Abstract
The aim of this paper is to obtain new coincidence and common fixed point theorems by using Lipschitz-type conditions of hybrid maps (not necessarily continuous) on a metric space. As applications, we demonstrate the existence of common fixed points from the set of best approximations. Our work sets analogues, unifies and improves various known results existing in the literature.
| Original language | English |
|---|---|
| Pages (from-to) | 1165-1177 |
| Number of pages | 13 |
| Journal | Numerical Functional Analysis and Optimization |
| Volume | 28 |
| Issue number | 9-10 |
| DOIs | |
| State | Published - Sep 2007 |
Bibliographical note
Funding Information:The author A. R. Khan gratefully acknowledges the support provided by King Fahd University of Petroleum & Minerals during this research.
Keywords
- Best approximation
- Coincidence point
- Common fixed point
- Eigenvalue
- Lipschitz condition
- Metric space
- Weak commutativity
- Weakly compatible maps
ASJC Scopus subject areas
- Analysis
- Signal Processing
- Computer Science Applications
- Control and Optimization