Some Fixed Point Theorems for Generalized \(\alpha\)-Admissible \(Z\)-Contraction via Simulation Function

Manoj Kumar Shriwas; Anil Kumar Dubey; Urmila Mishra

doi:10.26713/cma.v15i2.2558

Authors

Manoj Kumar Shriwas Department of Mathematics, Dr. C.V. Raman University, Kargi Road Kota, Bilaspur, Chhattisgarh, India https://orcid.org/0000-0003-4353-1269 (unauthenticated)
Anil Kumar Dubey Department of Applied Mathematics, Bhilai Institute of Technology, Bhilai House Durg, Chhattisgarh, India https://orcid.org/0000-0001-5831-3817 (unauthenticated)
Urmila Mishra Department of Mathematics, Vishwavidyalaya Engineering College, Ambikapur, Chhattisgarh, India https://orcid.org/0009-0008-7261-9861 (unauthenticated)

DOI:

https://doi.org/10.26713/cma.v15i2.2558

Keywords:

Metric-like space, Fixed point, Generalized α-admissible mapping, Simulation function, Z-contractions

Abstract

In this paper, we prove some fixed point theorems in metric-like space by using generalized \(\alpha\)-admissible mapping embedded in the simulation function. Our results generalize and extend several known results on literature.

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