• Title/Summary/Keyword: Fixed space

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COUPLED FIXED POINT THEOREMS OF SOME CONTRACTION MAPS OF INTEGRAL TYPE ON CONE METRIC SPACES OVER BANACH ALGEBRAS

  • Akewe, Hudson;Olilima, Joshua;Mogbademu, Adesanmi
    • Honam Mathematical Journal
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    • v.43 no.2
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    • pp.269-287
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    • 2021
  • In this paper, we prove some coupled fixed point theorems satisfying some generalized contractive condition in a cone metric space over a Banach algebra. We also applied the results obtained to show coupled fixed point of some contractive mapping of integral type.

A FIXED POINT THEOREM ON PARTIAL METRIC SPACES SATISFYING AN IMPLICIT RELATION

  • Chang Il Kim;Gil Jun Han
    • The Pure and Applied Mathematics
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    • v.30 no.1
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    • pp.25-34
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    • 2023
  • Popa [14] proved the common fixed point theorem using implicit relations. Saluja [17] proved a fixed point theorem on complete partial metric spaces satisfying an implicit relation. In this paper, we prove a fixed point theorem on complete partial metric space satisfying another implicit relation.

The Analysis of Classified Types of Furniture Design for Better Development in University Dormitory Units (대학기숙사 단위생활공간 내 가구디자인의 개선을 위한 유형별 실태조사)

  • Kim, Mi-Kyoung;Kim, Eun-Jeong
    • Korean Institute of Interior Design Journal
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    • v.24 no.1
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    • pp.169-177
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    • 2015
  • The study aimed to classify the types of domestic dormitory furniture, and analyze the characteristics of each furniture type based on the empirical research methodology. The study consisted of literature review and field visit followed by survey and in-depth interview. The researchers collected 140 images of furniture from the web sites of 87 universities. Using affinity diagram, the dormitory furniture was classified into four different types: single fixed type, single semi-fixed type, multi fixed type, and multi semi-fixed type. The finding showed that the use of single fixed type was dominant in the domestic dormitory room, which had competitive price and easy maintenance. Both single fixed type and multi fixed type turned out to be lack of storage space. Meanwhile, both single semi-fixed type and multi semi-fixed type got the high value on the space efficiency due to the multi function. However, these two types could only be applied to a wide space enough for the furniture to be transformed and extended. The study analyzed the main characteristics of the dormitory furniture according to the type classification, and it is expected that this empirical study could work as a medium and database for the upcoming dormitory furniture design studies.

A WEAK COMMON FIXED POINT THEOREM IN NORMED ALMOST LINEAR SPACES

  • Lee, Sang-Han
    • Journal of applied mathematics & informatics
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    • v.4 no.2
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    • pp.573-581
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    • 1997
  • In this paper we prove a weak common fixed point theo-rem in a normed almost linear space which is different from the result of S. P. Singh and B.A. Meade [9]. However for a Banach X our theorem is equal to the result of S. P. Singh and B. A. Meade.

COMMON FIXED POINT FOR WEAK COMPATIBLE MAPPINGS OF TYPE ($\alpha$) IN MENGER SPACES

  • Sharma, Sushil;Singh, Amardeep
    • East Asian mathematical journal
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    • v.23 no.1
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    • pp.123-133
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    • 2007
  • In this paper we prove common fixed point theorem for four mappings, under the condition of compatible mappings of type ($\alpha$) in Menger space, without taking any function continuous. We improve results of Pathak, Kang and Baek [13] and Cho, Murthy and Stojakovic [37].

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