Fixed Points for \((\alpha,\beta)\)-Admissible Mappings via Simulation Functions

Archana Dewangan; A. K. Dubey; M. D. Pandey; R. P. Dubey

doi:10.26713/cma.v12i4.1615

Authors

Archana Dewangan Department of Mathematics, Dr. C. V. Raman University, Kota, Bilaspur 495113, Chhattisgarh, India
A. K. Dubey Department of Applied Mathematics, Bhilai Institute of Technology, Bhilai House, Durg 491001, Chhattisgarh, India https://orcid.org/0000-0001-5831-3817 (unauthenticated)
M. D. Pandey Department of Applied Mathematics, Bhilai Institute of Technology, Bhilai House, Durg 491001, Chhattisgarh, India https://orcid.org/0000-0003-3833-5247 (unauthenticated)
R. P. Dubey Department of Mathematics, Dr. C. V. Raman University, Kota, Bilaspur 495113, Chhattisgarh, India

DOI:

https://doi.org/10.26713/cma.v12i4.1615

Keywords:

Fixed point, Metric-like space, \(\alpha, \beta\)-admissible mapping, Simulation function

Abstract

In this paper, by using the concept of \(\alpha,\beta\)-admissible mappings with respect to \(Z\)-contraction, we prove some fixed point results in complete metric-like spaces. Our results generalize and extend several well-known results on literature. An example is given to support the obtained results.

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