COMMON FIXED POINTS OF SUZUKI TYPE $Z-$CONTRACTION OF TWO PAIRS OF SELFMAPS  WITH A RATIONAL EXPRESSION VIA $\Psi-$SIMULATION FUNCTION

G. V. R. Babu; P. Mounika

doi:https://doi.org/10.56827/SEAJMMS.2023.1903.14

COMMON FIXED POINTS OF SUZUKI TYPE $Z-$CONTRACTION OF TWO PAIRS OF SELFMAPS WITH A RATIONAL EXPRESSION VIA $\Psi-$SIMULATION FUNCTION

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

Volume 19, Issue 3 Pages 161-180 December 30, 2023 139 downloads

Article overview

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 pointssimulation functioncompatible mapsweakly compatible mapsreciprocal continuity.

AMS Subject Classification

47H10, 54H25.

Reference information

How to Cite

G. V. R. Babu, P. Mounika (2023). COMMON FIXED POINTS OF SUZUKI TYPE $Z-$CONTRACTION OF TWO PAIRS OF SELFMAPS WITH A RATIONAL EXPRESSION VIA $\Psi-$SIMULATION FUNCTION. South East Asian Journal of Mathematics and Mathematical Sciences, 19(3), 161-180.

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