• The Pure and Applied Mathematics
• /
• v.22 no.2
• /
• pp.127-138
• /
• 2015

The object of this paper is to emphasize the role of 'common limit range property' and utilize the same with variants of R-weakly commuting mappings for the existence of common fixed point under strict contractive conditions in metric spaces. We also furnish some interesting examples to validate our main result. Our results improve a host of previously known results including the ones contained in Pant [Contractive conditions and common fixed points, Acta Math. Acad. Paedagog. Nyhàzi. (N.S.) 24(2) (2008), 257-266 MR2461637 (2009h:54061)]. In the process, we also derive a fixed point result satisfying $\phi$-contractive condition.

• Bulletin of the Korean Mathematical Society
• /
• v.52 no.3
• /
• pp.789-807
• /
• 2015

We propose coincidence and common fixed point results for a quadruple of self mappings satisfying common limit range property and weakly compatibility under generalized ${\Phi}$-contractive conditions i Non-Archimedean Menger PM-spaces. As examples we exhibit different types of situations where these conditions can be used. A common fixed point theorem for four finite families of self mappings is presented as an application of the proposed results. The existence and uniqueness of solutions for certain system of functional equations arising in dynamic programming are also presented as another application.

• Korean Institute of Interior Design Journal
• /
• v.16 no.5
• /
• pp.55-62
• /
• 2007

Modern public library is expanding its role as generalized cultural facility. Therefore public library that has comfortable and physical environment for various age and various users are needed. The purpose of this research is to evaluate the application of universal design in common space of public library, and trying to suggest environmental improvement plan that various users could comfortably use the library based on its data. The scope of this research were adjusted as 8 public libraries located in Seoul and metropolitan area of Seoul. Spacial scope that was set of this research was common space of public library and scope of content was about application of universal design. As a result of the research, first, the application of universal design toward common space of public library were appeared as low. Second, constant management and application development of universal design is needed. Third, as roles and functions of public library become various from now on, application of delicate universal design is needed for intention of users.

• Korean Journal of Mathematics
• /
• v.32 no.3
• /
• pp.561-591
• /
• 2024

In this article, we demonstrate the conditions for the existence of common fixed points (CFP) theorems for four self-maps satisfying the common limit range (CLR)-property on cone b-normed spaces (CbNS) via ℭ-class functions. Furthermore, we have a unique common fixed point for two weakly compatible (WC) pairings. Towards the end, the existence and uniqueness of common solutions for systems of functional equations arising in dynamic programming are discussed as an application of our main result.

• Korean Institute of Interior Design Journal
• /
• v.18 no.5
• /
• pp.200-210
• /
• 2009

The Sign system of nursing home plays an important role when an elderly adapts to new environment and gets on daily life autonomously. Common living spaces are expecially important in maintaining social nature, adequate signage should be installed to aid them in finding their ways. Sign system is a comprehensive system consisted of various factors. In this research, it has been categorized as signage and cueing. Signage includes text and graphic signs, and cueing consists of floor plan configuration and sensual mechanism of visual, auditory, olfactory senses. Using this framework, held investigation and analysis were held in common area(shared living room, shared dining room, toilet) of 14 Korean, 8 Northern European, and 10 Japanese nursing home facilities. The result revealed that even though sign system should work as a combined unit, each factor was planed without relations to each other and did not perform mutually complementary role. Signage was installed too high, without considering the posture of elderly. Korean facilities used abundant and diverse signage compared to other countries. Japanese nursing home preferred cueing method over signage, and those of Northern Europe used plentiful visual cues such as color and ornaments.

• East Asian mathematical journal
• /
• v.32 no.5
• /
• pp.677-684
• /
• 2016

In this paper, the notion of S-metric spaces will be introduced. We present some fixed point theorems for two maps on complete S-metric spaces and an illustrative example is given for the single-valued case. By using the similar method as in [4], a common fixed point theorem for two single-valued mappings is obtained in S-metric spaces.

• The Pure and Applied Mathematics
• /
• v.28 no.1
• /
• pp.1-13
• /
• 2021

In this note we use a generalization of coincidence point(a property which was defined by [1] in symmetric spaces) to prove common fixed point theorem on S-metric spaces for weakly compatible maps. Also the results are used to achieve the solution of an integral equation and the bounded solution of a functional equation in dynamic programming.

• East Asian mathematical journal
• /
• v.25 no.2
• /
• pp.197-213
• /
• 2009

In this paper, we give some new denitions of $\cal{L}^*_\cal{M}$-fuzzy metric spaces and we prove a common xed point theorem for two mappings in complete $\cal{L}^*_\cal{M}$-fuzzy metric spaces. We get some improved versions of several xed point theorems in complete $\cal{L}^*_\cal{M}$-fuzzy metric spaces.

• Bulletin of the Korean Mathematical Society
• /
• v.36 no.3
• /
• pp.565-578
• /
• 1999

In this paper some common fixed point theorems for pairs of condensing mappings in a Banach space are proved and applications are given to a pair of nonlinear first order ordinary differential equations in Banach spaces for proving the existence of common solution under suitable conditions.

• Journal of applied mathematics & informatics
• /
• v.20 no.1_2
• /
• pp.523-533
• /
• 2006

In this paper we have a common fixed point theorem which is a generalization of result of [12] and we characterize the conditions for continuous self mappings S, T of complete fuzzy metric space (X, M, *) have a uniqe common fixed point in X.