Open Access
2013 New Existence Results and Generalizations for Coincidence Points and Fixed Points without Global Completeness
Wei-Shih Du
Abstr. Appl. Anal. 2013: 1-12 (2013). DOI: 10.1155/2013/214230

Abstract

Some new existence theorems concerning approximate coincidence point property and approximate fixed point property for nonlinear maps in metric spaces without global completeness are established in this paper. By exploiting these results, we prove some new coincidence point and fixed point theorems which generalize and improve Berinde-Berinde's fixed point theorem, Mizoguchi-Takahashi's fixed point theorem, Kikkawa-Suzuki's fixed point theorem, and some well known results in the literature. Moreover, some applications of our results to the existence of coupled coincidence point and coupled fixed point are also presented.

Citation

Download Citation

Wei-Shih Du. "New Existence Results and Generalizations for Coincidence Points and Fixed Points without Global Completeness." Abstr. Appl. Anal. 2013 1 - 12, 2013. https://doi.org/10.1155/2013/214230

Information

Published: 2013
First available in Project Euclid: 18 April 2013

zbMATH: 1267.54042
MathSciNet: MR3035194
Digital Object Identifier: 10.1155/2013/214230

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
Back to Top