• Title/Summary/Keyword: Contractive mappings of integral type

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A COMMON FIXED POINT THEOREM ON ORDERED PARTIAL S-METRIC SPACES AND APPLICATIONS

  • Soursouri, Sima;Shobkolaei, Nabi;Sedghi, Sahaban;Altun, Ishak
    • Korean Journal of Mathematics
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    • v.28 no.2
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    • pp.169-189
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    • 2020
  • A common fixed point result for weakly increasing mappings satisfying generalized contractive type in ordered partial S-metric spaces are derived. Also as an application of our results we consider a couple integral equations.to guarantee the existence of a common solution.

On ϑ-quasi-Geraghty Contractive Mappings and Application to Perturbed Volterra and Hypergeometric Operators

  • Olalekan Taofeek Wahab
    • Kyungpook Mathematical Journal
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    • v.63 no.1
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    • pp.45-60
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    • 2023
  • In this paper we suggest an enhanced Geraghty-type contractive mapping for examining the existence properties of classical nonlinear operators with or without prior degenerates. The nonlinear operators are proved to exist with the imposition of the Geraghty-type condition in a non-empty closed subset of complete metric spaces. To showcase some efficacies of the Geraghty-type condition, convergent rate and stability are deduced. The results are used to study some asymptotic properties of perturbed integral and hypergeometric operators. The results also extend and generalize some existing Geraghty-type conditions.