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

Section

Research Article