• Title/Summary/Keyword: K-point

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FIXED POINT THEOREMS, SECTION PROPERTIES AND MINIMAX INEQUALITIES ON K-G-CONVEX SPACES

  • Balaj, Mircea
    • Journal of the Korean Mathematical Society
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    • v.39 no.3
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    • pp.387-395
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    • 2002
  • In [11] Kim obtained fixed point theorems for maps defined on some “locally G-convex”subsets of a generalized convex space. Theorem 2 in Kim's article determines us to introduce, in this paper, the notion of K-G-convex space. In this framework we obtain fixed point theorems, section properties and minimax inequalities.

A COMMON FIXED POINT THEOREM ON ORDERED PARTIAL S-METRIC SPACES AND APPLICATIONS

  • Soursouri, Sima;Shobkolaei, Nabi;Sedghi, Sahaban;Altun, Ishak
    • Korean Journal of Mathematics
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    • v.28 no.2
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    • pp.169-189
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    • 2020
  • A common fixed point result for weakly increasing mappings satisfying generalized contractive type in ordered partial S-metric spaces are derived. Also as an application of our results we consider a couple integral equations.to guarantee the existence of a common solution.

EXISTENCE OF SOLUTIONS FOR THREE-POINT BOUNDARY VALUE PROBLEM AT RESONANCE

  • Zhang, Huixing;Liu, Wenbin;Zhang, Jianjun;Chen, Taiyong
    • Journal of applied mathematics & informatics
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    • v.27 no.5_6
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    • pp.1257-1264
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    • 2009
  • In this paper, we study the existence of solutions for three-point boundary value problem at resonance by using the continuation theorem of Mawhin. Some known results are improved.

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COMMON FIXED POINT THEOREMS WITH APPLICATIONS TO THE SOLUTIONS OF FUNCTIONAL EQUATIONS ARISING IN DYNAMIC PROGRAMMING

  • Liu, Zeqing;Liu, Min;Kim, Hyeong-Kug;Kang, Shin-Min
    • Communications of the Korean Mathematical Society
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    • v.24 no.1
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    • pp.67-83
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    • 2009
  • Several common fixed point theorems for a few contractive type mappings in complete metric spaces are established. As applications, the existence and uniqueness of common solutions for certain systems of functional equations arising in dynamic programming are discussed.

LIPSCHITZ MAPPINGS IN METRIC-LIKE SPACES

  • Jeon, Young Ju;Kim, Chang Il
    • Journal of the Chungcheong Mathematical Society
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    • v.32 no.4
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    • pp.393-400
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    • 2019
  • Pajoohesh introduced the concept of k-metric spaces and Hiltzler and Seda defined the concept of metric-like spaces. Recently, Kopperman and Pajoohesh proved a fixed point theorem in complete k-metric spaces for a Lipschitz map with bound. In this paper, we prove a fixed point theorem in complete metric-like spaces for a Lipschitz map with bound.

Cephalometric Evaluation of the Midfacial Soft Tissue Changes on Smiling (두부규격 방사선 사진을 이용한 미소 시의 중안면부 연조직의 변화량 측정)

  • Cheon, Kang-Yong;Shin, Dong-Whan;Chun, Won-Bae;Kim, Soo-Ho;Kim, Eu-Gene;Park, Hyong-Wook;Cho, Jin-Yong;Yun, Jun-Yong;Seo, Mi-Hyun;Lee, Won-Deok;Suh, Je-Duck;Lee, Ho
    • Maxillofacial Plastic and Reconstructive Surgery
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    • v.34 no.6
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    • pp.421-425
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    • 2012
  • Purpose: The aim of this study is to compare the soft tissue changes of the midfacial area at the repose position and the natural smiling position for the improvement of evaluation and planning in the orthognathic surgery. Methods: The total of 30 subjects, 15 male and 15 female, were included in this study. The metal point landmarks were placed at the cheek, orbital rim, subpupil, and nasal base. The movements of the landmarks were evaluated at the repose position and smiling position in the lateral and posteroanterior cephalograms. Paired t test and correlation analysis were used for the evaluation of the soft tissue changes statistically. Results: In the lateral cephalograms, the cheek point (4.49 mm in female, 4.87 mm in male) showed the most distant movement. All points presented significant movements, except the orbital rim and nasal base point in male. Cheek point presented significant positive correlation between the horizontal and vertical change in male. Subpupil point presented significant positive correlation between horizontal and vertical change in both male and female. In the posteroanterior cephalograms, the nasal base point (5.41 mm in female, 6.30 mm in male) showed the most distant movement. Subpupil point and nasal base point presented significant movements in both female and male. Nasal base point presented significant negative correlation between the horizontal and vertical change in both male and female. In the lateral and posteroanterior cephalograms, the positional changes of all points presented significant positive correlation with each other in both female and male. Conclusion: The cheek point in the sagittal view and the nasal base point in the frontal view showed the most distant movement on smile. In the sagittal view, the subpupil point and cheek point moved anteriorsuperiorly on smile. In the frontal view, the nasal base points moved laterosuperiorly on smile. In both the sagittal and frontal view, the positional changes of all point were highly correlated to each other. These results may be used in the soft tissue references for the treatment planning of the dentofacial deformity patients.

The Comparison of Effectiveness between Near Acupuncture Point Needling and Near Acupuncture with Remote Acupuncture Point Needling on Treating Low Back Pain of Acute Stage (급성기(急性期) 요통(腰痛)의 침치료(鍼治療)에 있어서 근위취혈(近位取穴)과 원위취혈병용(遠位取穴倂用)의 비교(比較) 연구(硏究))

  • Park, Ki-Bum;Lee, Jin-Seok;Kim, Dae-Joong;Song, Kye-Hwa
    • Journal of Acupuncture Research
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    • v.23 no.4
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    • pp.61-68
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    • 2006
  • Objectives : The Purpose of this report is to examine the effect of Remote Acupuncture Point Needling in the Low Back Pain patient of Acute Stage. Methods : From October 1st 2005 to May 31th 2006, 30 cases of low back pain patients at acute stage were divided into 2 groups; one group(control group) took near acupuncture point needling, and the other group(test group) took near acupuncture point needling with remote acupuncture point needling. For evaluating change of pain, Visual Analog Scale(VAS) was checked before and after Treatment. Results : Both acupuncture therapy showed good effect on low back pain of acute stage. And test group showed better effect on decreasing pain than control group. It was proved by the difference between VAS checked before treatment and what checked after treatment. But it was not significant statistically. Conclusion : Near acupuncture point needling and remote acupuncture point needling can be recommended as a useful therapy to treat low back pain of acute stage.

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