• Title/Summary/Keyword: ${\psi}$-type contractions

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𝜓-TYPE CONTRACTION AND JAGGI TYPE HYBRID CONTRACTION IN BIPOLAR METRIC SPACES

  • Jong Kyu Kim;Manoj Kumar;Pankaj
    • Nonlinear Functional Analysis and Applications
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    • v.28 no.3
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    • pp.703-717
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    • 2023
  • In this paper, we will introduce the notion of 𝜓-type and Jaggi type hybrid contraction in a bipolar metric space and show the existence and uniqueness of fixed point for such type of contractions. In the end, we will provide some corollaries and support our theorems by examples.

A COMMON FIXED POINT RESULT FOR A (${\psi}$, ${\varphi}$)-WEAK CONTRACTIVE CONDITION TYPE

  • Aydi, Hassen
    • Journal of applied mathematics & informatics
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    • v.30 no.5_6
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    • pp.809-820
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    • 2012
  • We establish a coincidence and a common fixed point result for four mappings involving a (${\psi}$, ${\varphi}$)-weak contractive condition type on a complete metric space. We take on ${\psi}$ and ${\varphi}$ the same conditions given by Popescu [Fixed points for (${\psi}$, ${\varphi}$)-weak contractions, Appl. Math. Lett. 24 (2011), 1-4].

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.