Some Results of Conditionally Sequential Absorbing Maps in 2-Menger Space

Authors

DOI:

https://doi.org/10.26713/cma.v13i1.1718

Keywords:

Self-mappings, Reciprocally continuous mappings, Conditionally sequential absorbing maps, Probabilistic 2-metric space.

Abstract

This paper aims to present two results in probabilistic 2-metric space by using the concepts of conditionally sequential absorbing maps and reciprocally continuous mappings. These are generalizations of the theorem proved by Gupta et al. [5]. Further, these are justified by supporting
examples.

Downloads

Download data is not yet available.

References

C. Alsina, B. Schweizer and A. Sklar, On the definition of a probabilistic normed space, Aequationes Mathematicae 46 (1993), 91 – 98, DOI: 10.1007/BF01834000.

M.A. Al-Thagafi and N. Shahzad, A note on occasionally weakly compatible maps, International Journal of Mathematical Analysis 3 (2009), 55 – 58.

S, Gähler, 2-metrische Räume und ihre topologische Struktur, Mathematische Nachrichten 26 (1963), 115 – 148, DOI: 10.1002/mana.19630260109.

I. Golet, Fixed point theorems for multivalued mapping in probabilistic 2-metric spaces, Analele Stiintifice ale Universitatii Ovidius Constanta 3 (1995), 44 – 51.

V.K. Gupta, A. Jain and R. Kumar, Common fixed point theorem in probabilistic 2-metric space by weak compatibility, International Journal of Theoretical and Applied Sciences 11 (2019), 9 – 12.

K. Menger, Statistical metrics, Proceedings of the National Academy of Sciences of the United States of America 28 (1942), 535 – 537, DOI: 10.1073/pnas.28.12.535.

S.N. Mishra, Common fixed points of compatible mappings in PM-spaces, Mathematica Japonicae 36 (1991), 283 – 289.

R.P. Pant and S. Padaliya, Reciprocal continuity and fixed point, Jnanabha 29 (1999), 137 – 143, URL: http://docs.vijnanaparishadofindia.org/jnanabha.

D.K. Patel, P. Kumam and D. Gopal, Some discussion on the existence of common fixed points for a pair of maps, Fixed Point Theory and Applications 2013 (2003), Article number: 187, DOI: 10.1186/1687-1812-2013-187.

K. Satyanna and V. Srinivas, Fixed point theorem using semi compatible and sub sequentially continuous mappings in Menger space, Journal of Mathematical and Computational Science 10 (2020), 2503 – 2515, DOI: 10.28919/jmcs/4953.

B. Singh and S. Jain, A fixed point theorem in Menger space through weak compatibility, Journal of Mathematical Analysis and Applications 301 (2005), 439 – 448, DOI: 10.1016/j.jmaa.2004.07.036.

Downloads

Published

23-05-2022
CITATION

How to Cite

Srinivas, V., & Satyanna, K. (2022). Some Results of Conditionally Sequential Absorbing Maps in 2-Menger Space. Communications in Mathematics and Applications, 13(1), 27–40. https://doi.org/10.26713/cma.v13i1.1718

Issue

Vol. 13 No. 1 (2022)

Section

Research Article

License

Creative Commons Licence 4.0 by  

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.