Some Fixed Point Theorems for \((\alpha,\beta,z)\)-Contraction Mapping under Simulation Functions in Banach Space

Snehlata Dwivedi; Urmila Mishra; A.K. Dubey; M.D. Pandey

doi:10.26713/cma.v14i1.1828

Authors

Snehlata Dwivedi Department of Mathematics, Dr. C. V. Raman University, Kargi Road, Kota, Bilaspur, Chhattisgarh, India
Urmila Mishra Department of Mathematics, Vishwavidyalaya Engineering College, Lakhanpur-Ambikapur, Chhatisgarh, India https://orcid.org/0000-0003-4353-1269 (unauthenticated)
A.K. Dubey Department of Applied Mathematics, Bhilai Institute of Technology, Bhilai House, Durg, Chhattisgarh, India https://orcid.org/0000-0001-5831-3817 (unauthenticated)
M.D. Pandey Department of Applied Mathematics, Bhilai Institute of Technology, Bhilai House, Durg, Chhattisgarh, India https://orcid.org/0000-0003-3833-5247 (unauthenticated)

DOI:

https://doi.org/10.26713/cma.v14i1.1828

Keywords:

Banach space, Fixed point, \((\alpha ,\beta ,z)\)-admissible mapping, Simulation functions

Abstract

In this paper, we prove some fixed point results in the setting of a Banach space via a cyclic \((\alpha ,\beta ,z)\)-admissible mapping imbedded in simulation function. Our results extend and generalize some well known results in the existing literature.

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