Common Fixed Point Theorem for Four Weakly Compatible Self Maps on a Complete S-Metric Space
DOI:
https://doi.org/10.26713/cma.v13i5.2251Keywords:
S-metric space, Self map, Compatibility, Weakly compatible maps, Fixed pointAbstract
In the present paper, we establish a common fixed point theorem for four weakly compatible self maps of a S-metric space.
Downloads
References
B.C. Dhage, Generalized metric spaces and mappings with fixed point, Bulletin of the Calcutta Mathematical Society 84 (1992), 329 – 336.
S. Gähler, 2-metrische Räume und ihre topologische Struktur, Mathematische Nachrichten 26(1-4) (1963), 115 – 148, DOI: 10.1002/mana.19630260109.
S. Gahler, Zur geometric 2-metriche raume, Revue Roumaine de Mathematiques Pures et Appliquees 11 (1966), 665 – 667.
G. Jungck, Common fixed points for non-continuous non self maps on non metric spaces, Far East Journal of Mathematical Sciences 4 (1996), 199 – 215.
G. Jungck, Compatible mappings and common fixed points, International Journal of Mathematics and Mathematical Sciences 9(4) (1986), 771 – 779, DOI: 10.1155/S0161171286000935.
G. Jungck and B. E. Rhoades, Fixed point for set valued functions without continuity, Indian Journal of Pure and Applied Mathematics 29(3) (1998), 227 – 238.
Z. Mustafa and B. Sims, Some remarks concerning D-metric spaces, Proceedings of the International Conference on Fixed Point Theory and its Applications (2003), 189 – 198, URL: https://citeseerx.ist.psu.edu/document?repid=rep1&type=pdf&doi=b403e87dcede715031c6355182d997f89beb7bf1.
Z. Mustafa and B. Sims, A new approach to generalized metric spaces, Journal of Nonlinear and Convex Analysis 7(2006), 289 – 297.
S. Sedghi, I. Altun, N. Shobe and M.A. Salahshour, Some properties of S-metric spaces and fixed point results, Kyungpook Mathematical Journal 54(1) (2014), 113 – 122, DOI: 10.5666/KMJ.2014.54.1.113.
S. Sedghi and N.V. Dung, Fixed point theorems on S-metric spaces, Matematicki Vesnik 66 (2014), 113 – 124.
S. Sedghi, N. Shobe and A. Aliouche, A generalization of fixed point theorems in S-metric spaces, Matematicki Vesnik 64 (2012), 258 – 226.
S. Sedghi, N. Shobe and H. Zhou, A common fixed point theorem in D∗-metric spaces, Fixed Point Theory and Applications 2007 (2007), 27906, 13 pages, URL: https://fixedpointtheoryandalgorithms.springeropen.com/articles/10.1155/2007/27906.
S. Sedghi, N. Shobkolaei, M. Shahraki and T. Došenovic, Common fixed point of four maps in S-metric spaces, Mathematical Sciences 12 (2018), 137 – 143, DOI: 10.1007/s40096-018-0252-6.
Downloads
Published
How to Cite
Issue
Section
License
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a CCAL that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.