Fixed point results for mappings satisfying -weakly contractive condition in partially ordered metric spaces
β Scribed by Hemant Kumar Nashine; Bessem Samet
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 232 KB
- Volume
- 74
- Category
- Article
- ISSN
- 0362-546X
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β¦ Synopsis
We establish coincidence fixed point and common fixed point theorems for mappings satisfying (Ο, Ο)-weakly contractive condition in an ordered complete metric space. Some applications of our obtained results are given.
π SIMILAR VOLUMES
The purpose of this paper is to present some fixed point theorems for weakly contractive maps in a complete metric space endowed with a partial order.
Let (X, ) be a partially ordered set and d be a complete metric on X . Let F , G be two setvalued mappings on X . We obtained sufficient conditions for the existence of common fixed point of F and G satisfying an implicit relation in partially ordered set X .
We introduce the concept of a mixed g-monotone mapping and prove coupled coincidence and coupled common fixed point theorems for such nonlinear contractive mappings in partially ordered complete metric spaces. Presented theorems are generalizations of the recent fixed point theorems due to Bhaskar a