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http://dx.doi.org/10.22771/nfaa.2022.27.04.05

SOME FIXED POINT THEOREMS FOR RATIONAL (𝛼, 𝛽, Z)-CONTRACTION MAPPINGS UNDER SIMULATION FUNCTIONS AND CYCLIC (𝛼, 𝛽)-ADMISSIBILITY  

Snehlata, Mishra (Dr. C. V. Raman University)
Anil Kumar, Dubey (Department of Mathematics, Bhilai Institute of Technology)
Urmila, Mishra (Department of Mathematics, Vishwavidyalaya Engineering College (A Constituent College of CSVTU))
Ho Geun, Hyun (Department of Mathematics Education, Kyungnam University)
Publication Information
Nonlinear Functional Analysis and Applications / v.27, no.4, 2022 , pp. 757-771 More about this Journal
Abstract
In this paper, we present some fixed point theorems for rational type contractive conditions in the setting of a complete metric space via a cyclic (𝛼, 𝛽)-admissible mapping imbedded in simulation function. Our results extend and generalize some previous works from the existing literature. We also give some examples to illustrate the obtained results.
Keywords
Fixed point; metric space; simulation function; rational (${\alpha},{\beta},Z$)-contraction mapping; cyclic (${\alpha},{\beta}$)-admissible mapping;
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