• 제목/요약/키워드: Common point

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Fixed Point Theorems for Weakly Compatible Functions using (JCLR) Property in Intuitionistic Fuzzy Metric Space

  • Park, Jong Seo
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제12권4호
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    • pp.296-299
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    • 2012
  • In this paper, we give definitions for common limit in the range property of mappings and obtain common fixed point theorem for a pair of weakly compatible functions in intuitionistic fuzzy metric space using the joint common limit in the range property of mappings(shortly, (JCLR) property). Our results improve and generalize results of Chauhan et al[1].

COMMON FIXED POINTS OF WEAK-COMPATIBLE MAPS ON D-METRIC SPACE

  • Singh, Bijendra;Jain, Shobha
    • 충청수학회지
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    • 제17권2호
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    • pp.111-124
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    • 2004
  • In [4], Dhage proved a result for common fixed point of two self-maps satisfying a contractive condition in D-metric spaces. This note proves a fixed point theorem for five self-maps under weak-compatibility in D-metric space which improves and generalizes the above mentioned result.

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COMMON FIXED POINT THEOREMS FOR FINITE NUMBER OF MAPPINGS WITHOUT CONTINUITY AND COMPATIBILITY IN MENGER SPACES

  • Sharma, Sushil;Deshpande, Bhavana;Tiwari, Rashmi
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제15권2호
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    • pp.135-151
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    • 2008
  • The purpose of this paper is to prove some common fixed point theorems for finite number of discontinuous, noncompatible mappings on non complete Menger spaces. Our results extend, improve and generalize several known results in Menger spaces. We give formulas for total number of commutativity conditions for finite number of mappings.

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ON COMMON FIXED POINT THEOREMS OF WEAKLY COMPATIBLE MAPPINGS SATISFYING CONTRACTIVE INEQUALITIES OF INTEGRAL TYPE

  • Feng, Chi;Liu, Na;Shim, Soo Hak;Jung, Chahn Yong
    • Nonlinear Functional Analysis and Applications
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    • 제26권2호
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    • pp.393-409
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    • 2021
  • Three common fixed point theorems for weakly compatible mappings satisfying three classes of contractive inequalities of integral type are proved. Three examples are included. The results obtained in this paper extend and improve a few results existing in literature.

FIXED POINT THEOREMS IN ORDERED b-METRIC SPACES WITH ALTERNATING DISTANCE FUNCTIONS

  • Bouhafs, Radia;Tallafha, Abdalla Ahmed;Shatanawi, Wasfi
    • Nonlinear Functional Analysis and Applications
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    • 제26권3호
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    • pp.581-600
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    • 2021
  • In this paper we obtain a unique common fixed point theorem for four self-maps which are involved in (𝜙, 𝜓)-weak contraction of a partially ordered b-metric space. The necessary condition has been given to a space for the existence of an unique common fixed of the maps. And our work changed conditions and nonlinear contraction, and search for the unique common fixed point of the maps.

GENERALIZED INTEGRAL TYPE F-CONTRACTION IN PARTIAL METRIC SPACES AND COMMON FIXED POINT

  • G. S. Saluja;Ho Geun Hyun;Jong Kyu Kim
    • Nonlinear Functional Analysis and Applications
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    • 제28권1호
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    • pp.107-121
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    • 2023
  • In this work, we study generalized integral type F-contractions in partial metric spaces and establish some common fixed point theorems. Also, we give some consequences of the established result. Our results extend and generalize several results from the existing literature.

TWO SUBRAHMANYAM TYPE OF COMMON FIXED POINT THEOREMS IN COMPLETE METRIC SPACES

  • Seung Hyun Kim;Mee Kwang Kang
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제31권1호
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    • pp.21-32
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    • 2024
  • In this paper, we introduce new types of weakly Picard operators being available to a much wider class of maps, and prove common fixed point theorems of Subrahmanyam type for two these weakly Picard operators in the collection of single-valued and multi-valued mappings in complete metric spaces. Our results extend and generalize the corresponding fixed point theorems in the literature [3, 6].