Journal of Mathematical and Fundamental Sciences
Vol. 52 No. 1 (2020)

A New Type of Coincidence and Common Fixed-Point Theorems for Modified 𝛂-Admissible 𝓩-Contraction Via Simulation Function

Sahil Arora (Department of Mathematics, Lovely Professional University, Punjab, 144411)
Manoj Kumar (Department of Mathematics, Starex University, Gurugram, Haryana, 122413)
Sanjay Mishra (Department of Mathematics, Starex University, Gurugram, Haryana, 122413)



Article Info

Publish Date
30 Apr 2020

Abstract

In this manuscript, we introduce the concept of modified α-admissible contraction with the help of a simulation function and use this concept to establish some coincidence and common fixed-point theorems in metric space. An illustrative example that yields the main result is given. Also, several existing results within the frame of metric space are established. The main theorem was applied to derive the coincidence and common fixed-point results for α-admissible 𝒵-contraction.

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Journal Info

Abbrev

jmfs

Publisher

Subject

Astronomy Chemistry Earth & Planetary Sciences Mathematics Physics

Description

Journal of Mathematical and Fundamental Sciences welcomes full research articles in the area of Mathematics and Natural Sciences from the following subject areas: Astronomy, Chemistry, Earth Sciences (Geodesy, Geology, Geophysics, Oceanography, Meteorology), Life Sciences (Agriculture, Biochemistry, ...