• Korean Journal of Mathematics
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• v.32 no.1
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• pp.121-135
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• 2024

In this paper, we have presented rough ideal statistical convergence of sequence on neutrosophic normed spaces as a significant convergence criterion. As neutrosophication can handle partially dependent components, partially independent components and even independent components involved in real-world problems. By examining some properties related to rough ideal convergence in these spaces we have established some equivalent conditions on the set of ideal statistical limit points for rough ideal statistically convergent sequences.

• KIEAE Journal
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• v.16 no.4
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• pp.55-62
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• 2016

Purpose: Since the 19th century many concrete models and theories for the ideal city had been proposed and in some way had affected on the ideal urban plans in the 20th century. Modern cities in the 20th century faced a total chaos, due to the world war and new social paradigm came from the development of technology. These social context leads us to be interested in ideal city. And two planned cities; Chandigarh, India and Brasilia, Brasil, are meaningful as the result of the modern ideal city in the early 20th century even though they completed just in part. Method: This study is focused on the characteristics of the modern ideal city in the early 20th century based on comparison with two realized cities. There are similarities and differences in their background, concept, and the characteristics of form and space. Result: First, both cities are required to make monumental and symbolic images by political issues. For this, Le Corbusier proposed the grid system for a metaphorical city and L. Costa defined the urban form with abstract axis for a mythological city. Second, the administrative districts in both cities are planned as symbolic places by formative buildings and their hierarchical arrangement. For neighbourhood unit 'Sector' in Chandigarh and 'Superquadras' in Brasilia are used for the neighbourhood unit respectively. Third, the car-oriented road system and urban environment by population overcrowding in tow cities are criticized in common. Consequently, as we can see, the modern ideal city in the early 20th century succeeds in making symbolic urban image, but exposes the limitation of sustainability.

• Imaging Science in Dentistry
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• v.53 no.3
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• pp.267-267
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• 2023

• Parasites, Hosts and Diseases
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• v.61 no.3
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• pp.338-339
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• 2023

• Journal of Ginseng Research
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• v.47 no.6
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• pp.685-685
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• 2023

• Journal of Korean Neurosurgical Society
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• v.67 no.4
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• pp.483-484
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• 2024

• Korean Journal of Radiology
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• v.24 no.6
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• pp.599-599
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• 2023

• Dementia and Neurocognitive Disorders
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• v.22 no.3
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• pp.112-113
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• 2023

• Korean Journal of Mathematics
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• v.30 no.4
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• pp.603-614
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• 2022

The main intent of this paper is to prove an existence and uniqueness fixed point result under Geraghty contractions in b-metric-like spaces, which remains an extended version of corresponding results in b-metric spaces and metriclike spaces. Using two types of Geraghty contractions, an approach is adopted to verify some fixed point results in b-metric-like spaces. Our main result is an extension of an earlier result given by Geraghty in b-metric-like-space. An example is also provided to demonstrate the validity of our main result. Moreover, as an application of our main result, the existence of solution of a Fredholm integral equation is established which may further be utilized to study the seismic response of dams during earthquakes.

• Honam Mathematical Journal
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• v.44 no.2
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• pp.179-194
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• 2022

In the present study, we investigate generic lightlike submanifolds of indefinite nearly Kaehler manifolds. After proving the existence of generic lightlike submanifolds in an indefinite generalized complex space form, a non-trivial example of this class of submanifolds is discussed. Then, we find a characterization theorem enabling the induced connection on a generic lightlike submanifold to be a metric connection. We also derive some conditions for the integrability of distributions defined on generic lightlike submanifolds. Further, we discuss the non-existence of mixed geodesic generic lightlike submanifolds in a generalized complex space form. Finally, we investigate totally umbilical generic lightlike submanifolds and minimal generic lightlike submanifolds of an indefinite nearly Kaehler manifold.