Nonlinear Functional Analysis and Applications

Kyungnam University, Department of Mathematics Eduaction (경남대학교 수학교육과)
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FIXED POINT THEOREMS FOR THE MODIFIED SIMULATION FUNCTION AND APPLICATIONS TO FRACTIONAL ECONOMICS SYSTEMS

  • Nashine, Hemant Kumar (Applied Analysis Research Group, Faculty of Mathematics and Statistics Ton Duc Thang University) ;
  • Ibrahim, Rabha W. (Nonlinear Dynamics Research Center (NDRC), Ajman University) ;
  • Cho, Yeol Je (Center for General Education, China Medical University) ;
  • Kim, Jong Kyu (Department of Mathematics Education, Kyungnam University)
  • Received : 2020.08.06
  • Accepted : 2020.10.10
  • Published : 2021.03.15
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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. Finally, we give some applications of our results in discrete and functional fractional economic systems.

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References

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