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Double Controlled Quasi-Metric Type Spaces and Some Results

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  • Abdullah Shoaib
  • Sabeena Kazi
  • Asifa Tassaddiq
  • Shaif S. Alshoraify
  • Tahair Rasham

Abstract

Abdeljawad et al. (2018) introduced a new concept, named double controlled metric type spaces, as a generalization of the notion of extended b -metric spaces. In this paper, we extend their concept and introduce the concept of double controlled quasi-metric type spaces with two incomparable functions and prove some unique fixed point results involving new types of contraction conditions. Also, we introduce the concept of double controlled contraction and prove some related fixed point results. We give several examples to show that our results are the proper generalization of the existing works.

Suggested Citation

  • Abdullah Shoaib & Sabeena Kazi & Asifa Tassaddiq & Shaif S. Alshoraify & Tahair Rasham, 2020. "Double Controlled Quasi-Metric Type Spaces and Some Results," Complexity, Hindawi, vol. 2020, pages 1-8, July.
    • Handle: RePEc:hin:complx:3460938
    DOI: 10.1155/2020/3460938
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