• Journal of the Korean Mathematical Society
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• v.54 no.6
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• pp.1905-1926
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• 2017

In this paper we introduce a new iterative method by the combination of the prox-Tikhonov regularization and the alternating resolvents for finding a common zero of two accretive operators in Banach spaces. And we will give some applications and numerical examples. The results of this paper improve and extend the corresponding results announced by many others.

• East Asian mathematical journal
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• v.26 no.5
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• pp.693-702
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• 2010

We study one-step iteration process to approximate common fixed points of two nonexpansive mappings and prove some convergence theorems in convex metric spaces. Using the so-called condition (A'), the convergence of iteratively defined sequences in a uniformly convex metric space is also obtained.

• East Asian mathematical journal
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• v.29 no.1
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• pp.23-37
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• 2013

The purpose of this paper is to study an implicit iteration process with errors and establish weak and strong convergence theorems to converge to common fixed points for a finite family of generalized asymptotically quasi-nonexpansive mappings in the framework of uniformly convex Banach spaces. Our results extend, improve and generalize some known results from the existing literature.

• Nonlinear Functional Analysis and Applications
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• v.26 no.4
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• pp.685-700
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• 2021

In this paper, we discuss the existence and uniqueness of fixed point and common fixed point theorems in complex valued extended b-metric spaces for a pair of mappings satisfying some rational contraction conditions which generalized and unify some well-known results in the literature.

• Nonlinear Functional Analysis and Applications
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• v.28 no.1
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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.

• Journal of applied mathematics & informatics
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• v.30 no.5_6
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• pp.729-740
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• 2012

In this paper, we prove common fixed point theorems for occasionally weakly compatible maps in Menger spaces with a continuous t-norm of H-type. As application to our results, we obtain the corresponding fixed point theorems in metric spaces. Our results improve and generalize many known results in Menger spaces as well as in metric spaces.

• Journal of the Korean Institute of Educational Facilities
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• v.11 no.6
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• pp.43-53
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• 2004

The future society, a knowledge and information society and at the same time a lifelong learning society, may be defined as the society that will embody the concept of human nature to help all the members of the society live together. The conclusions on the analysis of the types of classrooms $vis-\grave{a}-vis$ the special skills and aptitude training for students, lifelong education programs, and direction of spaces with free access after school hours are as follows : The spaces for school facilities in each domain are elaborated in Table 5. and Table 6. For spaces for special skills, aptitude programs, and lifelong education programs, there are general lecture rooms, special classrooms, and arts and physical fitness classrooms since most of the educational programs consist of culture, jobs, and hobby-related activities. Spaces are divided further into those exclusively for specific subjects and those for common use that can be utilized after school hours. They are presented in Table 8. Based on the conclusion with respect to the laying out of spaces in regular high schools, exclusive spaces for each subject and spaces for common use after school hours should be separately arranged.

• Journal of Families and Better Life
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• v.22 no.6 s.72
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• pp.133-142
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• 2004

The purpose of this study was to investigate the spatial composition characteristics of elderly housing facilities in Korea, in order to refer them in establishing the basic plan for elderly housing in Korea. The case study performed in this study from October 16 to October 31 is based on ten housing facilities for the elderly in KOREA. During the site visits, the interview with the custodians, survey of the space, picture taking and diagram gathering were carried out. The results of this study were as follows; 1. The type of floor plan was classified into ㅁ type, L type, and ㅡ type. And they hadn't an outside space called a garden(courtyard). 2. The kinds of common spaces could be grouped as the space for basic living, for leisure, and for convenient living. Also it was all common that the housing facility had common diningroom laundry room once, and activity room. The type of the common spaces was categorized into three types, the centralized type where the shared space was located at the center of the housing facilities, the distributed type, depending on the degree of separation between common spaces and units, and another each building type. 3. The kinds of units was classified into studio, oneroom, one bedroom and two bedroom. 4. Elevator, safety grab bar, emergency bell, and the door handle of lever or bar type were placed in these facilities.

• Proceeding of Spring/Autumn Annual Conference of KHA
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• 1995.10a
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• pp.77-83
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• 1995

This study explores the patterns of housing-related attitudes and the kind of needs for shared community spaces among small-sized apartment housing dwellers. The major findings are as follows. The majority of the dwellers are in strong need of common spaces, especially for children's activities, Social gathering and physical exercises. Housing-related attitudes are found and grouped into 4categories the propensity to making up common society, the propensity to pursuing the quality of neighborhood, the propensity to orienting natural environment, and the propensity to participating in community. The intensity of the needs depends on family lifecycle, employment status of housewives, and the size of floor space. The propensity to making up common society and pursing the quality of neighborhood have stronger impact on needs of shared community space. This study reveals that the sense of community orientation is the most powerful predictor variable for shared community space needs .

• The Pure and Applied Mathematics
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• v.18 no.3
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• pp.201-217
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• 2011

The aim of this paper is to define a new commutativity condition for a pair of self mappings i.e., (DS)-weak commutativity condition, which is weaker that compatibility of mappings in the settings of intuitionistic Menger spaces. We show that a common fixed point theorem can be proved for nonlinear contractive condition in intuitionistic Menger spaces without assuming continuity of any mapping. To prove the result we use (DS)-weak commutativity condition for mappings. We also give examples to validate our results.