Integral Type Version for Hardy and Roger Type Mapping in Dislocated Metric (d-Metric) Space

Published in Issue 2025-11-09

How to Cite

Integral Type Version for Hardy and Roger Type Mapping in Dislocated Metric (d-Metric) Space. (2025). Communications in Nonlinear Analysis, 8(2). https://oiccpress.com/cna/article/view/17937

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Abstract

Abstract. This work is dedicated to establish a common fixed point theorem forintegral type mapping. We will introduce integral type version for Hardy and Rogertype mapping using the concept of weakly compatible mappings in the context ofdislocated metric (d-metric) space. Several corollaries may be deduced from theestablish result.

Keywords

  • Key Words and Phrases: Dislocated metric space,
  • self-mapping,
  • Cauchy sequence,
  • Common fixed point,
  • weakly compatible mappings,
  • Coincidence point