• Title/Summary/Keyword: Common point

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SOME NEW APPLICATIONS OF S-METRIC SPACES BY WEAKLY COMPATIBLE PAIRS WITH A LIMIT PROPERTY

  • Afra, J. Mojaradi;Sabbaghan, M.
    • The Pure and Applied Mathematics
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    • v.28 no.1
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    • pp.1-13
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    • 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.

Accelerated Tseng's Technique to Solve Cayley Inclusion Problem in Hilbert Spaces

  • Shamshad, Husain;Uqba, Rafat
    • Kyungpook Mathematical Journal
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    • v.62 no.4
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    • pp.673-687
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    • 2022
  • In this study, we solve the Cayley inclusion problem and the fixed point problem in real Hilbert space using Tseng's technique with inertial extrapolation in order to obtain more efficient results. We provide a strong convergence theorem to approximate a common solution to the Cayley inclusion problem and the fixed point problem under some appropriate assumptions. Finally, we present a numerical example that satisfies the problem and shows the computational performance of our suggested technique.

FIXED POINT THEOREM IN $\cal{L}^*_\cal{M}$-FUZZY METRIC SPACES FOR TWO MAPS

  • Kim, Jong-Kyu;Sedghi, S.;Shobe, N.
    • East Asian mathematical journal
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    • v.25 no.2
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    • pp.197-213
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    • 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.

FIXED POINT THEOREMS FOR A PAIR OF (α, η, ψ)-GERAGHTY CONTRACTION TYPE MAPS IN COMPLETE METRIC SPACES

  • P. Sudheer Kumar;G. V. V. Jagannadha Rao;R. Santhi Kumar;P. E. Satyanarayana
    • Nonlinear Functional Analysis and Applications
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    • v.29 no.1
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    • pp.57-67
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    • 2024
  • In this paper, we prove the existence of common fixed point for a pair of α-η-ψ-Geraghty contraction type maps in complete metric spaces using new type of α-admissible. These results extend and generalize some of the previously known results.

Effect of Socheongryong-tang on Punghan and Pungyeol Type Common Cold : A Double Blind, Placebo Controlled Study (풍한형 및 풍열형 감모에 대한 소청룡탕의 효과 - 이중맹검, 위약대조군연구)

  • Park, Yang-Chun
    • Journal of Physiology & Pathology in Korean Medicine
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    • v.19 no.2
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    • pp.524-529
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    • 2005
  • Socheongryong-tang(SCRT) is widely used to treat the common cold. The purpose of this study was to evaluate the efficacy of SCRT on Punghan type(風寒型) and Pungyeol type(風熱型) common cold. 98 registered students with commom colds of recent onset were randomized to the double blind, placebo-controlled study. SCRT extract in capsule, $5.4g(1.8g{\times}3cap)$, orally dissolved 3 times a day. The severity of illness was assessed by the physician, using a 5-point scale on start and finish. In Pungyeol type common cold, no statistically significant differences were detected between the SCRT and placebo groups for any of the measured outcomes. In Punghan type common cold, SCRT significantly reduced rhinorrhea (p=0.034) and nasal stuffiness (p=0.048) compared with placebo. This study shows that SCRT is effective in treating cold symptoms in Punghan type common cold. If patients with cold are able to be administered SCRT according to common cold type, the benefit would be expected to increase.

UTILIZING WEAK 𝜓 - 𝜑 CONTRACTION ON FUZZY METRIC SPACES

  • Amrish Handa
    • 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.

The Study on Park Designing for Users of Common Residential Room (공동주거 공간의 이용자 중심형 공원계획에 대한 연구)

  • Cho, Kyoung-Deuk
    • Journal of The Korean Digital Architecture Interior Association
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    • v.7 no.1
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    • pp.35-42
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    • 2007
  • Common residential environment is synthetic forms promote with organic organization of varied cultures and images. Users perceive and classify about these environments of feeling and atmosphere of each elements through their experiences and memories, not fixed point of view. In Korea, park designing of common residential room is in operation monotonously attach importance to economical efficiency without aesthetic structures, varied tries of materials, multiplicity, congruity of surrounding, and user-oriented plan. Recently, in policy of park designing has elements that obstruct to characteristic of environment because of applied to wrong guidelines which are end in investigation to model of an advanced countries'. In conclusion, this investigation shows improve on quality of park planning with the pivot of the matter is for users of common residential room. and park planning needs to multidimensional achieve.

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A Motion Correspondence Algorithm based on Point Series Similarity (점 계열 유사도에 기반한 모션 대응 알고리즘)

  • Eom, Ki-Yeol;Jung, Jae-Young;Kim, Moon-Hyun
    • Journal of KIISE:Software and Applications
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    • v.37 no.4
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    • pp.305-310
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    • 2010
  • In this paper, we propose a heuristic algorithm for motion correspondence based on a point series similarity. A point series is a sequence of points which are sorted in the ascending order of their x-coordinate values. The proposed algorithm clusters the points of a previous frame based on their local adjacency. For each group, we construct several potential point series by permuting the points in it, each of which is compared to the point series of the following frame in order to match the set of points through their similarity based on a proximity constraint. The longest common subsequence between two point series is used as global information to resolve the local ambiguity. Experimental results show an accuracy of more than 90% on two image sequences from the PETS 2009 and the CAVIAR data sets.

Hue-assisted automatic registration of color point clouds

  • Men, Hao;Pochiraju, Kishore
    • Journal of Computational Design and Engineering
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    • v.1 no.4
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    • pp.223-232
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    • 2014
  • This paper describes a variant of the extended Gaussian image based registration algorithm for point clouds with surface color information. The method correlates the distributions of surface normals for rotational alignment and grid occupancy for translational alignment with hue filters applied during the construction of surface normal histograms and occupancy grids. In this method, the size of the point cloud is reduced with a hue-based down sampling that is independent of the point sample density or local geometry. Experimental results show that use of the hue filters increases the registration speed and improves the registration accuracy. Coarse rigid transformations determined in this step enable fine alignment with dense, unfiltered point clouds or using Iterative Common Point (ICP) alignment techniques.