COMMON FIXED POINTS OF SUZUKI TYPE $Z-$CONTRACTION OF TWO PAIRS OF SELFMAPS WITH A RATIONAL EXPRESSION VIA $\Psi-$SIMULATION FUNCTION
Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 65
DOI: https://doi.org/10.56827/SEAJMMS.2023.1903.14
Author :
G. V. R. Babu (Department of Mathematics, Andhra University, Visakhapatnam - 530003, Andhra Pradesh, INDIA)
P. Mounika (Department of Mathematics, Andhra University, Visakhapatnam - 530003, Andhra Pradesh, INDIA)
Abstract
In this paper, we define Suzuki type $Z-$contraction with a rational expression via $\Psi-$simulation function and prove the existence and uniqueness of common fixed points of two pairs of selfmaps by using reciprocal continuity and weakly compatible property. An example is provided in support of our result.
Keywords and Phrases
Common fixed points, simulation function, compatible maps, weakly compatible maps, reciprocal continuity.
A.M.S. subject classification
47H10, 54H25.
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