Common Fixed Point Theorems for OWC Maps Satisfying Property (E.A) in S-Metric Spaces Using an Inequality Involving Quadratic Terms
DOI:
https://doi.org/10.26713/cma.v13i5.2250Keywords:
Coincidence points, Common fixed points, Property (E.A), Occasional weak compatibility, Common property (E.A)Abstract
In this study, using a quadratic inequality, we prove certain fixed point theorems for four pair wise occasionally weakly compatible maps. In fact, we slightly modify the inequality used by G. V. R. Babu et al. [3, 4] and apply it to S-metric spaces. We also give an example to justify the relevance and reliability of our results.
Downloads
References
M. Aamri and D. El. Moutawakil, Some new common fixed point theorems under strict contractive conditions, Journal of Mathematical Analysis and Applications 270(1) (2002), 181 – 188, DOI: 10.1016/S0022-247X(02)00059-8.
M. A. Al-Thagafi and N. Shahzad, Generalized I-nonexpansive selfmaps and invariant approximations, Acta Mathematica Sinica, English Series 24(5) (2008), 867 – 876, DOI: 10.1007/s10114-007-5598-x.
G. V. R. Babu and G. N. Alemayehu, Common fixed point theorems for occasionally weakly compatible maps satisfying property (E.A) using an inequality involving quadratic terms, Applied Mathematics Letters 24(6) (2011), 975 – 981, DOI: 10.1016/j.aml.2011.01.008
G. V. R. Babu and M. V. R. Kameswari, Common fixed point theorems for weakly compatible maps using a contraction quadratic inequality, Advanced Studies in Contemporary Mathematics (Kyungshang) 9(2) (2004), 139 – 152, http://www.jangjeon.or.kr/etc/view.html?id=143.
G. Jungck, Commuting mappings and fixed points, The American Mathematical Monthly 83(4) (1976), 261 – 263, DOI: 10.1080/00029890.1976.11994093
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 points for set valued functions without continuity, Indian Journal of Pure and Applied Mathematics 29 (1998), 227 – 238.
Z. Mustafa and B. Sims, A new approach to generalized metric spaces, Journal of Nonlinear and convex Analysis 7(2) (2006), 289 – 297, URL: http://yokohamapublishers.jp/online2/opjnca/vol7/p289.html.
S. Sedghi, N. Shobe and A. Aliouche, A generalization of fixed point theorems in S-metric spaces, Matematicki Vesnik 64(249) (2012), 258 – 266, URL: https://eudml.org/serve/253803/accessibleLayeredPdf/0.
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 and N. V. Dung, Fixed point theorems on S-metric spaces, Matematicki Vesnik 255 (2014), 113 – 124, URL: https://eudml.org/serve/261245/accessibleLayeredPdf/0.
K. Ta¸s, M. Telci and B. Fisher, Common fixed point theorems for compatible mappings, International Journal of Mathematics and Mathematical Sciences 19(3) (1996), 451 – 456, DOI: 10.1155/S0161171296000646.
Y. Liu, J. Wu and Li. Zhixiang, Common fixed points of single-valued and multivalued maps, International Journal of Mathematics and Mathematical Sciences 2005(19) (2005), 3045 – 3055, DOI: 10.1155/IJMMS.2005.3045.
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.
