H. Rahimi, P. Vetro, G. Soleimani Rad, “Coupled Fixed-Point Results for $T$-Contractions on Cone Metric Spaces with Applications”, Matematicheskie Zametki, 2015, Volume 98, Issue 1, Mi mzm

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Matematicheskie Zametki, 2015, Volume 98, Issue 1, paper published in the English version journal (Mi mzm10915)

This article is cited in 6 scientific papers (total in 6 papers)

Papers published in the English version of the journal

Coupled Fixed-Point Results for

T

$T$ -Contractions on Cone Metric Spaces with Applications

H. Rahimi^a, P. Vetro^b, G. Soleimani Rad^a

^a Department of Mathematics, Faculty of Science, Central Tehran Branch, Islamic Azad University, Tehran, Iran
^b Dipartimento di Matematica e Informatica, Università degli Studi Palermo, Palermo, Italy

Citations (6)

Abstract: The notion of coupled fixed point was introduced in 2006 by Bhaskar and Lakshmikantham. On the other hand, Filipović et al. [M. Filipović et al.,"Remarks on "Cone metric spaces and fixed-point theorems of

T

$T$ -Kannan and

T

$T$ -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

$T$ -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.

Keywords: cone metric space, coupled fixed point,

T

$T$ -contraction, sequentially convergent, subsequentially convergent.

Funding agency
The first and the third authors were supported by Central Tehran Branch of Islamic Azad University. The second author was supported by Universita degli Studi di Palermo. Also, the authors thank the anonymous referee for his/her valuable suggestions, which helped to improve the final version of this paper.

Received: 22.04.2013
Revised: 27.03.2015

English version:
Mathematical Notes, 2015, Volume 98, Issue 1, Pages 158–167
DOI: https://doi.org/10.1134/S0001434615070135

Bibliographic databases:

Document Type: Article

Language: English

Linking options:

https://www.mathnet.ru/eng/mzm10915

This publication is cited in the following 6 articles:

G. Siva, “Fixed point theorems of contraction mappings with variations in cone metric space domains”, Asian-European J. Math., 16:01 (2023)
Izadi M., Jokar A., Akhbari M.H., Derafshpour M., “Some Common Fixed Point Results For T-Contractions in Cone Metric Spaces Over a Banach Algebra”, J. Math. Anal., 11:4 (2020), 16–30
A. Petrusel, A. Soós, “Coupled fractals in complete metric spaces”, Nonlinear Anal.-Model Control, 23:2 (2018), 141–158
D. R. Kumar, M. Pitchaimani, “New coupled fixed point theorems in cone metric spaces with applications to integral equations and Markov process”, Trans. A Razmadze Math. Inst., 172:3, A (2018), 409–419
A. H. Ansari, H. Işik, S. Radenović, “Coupled fixed point theorems for contractive mappings involving new function classes and applications”, Filomat, 31:7 (2017), 1893–1907
P. Yan, J. Yin, Q. Leng, “Some coupled fixed point results on cone metric spaces over Banach algebras and applications”, J. Nonlinear Sci. Appl., 9:10 (2016), 5661–5671

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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