C*-Algebra-Valued Partial Modular Metric Spaces and Some Fixed Point Results

Santanu Narzary, Dipankar Das, Yumnam Mahendra Singh, Mohammad Saeed Khan, Salvatore Sessa*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

In the present paper, we introduce the notion of (Formula presented.) -algebra-valued partial modular metric space satisfying the symmetry property that generalizes partial modular metric space, (Formula presented.) -algebra-valued partial metric space, and (Formula presented.) -algebra-valued modular metric space and discuss it with examples. Some fixed point results using (Formula presented.) -contraction mapping are discussed in such space. In addition, we study the stability of obtained results in the spirit of Ulam and Hyers. As an application, we also provide the existence and uniqueness of the solution for a system of Fredholm integral equations.

Original languageEnglish
Article number1135
JournalSymmetry
Volume15
Issue number6
DOIs
Publication statusPublished - Jun 2023
Externally publishedYes

Keywords

  • ℱ-contraction mappings
  • C*-algebra-valued partial metric spaces
  • partial modular metric space

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