Common fixed points of a generalized ordered g-quasicontraction in partially ordered metric spaces
| Autor: | Xiaolan Liu, Siniša N. Ješić |
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| Rok vydání: | 2013 |
| Předmět: |
Applied Mathematics
010102 general mathematics Fixed-point theorem Fixed point Fixed-point property 01 natural sciences 010101 applied mathematics Combinatorics Hausdorff maximal principle Least fixed point Domain theory Geometry and Topology 0101 mathematics Total order Coincidence point Mathematics |
| Zdroj: | Fixed Point Theory and Applications. 2013 |
| ISSN: | 1687-1812 |
| DOI: | 10.1186/1687-1812-2013-53 |
| Popis: | The concept of a generalized ordered g-quasicontraction is introduced, and some fixed and common fixed point theorems for a g-nondecreasing generalized ordered g-quasicontraction mapping in partially ordered complete metric spaces are proved. We also show the uniqueness of the common fixed point in the case of a generalized ordered g-quasicontraction mapping. Finally, we prove fixed point theorems for mappings satisfying the so-called weak contractive conditions in the setting of a partially ordered metric space. Presented theorems are generalizations of very recent fixed point theorems due to Golubovic et al. (Fixed Point Theory Appl. 2012:20, 2012). |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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