• 제목/요약/키워드: common fixed point

검색결과 371건 처리시간 0.034초

Notes on common fixed point theorems in metric spaces

  • Kim, Kee-Hwan;Leem, Koung-Hee
    • 대한수학회논문집
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    • 제11권1호
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    • pp.109-115
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    • 1996
  • A number of authors have generalized contraction mapping theorems in metric spaces. In this paper, we give some common fixed point theorems related with the diameter of the orbit on metric spaces. We generalize the results of M. Ohta and G. Nikaido [6], also Taskovic [8].

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COMMON FIXED POINT THEOREMS FOR WEAKLY COMPATIBLE MAPPINGS WITHOUT CONTINUITY IN MENGER SPACES

  • Sharma, Sushil;Deshpande, Bhavana
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제10권2호
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    • pp.133-144
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    • 2003
  • The aim of this paper is to prove some common fixed point theorems for the class of compatible maps to larger class of weakly compatible maps without appeal to continuity in Monger spaces and we also give a set of alternative conditions in place of completeness of the space. We improve and extend the results of Dedeic & Sarapa [A common fixed point theorem for three mappings on Monger spaces. Math. Japon. 34 (1989), no. 6,919-923] and Rashwan & Hedar [On common fixed point theorems of compatible mappings in Monger spaces. Demonstratio Math. 31 (1998), no. 3, 537-546].

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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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    • 제31권1_2호
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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.

COINCIDENCE AND COMMON FIXED POINT THEOREMS FOR SINGLE-VALUED AND SET-VALUED MAPPINGS

  • Pant, Badri Datt;Samet, Bessem;Chauhan, Sunny
    • 대한수학회논문집
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    • 제27권4호
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    • pp.733-743
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    • 2012
  • In the present paper, we prove common fixed point theorems for single-valued and set-valued occasionally weakly compatible mappings in Menger spaces. Our results improve and extend the results of Chen and Chang [Chi-Ming Chen and Tong-Huei Chang, Common fixed point theorems in Menger spaces, Int. J. Math. Math. Sci. 2006 (2006), Article ID 75931, Pages 1-15].

A COMMON FIXED POINT THEOREM FOR T-CONTRACTIONS ON GENERALIZED CONE b-METRIC SPACES

  • Rangamma, Manhala;Reddy, Pagidi Mallikarjun
    • 대한수학회논문집
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    • 제32권1호
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    • pp.65-74
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    • 2017
  • In this paper, we establish a unique common fixed point theorem for T-contraction of two self maps on generalized cone b-metric spaces with solid cone. The result of this paper improves and generalizes several well-known results in the literature. Two examples are also given to support the result.

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

  • Aydi, Hassen
    • Journal of applied mathematics & informatics
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    • 제30권5_6호
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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 and Example for Type(β) Compatible Mappings with Implicit Relation in an Intuitionistic Fuzzy Metric Space

  • Park, Jong Seo
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제14권1호
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    • pp.66-72
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    • 2014
  • In this paper, we establish common fixed point theorem for type(${\beta}$) compatible four mappings with implicit relations defined on an intuitionistic fuzzy metric space. Also, we present the example of common fixed point satisfying the conditions of main theorem in an intuitionistic fuzzy metric space.