Common Fixed Point Theorems Using Subcompatible and Subsequentially Continuous Mappings on Partial Metric Spaces
DOI:
https://doi.org/10.26713/cma.v14i1.1825Keywords:
Fixed point, Partial metric space, Subcompatible, Subsequentially continuous, Reciprocally continuous and compatibleAbstract
The purpose of this paper is to generate two common fixed point (CFP) theorems using subcompatible and reciprocally continuous and subsequentially continuous and compatible on partial metric spaces. Further, we extend our results with suitable examples.
Downloads
References
M. A. Al-Thagafi and N. Shahzad, Generalized I-nonexpansive selfmaps and invariant approximations, Acta Mathematica Sinica (English series) 24 (2008), 867 – 876, DOI: 10.1007/s10114-007-5598-x.
I. Altun, F. Sola and H. Simsek, Generalized contractions on partial metric spaces, Topology and its Applications 157(18) (2010), 2778 – 2785, DOI: 10.1016/j.topol.2010.08.017.
L. Ciric, M. Abbas, R. Saadati and N. Hussain, Common fixed points of almost generalized contractive mappings in ordered metric spaces, Applied Mathematics and Computation 217(12) (2011), 5784 – 5789, DOI: 10.1016/j.amc.2010.12.060.
G. Jungck, Compatible mappings and common fixed points, International Journal of Mathematics and Mathematical Sciences 9 (1986), Article ID 531318, 9 pages, DOI: 10.1155/S0161171286000935.
G. Jungck and B. E. Rhoades, Fixed point theorems for occasionally weakly compatible mappings, Fixed Point Theory 7(2) 2006), 287 – 296, URL: https://www.math.ubbcluj.ro/~nodeacj/download.php?f=062rhoades.pdf.
G. Jungck and B. E. Rhoades, Fixed points for set valued functions without continuity, Indian Journal of Pure and applied Mathematics 29(3) (1998), 227 – 238.
E. Karapınar and U. Yüksel, Some common fixed point theorems in partial metric spaces, Journal of Applied Mathematics 2011 (2011), Article ID 263621, 16 pages, DOI: 10.1155/2011/263621.
S. G. Matthews, Partial metric topology, Annals of the New York Academy of Sciences 728(1) (1994), 183 – 197, DOI: 10.1111/j.1749-6632.1994.tb44144.x.
R. P. Pant, A common fixed point theorem under a new condition, Indian Journal of Pure and applied Mathematics 30(2) (1999), 147 – 152.
S. Ravi and V. Srinivas, Fixed point theorem using occasionally weakly compatible mappings in metric space, Journal of Computer and Mathematical Sciences 10(3) (2019), 461 – 466.
V. Srinivas and R. Sriramula, Generation of a common fixed point theorem using A-compatible and B-compatible mappings of type (E), Global Journal of Pure and Applied Mathematics 13(6) (2017), 1735 – 1744.
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.