• Nonlinear Functional Analysis and Applications
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• v.26 no.2
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• pp.289-301
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• 2021

In this research, we interpret the notion of a b-cyclic (𝚽, C, D)-contraction for the pair (g, S) of self-mappings on the set Y. We employ our definition to introduce some common fixed point theorems for the two mappings g and S under a set of conditions. Also we introduce an example to support our results.

• Nonlinear Functional Analysis and Applications
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• v.26 no.4
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• pp.663-684
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• 2021

In this paper, we present some fixed point results for a general class of nonexpansive mappings in the framework of Banach space and also proposed a new iterative scheme for approximating the fixed point of this class of mappings in the frame work of uniformly convex Banach spaces. Furthermore, we establish some basic properties and convergence results for our new class of mappings in uniformly convex Banach spaces. Finally, we present an application to nonlinear integral equation and also, a numerical example to illustrate our main result and then display the efficiency of the proposed algorithm compared to different iterative algorithms in the literature with different choices of parameters and initial guesses. The results obtained in this paper improve, extend and unify some related results in the literature.

• Communications of the Korean Mathematical Society
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• v.37 no.4
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• pp.1147-1170
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• 2022

In this paper, we introduce a new class of mappings called the generalized orthogonal F-Suzuki contraction for a family of multivalued mappings in the setup of orthogonal b-metric spaces. We established the existence of some common fixed point results without using any commutativity condition for this new class of mappings in orthogonal b-metric spaces. Moreover, we illustrate and support these common fixed point results with example. The results obtained in this work generalize and extend some recent and classical related results in the existing literature.

• Nonlinear Functional Analysis and Applications
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• v.28 no.1
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• pp.251-263
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• 2023

In the setting of extended quasi b-metric spaces, we introduce a new concept called "extended A-contraction". We then use our concept to prove a common fixed point result for a pair of self mappings under a set of conditions. Also, we provide the concepts of extended B-contraction and extended R-contraction. We then establish a common fixed point under these new contractions. Our results generalize many existing result of fixed point in metric spaces. Furthermore, we give an example to illustrate and support our result.

• The Pure and Applied Mathematics
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• v.30 no.3
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• pp.309-336
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• 2023

We establish some common fixed point theorems satisfying weak ψ - ϕ contraction on partially ordered non-Archimedean fuzzy metric spaces. By using this results we show the existence of fixed point on the domain of words and apply this approach to deduce the existence of solution for some recurrence equations associated to the analysis of Quicksort algorithms and divide and Conquer algorithms, respectively and also give an example to show the usefulness of our hypothesis. Our results generalize, extend and improve several well-known results of the existing literature in fixed point theory.

• Nonlinear Functional Analysis and Applications
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• v.28 no.3
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• pp.623-646
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• 2023

In this article, we introduce the hyperbolic space version of a faster iterative algorithm. The proposed iterative algorithm is used to approximate the common fixed point of three multi-valued almost contraction mappings and three multi-valued mappings satisfying condition (E) in hyperbolic spaces. The concepts weak w²-stability involving three multi-valued almost contraction mappings are considered. Several strong and △-convergence theorems of the suggested algorithm are proved in hyperbolic spaces. We provide an example to compare the performance of the proposed method with some well-known methods in the literature.

• Journal of the Korean Institute of Landscape Architecture
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• v.30 no.4
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• pp.74-81
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• 2002

Ihis landscape design was proposed for the Remodeling for the National Theater of Korea Competition. Today, the National Theater of Korea, located in Jangchoongfong, Joong-gu, Seoul, asks plans for renovation. The landscape design for the remodeling of the theater is conducted as part of comprehensive programs for its renovation. The Government sought design proposals through a design competition in April, 2002. The authors proposed a landscape design for remodeling the National Theater of Korea and won first place in the competition. The landscape design covers the following a survey of the present status, a site analysis, a schematic design, and design, development. In the authors'design, heavens, humans, earth and nature are symbolically expressed within the site. The outdoor spaces of the National Theater of Korea are organically composed of the following low spaces : 1) a field of creation; 2) a field of recreation; 3) a field of meeting; and 4) a field of contemplation. The field of creation consists of a main entrance, spaces for public performance and plays, spaces with symbolic water features, and resting areas. The field of recreation is composed of various exhibition spaces. The field of meeting consists of traditional Korean-style gardens and an outdoor cafeteria. The field of contemplation features lawns, grasses and trees, and provides an area for pedestrian strolling. The outdoor spaces of the National Theater of Korea would produce an atmosphere suited to a cultural and artistic place. In the spaces, people would perceive a unique sense of place through various types of fountains, pergolas, columns, walls, light poles and bollards. An example of the true meaning of a cultural space and a resting place is provided in these spaces. The renovated National Theater of Korea would be a new type of theater with regional context, cultural meaning, spatial identity, various amenities with symbolic images, function and beauty.

• Journal of the Economic Geographical Society of Korea
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• v.26 no.4
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• pp.443-457
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• 2023

This study aims to provide methods and policy implications for vitalizing the regional regeneration of local small cities through utilizing idle spaces, with Hongcheon-gun as a case. Hongcheon-gun has been changed into cultural and art space since it was selected as the venue of Gangwon Triennales, and it is an example region that vitalized local areas by utilizing idle spaces on the basis of its placeness and characteristics. For the effective future utilization of idle spaces and regional regeneration, however, first, the survey of local resources is required for the systematic management and utilization of idle spaces. Second, foundations for the management and operation of idle spaces should be constructed. Third, methods for utilization should be sought in consideration of the characteristics of idle spaces and local conditions. Fourth, connected projects should be vitalized in consideration of possibilities for the regeneration and utilization of idle spaces.

• Communications of the Korean Mathematical Society
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• v.21 no.3
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• pp.527-532
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• 2006

In this paper, we construct an example of a normal centered-Lindelof space X such that $St-l(X){\geq}{\omega}1\;under\;2^{\aleph_0}=2^{\aleph_1}$

• Journal of applied mathematics & informatics
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• v.9 no.2
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• pp.753-759
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• 2002

In this paper, sufficient conditions for the controllability of stochastic integrodifferential systems in Banach spaces are established. The results are obtained by using a fixed point theorem. An example is provided to illustrate the theory.