Common Fixed Point Theorems Using Subcompatible and Subsequentially Continuous Mappings on Partial Metric Spaces

Authors

DOI:

https://doi.org/10.26713/cma.v14i1.1825

Keywords:

Fixed point, Partial metric space, Subcompatible, Subsequentially continuous, Reciprocally continuous and compatible

Abstract

 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.

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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.

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Published

09-05-2023
CITATION

How to Cite

Ravi, S., Mallesh, . B., & Srinivas, V. (2023). Common Fixed Point Theorems Using Subcompatible and Subsequentially Continuous Mappings on Partial Metric Spaces. Communications in Mathematics and Applications, 14(1), 439–450. https://doi.org/10.26713/cma.v14i1.1825

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Section

Research Article