FIXED POINT THEOREMS FOR THE MODIFIED SIMULATION FUNCTION AND APPLICATIONS TO FRACTIONAL ECONOMICS SYSTEMS

Authors

  • Hemant Kumar Nashine Applied Analysis Research Group, Faculty of Mathematics and Statistics Ton Duc Thang University
  • Rabha W. Ibrahim Nonlinear Dynamics Research Center (NDRC), Ajman University
  • Yeol Je Cho Center for General Education, China Medical University
  • Jong Kyu Kim Department of Mathematics Education, Kyungnam University

Abstract

In this paper, first, we prove some common fixed point theorems for the generalized contraction condition under newly defined modified simulation function which generalize and include many results in the literature. Second, we give two numerical examples with graphical representations for verifying the proposed results. Third, we discuss and study a set of common fixed point theorems for two pairs (finite families) of self-mappings. Fi- nally, we give some applications of our results in discrete and functional fractional economic systems.

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Published

2021-02-23

Issue

Volume 26, Number 1, March 2021

Section

Articles