• 제목/요약/키워드: common spaces

검색결과 573건 처리시간 0.026초

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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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].

공동주택 거주자의 공유공간 인식에 대한 조사 연구 (A Study on the Resident Recognition of Common Space in Apartment)

  • 한민승;황희준
    • 대한건축학회논문집:계획계
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    • 제35권4호
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    • pp.45-52
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    • 2019
  • The most ordinary form of residential type in Korea is a plate-type apartment, and the common space in these apartment is attracting as an important factor for enhancing social exchanges among neighbors and forming community consciousness. In addition, it provides a sense of psychological security by enabling natural exchanges and communication in contemporary society. It is desirable to plan the flow of space in such a way that private, semi-private, semi-public, and public spaces are linked. Semi-private and semi-public spaces can be defined as common spaces. Semi-private spaces are strongly recognized in the order of unit household entrance, main entrance, elevator, corridor, staircase, playground, bench, trail, walkway and parking lot, exercise space, main/back gate, the ability to gratify is increased sense of belonging, ownership consciousness formation, defensive function. Semi-public space is strongly recognized in the order of playground, bench, exercise space, trail, main entrance, walkway and parking lot, unit household entrance, main/back gate, corridor, staircase, elevator, the ability to gratify is increase of social contact, Secondary activity space function. In addition, the function to gratify in the common space differs according to gender and age group among resident characteristics, and differs according to corridor type, parking lot type and main entrance type. Therefore, differentiated planning of common space is needed in consideration of these differences in the design of common space in future.

A COMMON FIXED POINT THEOREM IN AN M*-METRIC SPACE AND AN APPLICATION

  • Gharib, Gharib M.;Malkawi, Abed Al-Rahman M.;Rabaiah, Ayat M.;Shatanawi, Wasfi A.;Alsauodi, Maha S.
    • Nonlinear Functional Analysis and Applications
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    • 제27권2호
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    • pp.289-308
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    • 2022
  • In this paper, we introduce the concept of M*-metric spaces and how much the M*-metric and the b-metric spaces are related. Moreover, we introduce some ways of generating M*-metric spaces. Also, we investigate some types of convergence associated with M*-metric spaces. Some common fixed point for contraction and generalized contraction mappings in M*-metric spaces. Our work has been supported by many examples and an application.

COMMON FIXED POINT THEOREMS WITHOUT CONTINUITY AND COMPATIBILITY IN INTUITIONISTIC FUZZY METRIC SPACE

  • Park, Jong-Seo
    • 호남수학학술지
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    • 제33권2호
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    • pp.143-152
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    • 2011
  • In this paper, we prove some common fixed point theorems for finite number of discontinuous, non-compatible mapping on non-complete intuitionistic fuzzy metric spaces and obtain the example. Our research improve, extend and generalize several known results in intuitionistic fuzzy metric spaces.

COMMON FIXED POINT THEOREM AND INVARIANT APPROXIMATION IN COMPLETE LINEAR METRIC SPACES

  • Nashine, Hemant Kumar
    • East Asian mathematical journal
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    • 제28권5호
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    • pp.533-541
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    • 2012
  • A common fixed point result of Gregus type for subcompatible mappings defined on a complete linear metric space is obtained. The considered underlying space is generalized from Banach space to complete linear metric spaces, which include Banach space and complete metrizable locally convex spaces. Invariant approximation results have also been determined as its application.

FIXED POINT THEOREMS FOR SIX WEAKLY COMPATIBLE MAPPINGS IN $D^*$-METRIC SPACES

  • Sedghi, Shaban;Khan, M. S.;Shobe, Nabi
    • Journal of applied mathematics & informatics
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    • 제27권1_2호
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    • pp.351-363
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    • 2009
  • In this paper, we give some new definitions of $D^*$-metric spaces and we prove a common fixed point theorem for six mappings under the condition of weakly compatible mappings in complete $D^*$-metric spaces. We get some improved versions of several fixed point theorems in complete $D^*$-metric spaces.

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CONVERGENCE OF A NEW MULTISTEP ITERATION IN CONVEX CONE METRIC SPACES

  • Gunduz, Birol
    • 대한수학회논문집
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    • 제32권1호
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    • pp.39-46
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    • 2017
  • In this paper, we propose a new multistep iteration for a finite family of asymptotically quasi-nonexpansive mappings in convex cone metric spaces. Then we show that our iteration converges to a common fixed point of this class of mappings under suitable conditions. Our result generalizes the corresponding result of Lee [5] from the closed convex subset of a convex cone metric space to whole space.

TWO KINDS OF CONVERGENCES IN HYPERBOLIC SPACES IN THREE-STEP ITERATIVE SCHEMES

  • Kim, Seung Hyun;Kang, Mee Kwang
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제28권1호
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    • pp.61-69
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    • 2021
  • In this paper, we introduce a new three-step iterative scheme for three finite families of nonexpansive mappings in hyperbolic spaces. And, we establish a strong convergence and a ∆-convergence of a given iterative scheme to a common fixed point for three finite families of nonexpansive mappings in hyperbolic spaces. Our results generalize and unify the several main results of [1, 4, 5, 9].