Fixed Point Results on Partial Modular Metric Space

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

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

In the present paper, we refine the notion of the partial modular metric defined by Hosseinzadeh and Parvaneh to eliminate the occurrence of discrepancies in the non-zero self-distance and triangular inequality. In support of this, we discuss non-trivial examples. Finally, we prove a common fixed-point theorem for four self-mappings in partial modular metric space and an application to our result; the existence of a solution for a system of Volterra integral equations is discussed.

Original languageEnglish
Article number62
JournalAxioms
Volume11
Issue number2
DOIs
Publication statusPublished - Feb 2022
Externally publishedYes

Keywords

  • C-class function
  • Fixed point
  • Modular space
  • Partial metric space
  • Partial modular space
  • Volterra integral equation
  • Weakly compatible mappings

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