In this paper, we study the existence and uniqueness of (coupled) fixed points for mixed monotone mappings in partially ordered metric spaces with semi-monotone metric. As an application, we prove the existence and uniqueness of the solution for a first-order differential equation with periodic boun
Fixed point theorems in generalized partially ordered -metric spaces
β Scribed by R. Saadati; S.M. Vaezpour; P. Vetro; B.E. Rhoades
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 243 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0895-7177
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β¦ Synopsis
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.
π SIMILAR VOLUMES
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
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.