• Title/Summary/Keyword: S-metric

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Network Efficient Multi-metric Routing Algorithm for QoS Requiring Application (QoS 응용 서비스를 위한 효율적인 다중 메트릭 라우팅 방안)

  • 전한얼;김성대;이재용;김동연;김영준
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.27 no.11C
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    • pp.1055-1063
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    • 2002
  • In this paper, we have studied path selection problem using multiple metric. Current Internet selects a path using only one metric. The path selected by one metric is a best-effort service that can satisfy one requirements. In order to satisfy a call with various Qualify-of-Service(QoS) requirements, the path must satisfy multiple constraints. In many cases, path selection is NP-complete. The proposed algorithm is widest-least cost routing algorithm that selects a path based on cost metric which is basically a delay metric influenced by the network status. The proposed algorithm is a multiple metric path selection algorithm that has traffic distribution ability to select shortest path when network load is light and move traffic to other alternate path when the link load is high. We have compared the results with other routing algorithms.

A common fixed point theorem in the intuitionistic fuzzy metric space

  • Park Jong-Seo;Kim Seon-Yu;Kang Hong-Jae
    • Journal of the Korean Institute of Intelligent Systems
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    • v.16 no.3
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    • pp.321-325
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    • 2006
  • The purpose of this paper is to establish the common fixed point theorem in the intuitionistic fuzzy metric space in which it is a little revised in Park [11]. Our research are an extension of Jungck's common fixed point theorem [8] in the intuitionistic fuzzy metric space.

A Coupled Fixed Point Theorem for Mixed Monotone Mappings on Partial Ordered G-Metric Spaces

  • Lee, Hosoo
    • Kyungpook Mathematical Journal
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    • v.54 no.3
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    • pp.485-500
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    • 2014
  • In this paper, we establish coupled fixed point theorems for mixed monotone mappings satisfying nonlinear contraction involving a pair of altering distance functions in ordered G-metric spaces. Via presented theorems we extend and generalize the results of Harjani et al. [J. Harjani, B. L$\acute{o}$pez and K. Sadarangani, Fixed point theorems for mixed monotone operators and applications to integral equations, Nonlinear Anal. 74 (2011) 1749-1760] and Choudhury and Maity [B.S. Choudhury and P. Maity, Coupled fixed point results in generalized metric spaces. Math. Comput. Model. 54 (2011), 73-79].

SOME FIXED POINT THEOREMS IN CONNECTION WITH TWO WEAKLY COMPATIBLE MAPPINGS IN BICOMPLEX VALUED METRIC SPACES

  • Choi, Junesang;Datta, Sanjib Kumar;Biswas, Tanmay;Islam, Md Nazimul
    • Honam Mathematical Journal
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    • v.39 no.1
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    • pp.115-126
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    • 2017
  • In this paper, we aim to prove certain common fixed point theorems for a pair of weakly compatible mappings satisfying (CLRg) (or (E.A)) property in the bicomplex valued metric spaces. We also provide some examples which support the main results here.

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.

CONFORMAL RICCI SOLITON ON PARACONTACT METRIC (k, 𝜇)-MANIFOLDS WITH SCHOUTEN-VAN KAMPEN CONNECTION

  • Pardip Mandal;Mohammad Hasan Shahid;Sarvesh Kumar Yadav
    • Communications of the Korean Mathematical Society
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    • v.39 no.1
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    • pp.161-173
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    • 2024
  • The main object of the present paper is to study conformal Ricci soliton on paracontact metric (k, 𝜇)-manifolds with respect to Schouten-van Kampen connection. Further, we obtain the result when paracontact metric (k, 𝜇)-manifolds with respect to Schouten-van Kampen connection satisfying the condition $^*_C({\xi},U){\cdot}^*_S=0$. Finally we characterized concircular curvature tensor on paracontact metric (k, 𝜇)-manifolds with respect to Schouten-van Kampen connection.

SOME FIXED POINT RESULTS ON DOUBLE CONTROLLED CONE METRIC SPACES

  • A. Herminau Jothy;P. S. Srinivasan;Laxmi Rathour;R. Theivaraman;S. Thenmozhi
    • Korean Journal of Mathematics
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    • v.32 no.2
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    • pp.329-348
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    • 2024
  • In this text, we investigate some fixed point results in double-controlled cone metric spaces using several contraction mappings such as the B-contraction, the Hardy-Rogers contraction, and so on. Additionally, we prove the same fixed point results by using rational type contraction mappings, which were discussed by the authors Dass. B. K and Gupta. S. Also, a few examples are included to illustrate the results. Finally, we discuss some applications that support our main results in the field of applied mathematics.

ON THE SECOND APPROXIMATE MATSUMOTO METRIC

  • Tayebi, Akbar;Tabatabaeifar, Tayebeh;Peyghan, Esmaeil
    • Bulletin of the Korean Mathematical Society
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    • v.51 no.1
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    • pp.115-128
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    • 2014
  • In this paper, we study the second approximate Matsumoto metric F = ${\alpha}+{\beta}+{\beta}^2/{\alpha}+{\beta}^3/{\alpha}^2$ on a manifold M. We prove that F is of scalar flag curvature and isotropic S-curvature if and only if it is isotropic Berwald metric with almost isotropic flag curvature.