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 theorems for generalized contractions in partially ordered metric spaces with semi-monotone metric
β Scribed by Mircea-Dan Rus
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 246 KB
- Volume
- 74
- Category
- Article
- ISSN
- 0362-546X
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β¦ Synopsis
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 boundary conditions.
π SIMILAR VOLUMES
In this work, some new fixed point and coupled fixed point theorems for multivalued monotone mappings in ordered metric spaces are proved.
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 (