalize the previously well-known results. 2000 Mathematics Subject Classification: 47H10, 54H25.