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KIM, SEHUN,KIM, BYUNGJIN,KIM, JUNGON,KIM, HARAM,KIM, BYUNG HAK The Korean Society for Computational and Applied M 2018 Journal of applied mathematics & informatics Vol.36 No.1
The Euclid metric is well-known and there are many results on the space with that metric. But there are many other metrics which gives more practical and useful results in the plane. In this paper, we introduce new metric function in the plane, which is more useful in city with subway. Finally we generalize to the general metric space and introduce a new metric on ${\mathbb{R}}^n$.
Kyung Soo Kim 경남대학교 수학교육과 2021 Nonlinear Functional Analysis and Applications Vol.26 No.3
A convergence theorem for a generalized $\varphi$-weakly contractive mapping is proved which satisfy a generalized contraction condition on a complete metrically convex metric space. The result in this paper generalizes the relevant results due to Rhoades [18], Alber and Guerre-Delabriere [1], Khan and Imdad [14], Xue [20] and others. An illustrative example is also furnished in support of our main result.
김세훈,김병진,김준곤,김하람,김병학 한국전산응용수학회 2018 Journal of applied mathematics & informatics Vol.36 No.1
The Euclid metric is well-known and there are many results on the space with that metric. But there are many other metrics which gives more practical and useful results in the plane. In this paper, we introduce new metric function in the plane, which is more useful in city with subway. Finally we generalize to the general metric space and introduce a new metric on $\mathds{R}^n$.
ON SOME SPACES OF A FINSLEER SPACE WITH A SPECIAL (α,β)-METRIC
Lee,Il-Yong 慶星大學校 1998 論文集 Vol.19 No.2
이 논문의 목적은 특별한 (α,β)-계량 L²=c₁α²+c₂αβ+c₃β²을 가지는 Finsler공간이 첫째, Douglas 공간이 될 조건을 구하고 둘째, 일반화된 Berwald공간이 될 조건을 구하며 마지막으로, Wagner공간이 될 조건을 구하는 것이다.
EQUATIONS OF GEODESICS IN A TWO-DIMENSIONAL FINSLER SPACE WITH A GENERALIZED KROPINA METRIC
Park, Hong-Suh,Lee, Il-Yong Korean Mathematical Society 2000 대한수학회보 Vol.37 No.2
The geodesic equation in a two-dimensional Finsler space is given by the differential equation of the Weierstrass form. In the present paper, we express the differential equations of geodesics in a two-dimensional Finsler space with a generalized Kropina metric.
Kamal, A.,El-Sayed Ahmed, A.,Yassen, T.I. The Kangwon-Kyungki Mathematical Society 2016 한국수학논문집 Vol.24 No.4
In this paper, we study Lipschitz continuous, the boundedness and compactness of the composition operator $C_{\phi}$ acting between the general hyperbolic Bloch type-classes ${\mathcal{B}}^{\ast}_{p,{\log},{\alpha}}$ and general hyperbolic Besov-type classes $F^{\ast}_{p,{\log}}(p,q,s)$. Moreover, these classes are shown to be complete metric spaces with respect to the corresponding metrics.
DOVGOSHEY, OLEKSIY,DORDOVSKYI, DMYTRO Department of Mathematics 2015 Kyungpook mathematical journal Vol.55 No.2
Let X be a nonempty set and $\mathcal{F}$(X) be the set of nonempty finite subsets of X. The paper deals with the extended metrics ${\tau}:\mathcal{F}(X){\rightarrow}\mathbb{R}$ recently introduced by Peter Balk. Balk's metrics and their restriction to the family of sets A with ${\mid}A{\mid}{\leqslant}n$ make possible to consider "distance functions" with n variables and related them quantities. In particular, we study such type generalized diameters $diam_{{\tau}^n}$ and find conditions under which $B{\mapsto}diam_{{\tau}^n}B$ is a Balk's metric. We prove the necessary and sufficient conditions under which the restriction ${\tau}$ to the set of $A{\in}\mathcal{F}(X)$ with ${\mid}A{\mid}{\leqslant}3$ is a symmetric G-metric. An infinitesimal analog for extended by Balk metrics is constructed.
GENERALIZED Fδ− CONTRACTIONS AND MULTIVALUED COMMON FIXED POINT THEOREM
NAVEEN MANI,VISHAL GUPTA,ASHIMA KANWAR,REETA BHARDWAJ 장전수학회 2018 Proceedings of the Jangjeon mathematical society Vol.21 No.4
In this paper, using Wardowski technique, we mainly study common fixed point theorem for pair of multivalued mappings with δ- distance satisfying generalized Fδ− multivalued contraction in complete metric spaces. Our main result extend the result of Wardowski (Fixed Point Theory and Applications 2012 (2012), Article Id:94), and gener- alize the result of Acar (Abstract and Applied Analysis, 2014 (2014), Article ID:497092, 5 pages).
GENERALIZED CONTRACTION MAPPING PRINCIPLE AND DIFFERENTIAL EQUATIONS IN PROBABILISTIC METRIC SPACES
LEE, B. S.,JUNG, J. S.,CHANG, S. S.,KANG, S. M.,CHEN, Y. Q.,CHO, Y. J. 東亞大學校附設基礎科學硏究所 1997 基礎科學硏究論文集 Vol.14 No.1
A new generalized contraction mapping principle in probabilistic metric spaces is obtained. As an application, we utilize this principle to prove the existence theorems of solutions to differential equations in probabilistic metric spaces. All the results presented in this paper are new.
Workout for α-ψ-φ-contractions in Generalized Tripled Metric Space with Application
Ghorban Khalilzadeh Ranjbar 한국수학교육학회 2024 純粹 및 應用數學 Vol.31 No.3
In this paper, by using fixed point techniques, we establish some common fixed point theorems for mappings satisfying an α-ψ-φ-contractive condition in generalized tripled metric space. Finally, we give an example to illustrate our main outcome.