Fixed point theory using ψ contractive mapping in C-algebra valued b-metric space

Rahmah Mustafa, Saleh Omran, Quang Ngoc Nguyen

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, fixed point theorems using ψ contractive mapping in C-algebra valued b-metric space are introduced. By stating multiple scenarios that illustrate the application domains, we demonstrate several applications from the obtained results. In particular, we begin with the definition of the positive function and then recall some properties of the function that lay the fundamental basis for the research. We then study some fixed point theorems in the C-algebra valued b-metric space using a positive function.

Original languageEnglish
Article number92
Pages (from-to)1-8
Number of pages8
JournalMathematics
Volume9
Issue number1
DOIs
Publication statusPublished - 2021 Jan 1

Keywords

  • B-metric spaces
  • C*-algebra valued
  • Common Banach fixed point
  • Contractive mapping
  • Fixed point theory

ASJC Scopus subject areas

  • Mathematics(all)

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