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
Couple fixed point theorems for nonlinear contractions in cone metric spaces
✍ Scribed by Erdal Karapınar
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 388 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0898-1221
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✦ Synopsis
The notion of coupled fixed point is introduced by Bhaskar and Lakshmikantham ( 2006) in [13]. In this manuscript, some results of Lakshmikantham and Ćirić (2009) in [5] are extended to the class of cone metric spaces.
📜 SIMILAR VOLUMES
a b s t r a c t In the first part of this paper we generalize results on common fixed points in ordered cone metric spaces obtained by I. Altun and G. Durmaz [I. Altun, G. Durmaz, Some fixed point theorems on ordered cone metric spaces, Rend. Circ. Mat. Palermo, 58 (
In the present work, we prove a coupled fixed point theorem for contractive mappings in complete fuzzy metric spaces.
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.