Coupled fixed-point results for T-contractions on cone metric spaces with applications
| Autor: | Pasquale Vetro, G. Soleimani Rad, Hamidreza Rahimi |
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| Přispěvatelé: | Rahimi, H., Vetro, P., Rad, G. |
| Rok vydání: | 2015 |
| Předmět: |
coupled fixed point
Pure mathematics cone metric space General Mathematics Injective metric space Mathematical analysis Periodic point Fixed point Nonlinear integral equation Convex metric space T-contraction Metric space Cone (topology) Settore MAT/05 - Analisi Matematica subsequentially convergent sequentially convergent Mathematics |
| Zdroj: | Mathematical Notes. 98:158-167 |
| ISSN: | 1573-8876 0001-4346 |
| DOI: | 10.1134/s0001434615070135 |
| Popis: | The notion of coupled fixed point was introduced in 2006 by Bhaskar and Lakshmikantham. On the other hand, Filipovićet al. [M. Filipovićet al., “Remarks on “Cone metric spaces and fixed-point theorems of T-Kannan and T-Chatterjea contractive mappings”,” Math. Comput. Modelling 54, 1467–1472 (2011)] proved several fixed and periodic point theorems for solid cones on cone metric spaces. In this paper we prove some coupled fixed-point theorems for certain T-contractions and study the existence of solutions of a system of nonlinear integral equations using the results of our work. The results of this paper extend and generalize well-known comparable results in the literature. |
| Databáze: | OpenAIRE |
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