EXISTENCE OF SOLUTION OF DIFFERENTIAL EQUATION VIA FIXED POINT IN COMPLEX VALUED b-METRIC SPACES

Authors

  • A.A. Mebawondu School of Mathematics, Statistics and Computer Science University of KwaZulu-Natal
  • H.A. Abass School of Mathematics, Statistics and Computer Science University of KwaZulu-Natal
  • M.O. Aibinu Institute for Systems Science & KZN e-Skills CoLab Durban University of Technology
  • O.K. Narain School of Mathematics, Statistics and Computer Science University of KwaZulu-Natal

Abstract

The concepts of new classes of mappings are introduced in the spaces which are more general space than the usual metric spaces. The existence and uniqueness of common fixed points and fixed point results are established in the setting of complete complex valued b-metric spaces. An illustration is given by establishing the existence of solution of periodic differential equations in the framework of a complete complex valued b-metric spaces.

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Published

2021-05-23

Issue

Volume 26, Number 2, June 2021

Section

Articles