• Title/Summary/Keyword: contractive condition

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COMMON n-TUPLED FIXED POINT FOR HYBRID PAIR OF MAPPINGS UNDER NEW CONTRACTIVE CONDITION

  • Deshpande, Bhavana;Handa, Amrish
    • The Pure and Applied Mathematics
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    • v.21 no.3
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    • pp.165-181
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    • 2014
  • We establish a common n-tupled fixed point theorem for hybrid pair of mappings under new contractive condition. It is to be noted that to find n-tupled coincidence point, we do not use the condition of continuity of any mapping involved. An example supporting to our result has also been cited. We improve, extend and generalize several known results.

ON m-ISOMETRIC TOEPLITZ OPERATORS

  • Ko, Eungil;Lee, Jongrak
    • Bulletin of the Korean Mathematical Society
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    • v.55 no.2
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    • pp.367-378
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    • 2018
  • In this paper, we study m-isometric Toeplitz operators $T_{\varphi}$ with rational symbols. We characterize m-isometric Toeplitz operators $T_{\varphi}$ by properties of the rational symbols ${\varphi}$. In addition, we give a necessary and sufficient condition for Toeplitz operators $T_{\varphi}$ with analytic symbols ${\varphi}$ to be m-expansive or m-contractive. Finally, we give some results for m-expansive and m-contractive Toeplitz operators $T_{\varphi}$ with trigonometric polynomial symbols ${\varphi}$.

CONVERGENCE THEOREM FOR A GENERALIZED 𝜑-WEAKLY CONTRACTIVE NONSELF MAPPING IN METRICALLY CONVEX METRIC SPACES

  • Kim, Kyung Soo
    • Nonlinear Functional Analysis and Applications
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    • v.26 no.3
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    • pp.601-610
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    • 2021
  • A convergence theorem for a generalized 𝜑-weakly contractive mapping is proved which satisfy a generalized contraction condition on a complete metrically convex metric space. The result in this paper generalizes the relevant results due to Rhoades [18], Alber and Guerre-Delabriere [1], Khan and Imdad [14], Xue [20] and others. An illustrative example is also furnished in support of our main result.

COMMON FIXED POINT THEOREMS FOR HYBRID MAPS IN NON-ARCHIMEDEAN FUZZY METRIC SPACES

  • Samanta, T.K.;Mohinta, Sumit
    • Journal of applied mathematics & informatics
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    • v.31 no.1_2
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    • pp.155-164
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    • 2013
  • In this paper, we have established some common fixed point theorems for two pairs of occasionally weakly compatible hybrid maps sat-isfying a strict contractive condition in a non-archimedean fuzzy metric space. Our result extend, generalized and fuzzify several fixed point theo-rems on metric space.

COUPLED COMMON FIXED POINT THEOREMS FOR A CONTRACTIVE CONDITION OF RATIONAL TYPE IN ORDERED METRIC SPACES

  • Chandok, Sumit
    • Journal of applied mathematics & informatics
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    • v.31 no.5_6
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    • pp.643-649
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    • 2013
  • The purpose of this paper is to establish some coupled coincidence point theorems for a pair of mappings having a strict mixed g-monotone property satisfying a contractive condition of rational type in the framework of partially ordered metric spaces. Also, we present a result on the existence and uniqueness of coupled common fixed points. The results presented in the paper generalize and extend several well-known results in the literature.

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].

ITERATION PROCESSES WITH ERRORS FOR NONLINEAR EQUATIONS INVOLVING $\alpha$-STRONGLY ACCRETIVE OPERATORS IN BANACH SPACES

  • Jung, Jong-Soo
    • East Asian mathematical journal
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    • v.17 no.2
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    • pp.349-365
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    • 2001
  • Let X be a real Banach space and $A:X{\rightarrow}2^X$ be an $\alpha$-strongly accretive operator. It is proved that if the duality mapping J of X satisfies Condition (I) with additional conditions, then the Ishikawa and Mann iteration processes with errors converge strongly to the unique solution of operator equation $z{\in}Ax$. In addition, the convergence of the Ishikawa and Mann iteration processes with errors for $\alpha$-strongly pseudo-contractive operators is given.

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COMMON FIXED POINT THEOREMS OF MEIR-KEELER TYPE ON MULTIPLICATIVE METRIC SPACES

  • DESHPANDE, BHAVANA;SHEIKH, SAJAD AHMAD
    • The Pure and Applied Mathematics
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    • v.23 no.2
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    • pp.131-143
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    • 2016
  • In this paper, we present some common fixed point theorems for two pairs of weakly compatible self-mappings on multiplicative metric spaces satisfying a generalized Meir-Keeler type contractive condition. The results obtained in this paper extend, improve and generalize some well known comparable results in literature.