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INDONESIA
Journal of the Indonesian Mathematical Society
Published by Indonesian Mathematical Society
ISSN : 20868952     EISSN : 24600245     DOI : -
Core Subject : Education,
Mathematics
Journal of the Indonesian Mathematical Society disseminates new research results in all areas of mathematics and their applications. Besides research articles, the journal also receives survey papers that stimulate research in mathematics and their applications.
Arjuna Subject : -
Articles 20 Documents
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Search results for , issue "VOLUME 27 NUMBER 1 (MARCH 2021)" : 20 Documents clear
Convergence Results for Proximal Point Algorithm in Complete Cat(0) Space for Multivalued Mappings Dashputre, Samir; Padmavati, C.; Sakure, Kavita
Journal of the Indonesian Mathematical Society VOLUME 27 NUMBER 1 (MARCH 2021)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.27.1.899.29-47

Abstract

In this paper, we propose the modified proximal point algorithm with the process for three nearly Lipschitzian asymptotically nonexpansive mappings and multivalued mappings in CAT(0) space under certain conditions. We prove some convergence theorems for the algorithm which was introduced by Shamshad Hussain et al. [18]. A numerical example is given to illustrate the efficiency of proximal point algorithm for supporting our result.
Certain Varieties of Resolving Sets of A Graph Sooryanarayana, Badekara; A.S., Suma; S.B., Chandrakala
Journal of the Indonesian Mathematical Society VOLUME 27 NUMBER 1 (MARCH 2021)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.27.1.881.103-114

Abstract

Let G=(V,E) be a simple connected graph. For each ordered subset S={s_1,s_2,...,s_k} of V and a vertex u in V, we associate a vector Gamma(u/S)=(d(u,s_1),d(u,s_2),...,d(u,s_k)) with respect to S, where d(u,v) denote the distance between u and v in G. A subset S is said to be resolving set of G if Gamma(u/S) not equal to Gamma(v/S) for all u, v in V-S. The purpose of this paper is to introduce various types of r-sets and compute minimum cardinality of each set, in possible cases, particulary for paths, cycles, complete graphs and wheels.
Internal and External Cubic Subalgebras of BCK/BCI-Algebras Bordbar, Hashem; Zahedi, Mohammad Mehdi; Jun, Young Bae
Journal of the Indonesian Mathematical Society VOLUME 27 NUMBER 1 (MARCH 2021)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.27.1.968.48-63

Abstract

A characterization of cubic subalgebra is established. The notion of internal and external cubic subalgebra in BCK/BCI-algebra and several properties are investigated. The R-union, R-intersection, P-union, and P-intersection of internal and external cubic subalgebras in BCK/BCI-algebra are discussed.
A Transcendental Unbounded Continued Fraction Expansions over A Finite Field Ghorbel, Rima; Kthiri, Hassen
Journal of the Indonesian Mathematical Society VOLUME 27 NUMBER 1 (MARCH 2021)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.27.1.829.115-122

Abstract

Let Fq be a finite field and Fq((X−1 )) the field of formal power series with coefficients in Fq. The purpose of this paper is to exhibit a family of transcendental continued fractions of formal power series over a finite field through some specific irregularities of its partial quotients
Degree Sum Exponent Distance Energy of Some Graphs Gurjar, Jeetendra; Jog, Sudhir Raghunath
Journal of the Indonesian Mathematical Society VOLUME 27 NUMBER 1 (MARCH 2021)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.27.1.931.64-74

Abstract

The degree sum exponent distance matrix M(G)of a graph G is a square matrix whose (i,j)-th entry is (di+dj)^ d(ij) whenever i not equal to j, otherwise it is zero, where di is the degree of i-th vertex of G and d(ij)=d(vi,vj) is distance between vi and vj. In this paper, we define degree sum exponent distance energy E(G) as sum of absolute eigenvalues of M(G). Also, we obtain some bounds on the degree sum exponent distance energy of some graphs and deduce direct  expressions for some graphs.
On Soft b-w-Open Sets Granados, Carlos
Journal of the Indonesian Mathematical Society VOLUME 27 NUMBER 1 (MARCH 2021)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.27.1.939.123-129

Abstract

In this paper, we used the notion of soft w-open sets to introduce and study the concepts of soft b-w-open sets. Moreover, some of their properties are shown. Furthermore, the concepts of soft b-T1 and soft b-T2 spaces are defined.
Central Graph of Quadrilateral Snakes with Chromatic Number Mansuri, Akhlak; Mehta, Rohit; Chandel, R S
Journal of the Indonesian Mathematical Society VOLUME 27 NUMBER 1 (MARCH 2021)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.27.1.948.1-8

Abstract

This article shows the study about the harmonious coloring and to investigate the harmonious chromatic number of the central graph of quadrilateral snake, double quadrilateral snake, triple quadrilateral snake, k-quadrilateral snake, alternate quadrilateral snake, double alternate quadrilateral snake, triple alternate quadrilateral snake and k-alternate quadrilateral snake, denoted by C(Qn), C(DQn), C(TQn), C(kQn), C(AQn), C(D(AQn)), C(T(AQn)), C(k(AQn)) respectively.
Hv-Field of Fractions and Hv-Quotient Rings Ghadiri, Mansour
Journal of the Indonesian Mathematical Society VOLUME 27 NUMBER 1 (MARCH 2021)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.27.1.869.75-89

Abstract

A larger class of algebraic hyperstructures satisfying the ring (field)-likeaxioms is the class of Hv-rings (Hv-fields). In this paper, we define the Hv-integraldomain and introduce the Hv-field of fractions of an Hv-integral domain. Also, theHv-quotient ring and some relative theorems are presented. Finally, some interestingresults about the Hv-rings of fractions, Hv-quotient rings and the relations betweenthem are proved.
A Theory of Approximate Reasoning with Type-2 Fuzzy Set Mandal, Sudin; Karim, Injamam Ul; Raha, Swapan
Journal of the Indonesian Mathematical Society VOLUME 27 NUMBER 1 (MARCH 2021)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.27.1.905.9-28

Abstract

In this paper, an attempt is made to study approximate reasoning based on a Type-2 fuzzy set theory. In the process, we have examined the underlying fuzzy logic structure on which the reasoning is formulated. We have seen that the partial/incomplete/imprecise truth-values of elements of a type-2 fuzzy set under consideration forms a lattice. We propose two new lattice operations which ultimately help us to define a residual and thereby making the structure of truth- values a residuated lattice. We have focused upon two typical rules of inference used mostly in ordinary approximate reasoning methodology based on Type-1 fuzzy set theory. Our proposal is illustrated with typical artificial examples.
Strong Convergence of A Hybrid Method for Infinite Family of Nonexpansive Mapping and Variational Inequality Rathee, Savita; Swami, Monika
Journal of the Indonesian Mathematical Society VOLUME 27 NUMBER 1 (MARCH 2021)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.27.1.955.90-102

Abstract

The motivation behind this paper is to use hybrid method for searching a typical component of the set of fixed point of an infinite family of non expansive mapping and the set of monotone, Lipschtiz continuous variational inequality problem. The contemplated method is combination of two method one is extragradient method and the other one is DQ method. Also, we demonstrate the strong convergence of the designed iterative technique, under some warm conditions.

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