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Coupled fixed point theorems for multi-valued nonlinear contraction mappings in partially ordered metric spaces

✍ Scribed by Bessem Samet; Calogero Vetro


Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
231 KB
Volume
74
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES


Coupled fixed point theorems for nonline
✍ V. Lakshmikantham; Ljubomir Δ†iriΔ‡ πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 526 KB

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

Fixed point for set-valued mappings sati
✍ Ismat Beg; Asma Rashid Butt πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 399 KB

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 .

Couple fixed point theorems for nonlinea
✍ Erdal KarapΔ±nar πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 388 KB

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.

Fixed point theorems for generalized con
✍ Mircea-Dan Rus πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 246 KB

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