DOI: 10.3390/fractalfract7070565 ISSN: 2504-3110

Geraghty Type Contractions in Relational Metric Space with Applications to Fractional Differential Equations

Ahmed Alamer, Nidal H. E. Eljaneid, Musaad S. Aldhabani, Nifeen H. Altaweel, Faizan Ahmad Khan
  • Statistics and Probability
  • Statistical and Nonlinear Physics
  • Analysis

The present manuscript is devoted to investigating some existence and uniqueness results on fixed points by employing generalized contractions in the context of metric space endued with a weak class of transitive relation. Our results improve, modify, enrich and unify several existing fixed point theorems, The results proved in this study are utilized to find a unique solution of certain fractional boundary value problems.

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