Quadruple fixed point theorems for nonlinear contractions
✍ Scribed by Erdal Karapınar; Nguyen Van Luong
- Book ID
- 116332498
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 222 KB
- Volume
- 64
- Category
- Article
- ISSN
- 0898-1221
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📜 SIMILAR VOLUMES
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.
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
Some new fixed point theorems are presented for operators of accretive, nonlinear contractive, or nonexpansive type. These results are then used to establish a new existence principle for second order boundary value problems in Hilbert spaces.