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THE REICH TYPE CONTRACTION IN A WEIGHTED bν(α)-METRIC SPACE

  • Pravin Singh;Shivani Singh;Virath Singh
    • Nonlinear Functional Analysis and Applications
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    • v.28 no.4
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    • pp.1087-1095
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    • 2023
  • In this paper, the concept of a weighted bν(α)-metric space is introduced as a generalization of the bν(s)-metric space and ν-metric space. We prove some fixed point results of the Reich-type contraction in the weighted bν(α)-metric space. Furthermore, we generalize Reich's theorem by extending the result to a weighted bν(α)-metric space.

Fingerprint Classification Based On the Entropy of Ridges (융선 엔트로피 계측을 이용한 지문 분류)

  • Park, Chang-Hee;Yoon, Kyung-Bae;Ko, Chang-Bae
    • The KIPS Transactions:PartB
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    • v.10B no.5
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    • pp.497-502
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    • 2003
  • Fingerprint classification plays a role of reduction of precise joining time and improvement of the accuracy in a large volume of database. Patterns of fingerprint are classified as 5 patterns : left loop, right loop, arch, whorl, and tented arch by numbers and the location of core point and delta point. The existing fingerprint classification is useful in a captured fingerprint image of core point and delta point using paper and ink. However, this system is unapplicable in modern Automatic Fingerprint Identification System (AFIS) because of problems such as size of input and way of input. To solve the problem, this study is to suggest the way of being able to improve accuracy of fingerprint by fingerprint classification based on the entropy of ridges using fingerprint captured mage of core point and prove this through the experiment.

EXISTENCE OF FIXED POINTS OF SET-VALUED MAPPINGS IN b-METRIC SPACES

  • Afshari, Hojjat;Aydi, Hassen;Karapinar, Erdal
    • East Asian mathematical journal
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    • v.32 no.3
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    • pp.319-332
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    • 2016
  • In this paper, we introduce the notion of generalized ${\alpha}-{\psi}$-Geraghty multivalued mappings and investigate the existence of a xed point of such multivalued mappings. We present a concrete example and an application on integral equations illustrating the obtained results.

UNIQUENESS OF SOLUTION FOR IMPULSIVE FRACTIONAL FUNCTIONAL DIFFERENTIAL EQUATION

  • Singhal, Sandeep;Uduman, Pattani Samsudeen Sehik
    • Communications of the Korean Mathematical Society
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    • v.33 no.1
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    • pp.171-177
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    • 2018
  • In this research paper considering a differential equation with impulsive effect and dependent delay and applied Banach fixed point theorem using the impulsive condition to the impulsive fractional functional differential equation of an order ${\alpha}{\in}(1,2)$ to get an uniqueness solution. At last, theorem is verified by using a numerical example to illustrate the uniqueness solution.

Hull Form Representation using a Hybrid Curve Approximation (혼합 곡선 근사법을 이용한 선형 표현)

  • Hyun-Cheol Kim;Kyung-Sun Lee;Soo-Young Kim
    • Journal of the Society of Naval Architects of Korea
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    • v.35 no.4
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    • pp.118-125
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    • 1998
  • This paper presents the hybrid curve approximation with geometric boundary conditions as position vector and tangent vector of start and end point using a B-spline approximation and a genetic algorithm First, H-spline approximation generates control points to fit B-spline curries through specified data points. Second, these control points are modified by genetic algorithm(with floating point representation) under geometric boundary conditions. This method would be able to execute the efficient design work without fairing.

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FIXED POINT THEOREMS FOR MӦNCH TYPE MAPS IN ABSTRACT CONVEX UNIFORM SPACES

  • Kim, Hoonjoo
    • Journal of the Chungcheong Mathematical Society
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    • v.34 no.4
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    • pp.345-353
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    • 2021
  • In this paper, first, we present new fixed point theorems for Mönch type multimaps on abstract convex uniform spaces and, also, a fixed point theorem for Mönch type multimaps in Hausdorff KKM L𝚪-spaces. Second, we show that Mönch type multimaps in the better admissible class defined on an L𝚪-space have fixed point properties whenever their ranges are Klee approximable. Finally, we obtain fixed point theorems on 𝔎ℭ-maps whose ranges are 𝚽-sets.

Traffic Sign Area Detection by using Color Rate and Distance Rate (컬러비와 거리비를 이용한 교통표지판 영역추출)

  • Kwak, Hyun-Wook;Lee, Woo-Beom;Kim, Wook-Hyun
    • The KIPS Transactions:PartB
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    • v.9B no.5
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    • pp.681-688
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    • 2002
  • This paper proposes a system detecting the area of traffic sign, which uses color rate as the information of colors, and corner point and distance rate as the information of morphology. In this system, a candidate area is extracted by performing dilation operation on the binary image made by the color rate of R, G, B components and by detecting corner point and center point through mask. The area of traffic sign with varied shapes is extracted by calculating the distance rate from center point, which is the information of morphology. The results of this experiment demonstrate that in this system which is invariable regardless of its size and location, it is possible to extract the exact area from varied traffic signs such as the shapes of triangle, circle, inverse triangle, and square as well as from the images at both day and night when brightness value is greatly different. Moreover, it demonstrates great accuracy and speed in processing.

Hangul Handwritten Character On-Line Recognition using Multilayer Perceptron (다층 퍼셉트론을 이용한 한글 필기체 온라인 인식)

  • 조정욱;이수영;박철훈
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.32B no.1
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    • pp.147-153
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    • 1995
  • In this paper, we propose the position- and size-independent handwritten on-line Korean character recognition system using multilayer neural networks which are trained with error back-propagation learning algorithm and the features of Hanguel consonants and vowels. Starting point, end point, and three vectors from starting point to end point of each stroke of characters inputted from mouse or tablet are applied as inputs of neural networks. If double consonants and vowels are separated by single consonants and vowels, all consonants and vowels have at most four strokes. Therefore, four neural networks learn the consonants and the vowels having each number of strokes. Also, we propose the algorithm of separating the consonants and vowels and constructing a character.

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COMMON n-TUPLED FIXED POINT FOR HYBRID PAIR OF MAPPINGS UNDER NEW CONTRACTIVE CONDITION

  • Deshpande, Bhavana;Handa, Amrish
    • The Pure and Applied Mathematics
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    • v.21 no.3
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    • pp.165-181
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    • 2014
  • We establish a common n-tupled fixed point theorem for hybrid pair of mappings under new contractive condition. It is to be noted that to find n-tupled coincidence point, we do not use the condition of continuity of any mapping involved. An example supporting to our result has also been cited. We improve, extend and generalize several known results.