Coupled fixed point theorems of JS-G-contraction on G-metric spaces
Résumé
Jaradat has proven some fixed point results using JS-G-contraction on $G-$metric spaces. Choudhury et al. were derived coupled fixed point theorems for the $G-$metric spaces. The purpose of this paper is to prove some coupled fixed point theorems of JS-G-contraction on G-metric spaces. Moreover, some example is presented to illustrate the validity of our results.
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Références
Al-Rawashdeh A, Ahmad J, Common fixed point theorems for JS-contractions,Bull. Math. Anal.Appl. 8 , 12-22, (2016). DOI: https://doi.org/10.1186/s13663-016-0526-3
Al-Rawashdeh A, Ahmad J, Azam A, New fixed point theorems for generalized contractions in complete metric spaces, Fixed Point Theory Appl. 80, (2015). DOI: https://doi.org/10.1186/s13663-015-0333-2
Binayak S. Choudhury, Pranati Maity, Coupled Fixed point results in generalised metric spaces, Mathematical and Computer Modelling 54, 73-79, (2011). DOI: https://doi.org/10.1016/j.mcm.2011.01.036
Chatterjea, Fixed-point theorems, C. R. Acad. Bulgare Sci. 25, 727-730, (1972).
T. Gnana Bhaskar, V. Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Analysis 65, 1379-1393, (2006). DOI: https://doi.org/10.1016/j.na.2005.10.017
Hussain N, Parvaneh V, Samet B, Vetro C, Some fixed point theorems for generalized contractive mappings in complete metic spaces , Fixed Point Theory Appl. 185,(2015). DOI: https://doi.org/10.1186/s13663-015-0433-z
Jleli M., Samet B., A Generalization of the Banach contraction principle , J.Inequal.Appl. 38, (2014). DOI: https://doi.org/10.1186/1029-242X-2014-38
Mohammed M.M. Jaradat, Zead Mustafa, Sami Ullah Khan, Muhammad Arshad, and Jamshaid Ahmad Some fixed point results on G-metric and Gb-metric spaces , Demonstr. Math., 50, 190-207, (2017). DOI: https://doi.org/10.1515/dema-2017-0018
Z. Mustafa and B. Sims, A new approach to generalized metric spaces, Journal of Nonlinear and Convex Analysis, 7, 289-297, (2006).
Z. Mustafa, Wasfi Sathanawi and Malik Bataineh, Existence of fixed point results in G− metric spaces, International Journal of Mathematics and Mathematical Sciences, 10, (2009). DOI: https://doi.org/10.1155/2009/283028
Z. Mustafa, Jaradat M, Karapinar E, A new fixed point result via property P with an Applications, Journal of Nonlinear Sci. Appl., 10, 2066-2078,(2017). DOI: https://doi.org/10.22436/jnsa.010.04.61
G S M Reddy, A Common Fixed Point theorem on complete G-metric spaces, International Journal of Pure and Applied Mathematics, 118, 195-202, (2018).
G S M Reddy, Generalization of Contraction Principle on G-Metric Spaces, Global Journal of Pure and Applied Mathematics, 14, 1177-1283, (2018).
G S M Reddy, Fixed point theorems of contractions of G-metric Spaces and property’P’in G-Metric spaces, Global Journal of Pure and Applied Mathematics, 14, 885-896, (2018).
G S M Reddy, Fixed Point Theorems for (ε, λ)-Uniformly Locally Generalized Contractions, Global Journal of Pure and Applied Mathematics, 14, 1177-1183, (2018).
T. Dosenovic, S. Radenovic, S. Sedghi, Generalized Metric Spaces: Survey, WMS J. Pure Appl. Math. 9, 3-17, 2018.
Y. Rohen, T. Dosenovic, S. Radenovic, A note on paper ” A fixed point theorem in Sb-metric spaces”, Filomat, 31, 3335-3346, (2017). DOI: https://doi.org/10.2298/FIL1711335R
H. Aydi, D. Rakic, A. Aghajani, T. Dosenovic, M.S. Noorani and H. Qawaqneh, On fixed point results in Gb-metric spaces, Mathematics, 7, 617,(2019). DOI: https://doi.org/10.3390/math7070617
R. P. Agarwal, E. Karapinar, D. O’Regan, A.F.R.L. de Hierro, Fixed Point Theory in Metric Type Spaces, Springer International Publishing Switzerland, (2015). DOI: https://doi.org/10.1007/978-3-319-24082-4
Ravi P. Agarwal, Zoran Kadelburg, Stojan Radenovi´c, On coupled fixed point results in asymmetric G-metric spaces, Journal of Inequalities and Applications, 528, (2013). DOI: https://doi.org/10.1186/1029-242X-2013-528
W.A. Kirk, and N. Shahzad, Fixed Point Theory in Distance Spaces, Springer International Publishing Switzerland,(2014). DOI: https://doi.org/10.1007/978-3-319-10927-5
Vesna Todorcevic, Harmonic Quasiconformal Mappings and Hyperbolic Type Metrics, Springer Nature Switzerland AG, (2019). DOI: https://doi.org/10.1007/978-3-030-22591-9
Ljubomir Ciric, Some recent results in metrical fixed point theory , University of Belgrade, Beograd (2003).
Dusan Dukic, Zoran Kadelburg, Stojan Radenovi´c, Fixed Points of Geraghty-Type Mappings in Various Generalized Metric Spaces, Abstract and Applied Analysis, (2011). DOI: https://doi.org/10.1155/2011/561245
Stojan Radenovic, Remarks on some recent coupled coincidence point results in symmetric G-metric spaces, Journal of Operators, (2013). DOI: https://doi.org/10.1155/2013/290525
Ljiljana Gajic, Zoran Kadelburg, Stojan Radenovic, Gp-metric spaces symmetric and asymmetric, Scientific Publications of the State University of Novi Pazar, Ser. A: Appl. Math. Inform. and Mech., 9, 37-46,(2017). DOI: https://doi.org/10.5937/SPSUNP1701037G
Hamid Faraji, Dragana Savic and S. Radenovic, Fixed point theorems for Geraghty contraction type mappings in b-metric spaces and applications, Aximoms, 8, (2019). DOI: https://doi.org/10.3390/axioms8010034
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