Fixed Point Theorems in Dislocated Quasi Metric and Dislocated Quasi b-Metric Spaces

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  • Mujeeb Ur Rahman1,
  • Amjad Ali2,
  • Osama Aziz3,
  • Muhib Ur Rahman4,
  1. Department of Mathematics Jehanzeb College Swat Pakistan
  2. Department of Mathematics, University of Swat,Khyber PakhtunKhwa, Pakistan
  3. Ghulam Ishaq Institute of Science and Technology, Toppi Swabai, Khyber Pakhtunkhwa, Pakistan.
  4. Department of Electrical Engineering, Polytechnique, Montreal, Canada.

Published in Issue 2025-11-09

How to Cite

Fixed Point Theorems in Dislocated Quasi Metric and Dislocated Quasi b-Metric Spaces. (2025). Communications in Nonlinear Analysis, 12(1). https://oiccpress.com/cna/article/view/17874

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Abstract

In this paper, the concept of generalized contraction mapping has been used in investigating fixed point theorems. A fixed point theorem of integral type will be establish in the setting of dislocated quasi metric spaces using some new type of rational contraction conditions. Moreover, a fixed point theorem will be studied in the context of dislocated quasi b-metric spaces using the idea of generalized new contraction conditions. Several corollaries may be deduced from our established results, which generalize and extend several results of the literature. Also , our investigated results may be easily used in solving equations in non-linear analysis too.

Keywords

  • Dislocated quasi-metric spaces,
  • dislocated quasi b metric spaces,
  • self-mapping,
  • Cauchy sequence,
  • fixed point
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