• Title/Summary/Keyword: (${\phi}$, ${\psi}$)- weak contraction

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COINCIDENCE POINT RESULTS FOR (𝜙, 𝜓)-WEAK CONTRACTIVE MAPPINGS IN CONE 2-METRIC SPACES

  • Islam, Ziaul;Sarwar, Muhammad;Tunc, Cemil
    • Honam Mathematical Journal
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    • v.43 no.2
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    • pp.305-323
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    • 2021
  • In the present paper, utilizing (𝜙, 𝜓)-weak contractive conditions, unique fixed point and some coincidence point results have been studied in the context of cone 2- metric spaces. Also, our obtained results generalize some results from cone metric space to cone 2-metric space. For the authenticity of the presented work, a non trivial example is also provided.

UTILIZING WEAK 𝜓 - 𝜑 CONTRACTION ON FUZZY METRIC SPACES

  • Amrish Handa
    • The Pure and Applied Mathematics
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    • v.30 no.3
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    • pp.309-336
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    • 2023
  • We establish some common fixed point theorems satisfying weak ψ - ϕ contraction on partially ordered non-Archimedean fuzzy metric spaces. By using this results we show the existence of fixed point on the domain of words and apply this approach to deduce the existence of solution for some recurrence equations associated to the analysis of Quicksort algorithms and divide and Conquer algorithms, respectively and also give an example to show the usefulness of our hypothesis. Our results generalize, extend and improve several well-known results of the existing literature in fixed point theory.

COMMON FIXED POINT THEOREMS UNDER GENERALIZED (ψ - ϕ)-WEAK CONTRACTIONS IN S-METRIC SPACES WITH APPLICATIONS

  • Saluja, G.S.;Kim, J.K.;Lim, W.H.
    • Nonlinear Functional Analysis and Applications
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    • v.26 no.1
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    • pp.13-33
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    • 2021
  • The aim of this paper is to establish common fixed point theorems under generalized (ψ - ϕ)-weak contractions in the setting of complete S-metric spaces and we support our result by some examples. Also an application of our results, we obtain some fixed point theorems of integral type. Our results extend Theorem 2.1 and 2.2 of Doric [5], Theorem 2.1 of Dutta and Choudhury [6], and many other several results from the existing literature.