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
Coupled fixed point theorems for multi-valued nonlinear contraction mappings in partially ordered metric spaces
β Scribed by Bessem Samet; Calogero Vetro
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 231 KB
- Volume
- 74
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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 .
The notion of coupled fixed point is introduced by Bhaskar and Lakshmikantham ( 2006) in [13]. In this manuscript, some results of Lakshmikantham and ΔiriΔ (2009) in [5] are extended to the class of cone metric spaces.
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