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The Jaggi– and Das–Gupta–Type Almost Contractions in Double Controlled Metric Space Endowed With a Binary Relation

Author

Listed:
  • Anil Jaglan
  • Vinod Bhatia
  • Pankaj Kumar
  • Sina Etemad

Abstract

In this paper, we introduced new notions of almost Jaggi– and Das–Gupta–type contractions in double controlled metric space endowed with binary relation. Then, we shall prove fixed point theorems for the mentioned contractions. Some examples are also provided to prove the validity of our results. As an application, a fractional differential equation with singular kernels is solved by making use of our discussed results.

Suggested Citation

  • Anil Jaglan & Vinod Bhatia & Pankaj Kumar & Sina Etemad, 2026. "The Jaggi– and Das–Gupta–Type Almost Contractions in Double Controlled Metric Space Endowed With a Binary Relation," Journal of Mathematics, Hindawi, vol. 2026, pages 1-16, August.
    • Handle: RePEc:hin:jjmath:1247604
    DOI: 10.1155/jom/1247604
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