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Vol.30 No.4

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Abstract

For numerical evaluation of Cauchy principal value integrals, we present a simple rational function with a parameter satisfying some reasonable conditions. The proposed rational function is employed in coordinate transformation for accelerating the accuracy of the Gauss quadrature rule. The efficiency of the proposed rational transformation method is demonstrated by the numerical result of a selected test example.

ÇIĞDEM GÜNDÜZ ARAS(Kocaeli University) ; Sadi Bayramov(Baku State University) ; ARZU ERDEM COŞKUN(Kocaeli University) pp.357-375 https://doi.org/10.7468/jksmeb.2023.30.4.357
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Abstract

In this paper, we present bipolar soft supra topological space and characterize the concepts of bipolar soft supra closure and bipolar soft supra interior. We connect bipolar soft supra topology and bipolar soft topology. We intoduce the concepts of bipolar soft supra continuous mapping and study the concept of bipolar soft supra compact topological space. We prove a result related to the image of the bipolar soft supra compact space. We identify the concepts of disconnected (connected) and strongly disconnected (strongly connected) space and obtain several results connecting among them herein. We clarify the relationships among these concepts by examples.

M. Al Tahan(Abu Dhabi University) ; B. Davvaz(Yazd University, Iran) pp.377-395 https://doi.org/10.7468/jksmeb.2023.30.4.377
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Abstract

The purpose of this paper is to consider the abstract theory of hypernear rings. In this regard, we derive the isomorphism theorems for hypernear rings as well as Chinese Remainder theorem. Our results can be considered as a generalization for the cases of Krasner hyperrings, near rings, and rings.

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Abstract

Let R be a commutative ring with identity, X be an indeterminate over R, and R[X] be the polynomial ring over R. In this paper, we study when R[X] is a radically principal ideal ring. We also study the t-operation analog of a radically principal ideal domain, which is said to be t-compactly packed. Among them, we show that if R is an integrally closed domain, then R[X] is t-compactly packed if and only if R is t-compactly packed and every prime ideal Q of R[X] with Q ∩ R = (0) is radically principal.

QUSUAY H. ALQIFIARY(University of Al-Qadisiyah, Iraq) ; pp.407-416 https://doi.org/10.7468/jksmeb.2023.30.4.407
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Abstract

In this paper, we introduce the concept of $C^{*}$-algebra-valued extended quasi $b$-metric space and prove some existence and uniqueness theorems. Furthermore, we prove the Hyers-Ulam stability results for fixed point problems via $C^{*}$-algebra-valued extended quasi $b$-metric space.

V. Anbukkarasi(Department of Mathematics, Bharathidasan University, Tiruchirappalli-620 024, Tamilnadu, India) ; R. Theivaraman(Department of Mathematics, Bharathidasan University, Tiruchirappalli-620 024, Tamilnadu, India) ; M. Marudai(Department of Mathematics, Bharathidasan University, Tiruchirappalli-620 024, Tamilnadu, India) ; P. S. SRINIVASAN(DEPARTMENT OF MATHEMATICS, BHARATHIDASAN UNIVERSITY) pp.417-427 https://doi.org/10.7468/jksmeb.2023.30.4.417
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Abstract

The purpose of this paper is establish the existence of proximity point for the cyclic B-contraction mapping on metric spaces and uniformly convex Banach spaces. Also, we prove the common proximity point for the S-weakly cyclic B-contraction mapping. In addition, a few examples are provided to demonstrate our findings

Arsham Borumand Saeid(Shahid Bahonar University of Kerman) ; M. Murali Krishna Rao(Department of mathematics, Sankethika Institute of Tech. and Management, India) ; Rajendra Kumar Kona(Department of mathemathics, GIS, GITAM(Deemed to be University), India) pp.429-442 https://doi.org/10.7468/jksmeb.2023.30.4.429
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Abstract

In this paper, we introduce the concept of fuzzy ideals, anti-fuzzy ideals of Γ-BCK-algebras. We study the properties of fuzzy ideals, anti-fuzzy ideals of Γ-BCK-algebras. We prove that if f^-1(μ) is a fuzzy ideal of M, then μ is a fuzzy ideal of N, where f : M ! N is an epimorphism of Γ-BCK-algebras M and N.

Amrish Handa(Govt. P. G. Arts and Science College) pp.443-461 https://doi.org/10.7468/jksmeb.2023.30.4.443
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Abstract

In this manuscript, we establish some common fixed point theorems satisfying contraction mapping principle on partially ordered non-Archimedean fuzzy metric spaces and also derive some coupled fixed point results with the help of established results. We investigate the solution of integral equation and also give an example to show the applicability of our results. These results generalize, improve and fuzzify several well-known results in the recent literature.

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics