A use of pair (F; h) upper class on some fixed point results in probabilistic Menger space-Reference-Cited by-同舟云学术

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A use of pair (F; h) upper class on some fixed point results in probabilistic Menger space

Published:2022-12-26 Issue: Volume:41 Page:1-10
ISSN:2175-1188
Container-title:Boletim da Sociedade Paranaense de Matemática
language:
Short-container-title:B Soc Paran Mat

Author:

Jafari Shahnaz^ORCID,Ansari Arslan Hojat^ORCID,De La Sen Manuel^ORCID

Abstract

In this paper, we define the concept of (F; h)-alpha-beta-contractive mappings in probabilistic Menger space and prove some fixed point theorems for such mappings. Some examples are given to support the obtained results.

Publisher

Sociedade Paranaense de Matematica

Subject

General Mathematics

Reference18 articles.

1. N. A. Babacev, Nonlinear generalized contraction on Menger PM-spaces, Appl. Anal. Discrete Math. 6, 257–264 (2012).

2. B. S. Choudhury, K. P. Das, A new contraction principle in Menger spaces, Acta Math. Sin. 24, 1379–1386 (2008) .

3. D. Gopal, M. Abbas, C. Vetro,Some new fixed point theorems in Menger PM-spaces with application to Volterra type integral equation, Appl Math and Comput. 232 , 955–967 (2014).

4. O. Hadzic, E. Pap, Fixed Point Theory in Probabilistic Metric Spaces, Kluwer, Dordrecht (2001).

5. K. Menger, Statistical metric, Proc. Natl. sci. 28, 535–538 (1942) .

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