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Manoj Kumar
Department of Mathematics, Starex University, Gurugram, Haryana, 122413
Astronomy Chemistry Earth & Planetary Sciences Mathematics Physics

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A New Type of Coincidence and Common Fixed-Point Theorems for Modified 𝛂-Admissible 𝓩-Contraction Via Simulation Function Sahil Arora; Manoj Kumar; Sanjay Mishra
Journal of Mathematical and Fundamental Sciences Vol. 52 No. 1 (2020)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/j.math.fund.sci.2020.52.1.3

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.
Co-Authors Sahil Arora Sanjay Mishra