In this paper, we consider the concept of a β¦-distance on a complete partially ordered G-metric space and prove some fixed point theorems.
Nonlinear coupled fixed point theorems in ordered generalized metric spaces with integral type
β Scribed by Yeol Je Cho; Billy E Rhoades; Reza Saadati; Bessem Samet; Wasfi Shatanawi
- Book ID
- 115021677
- Publisher
- Springer International Publishing AG
- Year
- 2012
- Tongue
- English
- Weight
- 189 KB
- Volume
- 2012
- Category
- Article
- ISSN
- 1687-1820
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π SIMILAR VOLUMES
The purpose of this paper is to present some fixed point theorems for T -weakly isotone increasing mappings which satisfy a generalized nonlinear contractive condition in complete ordered metric spaces. As application, we establish an existence theorem for a solution of some integral equations.
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