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

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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.