A New Type of Coincidence and Common Fixed-Point Theorems for Modified ð-Admissible ð©-Contraction Via Simulation Function

Sahil Arora; Manoj Kumar; Sanjay Mishra

doi:10.5614/j.math.fund.sci.2020.52.1.3

Authors

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

DOI:

https://doi.org/10.5614/j.math.fund.sci.2020.52.1.3

Keywords:

coincidence point, common fixed point, modified 𝛼-admissible 𝓩-contraction, simulation function, triangular 𝛼-orbital admissible function

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 -contraction.

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