Common fixed point theorem for pair of quasi triangular α-orbital admissible mappings in complete metric space with application

Rakesh Tiwari; Shashi Thakur

doi:10.26637/mjm1102/006

Abstract

In this paper, we establish a common fixed point theorem for pair of quasi triangular α-orbital admissible with an interpolative (φ, ψ)- Banach-Kannan-Chatterjea type Z-contraction mappings with respect to simulation function in complete metric space. An illustrative example is furnished to validate our main result. Our result extends the result of M. S. Khan et al. [15]. As an application, we provide the existence of a solution for a nonlinear Fredholm integral equations.

Keywords:

Interpolative $(\varphi, \psi)$-type $\mathcal{Z}$-contraction, altering distance function, comparison function, simulation function, quasi triangular $\alpha$-orbital admissible mappings

Mathematics Subject Classification:

General Mathematics

Authors Imprint References Funding Related Articles Downloads

Rakesh Tiwari Department of Mathematics, Government V. Y. T. Post-Graduate Autonomous College, Durg 491001, Chhattisgarh, India.
Shashi Thakur Department of Mathematics, C. L. C. Government Arts and Commerce College, Dhamdha, Chhattisgarh, India. https://orcid.org/0000-0003-0817-5676

Pages: 167-180
Date Published: 01-04-2023
Vol. 11 No. 02 (2023): Malaya Journal of Matematik (MJM)

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