Coupled fixed-point results for T-contractions on cone metric spaces with applications

Pasquale Vetro, Hamidreza Rahimi, G. Soleimani Rad

Risultato della ricerca: Articlepeer review

4 Citazioni (Scopus)

Abstract

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.
Lingua originaleEnglish
pagine (da-a)158-167
Numero di pagine10
RivistaMathematical Notes
Volume98
Stato di pubblicazionePublished - 2015

All Science Journal Classification (ASJC) codes

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