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ISSN : 1226-0657
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Vol.30 No.4
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.
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.
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.
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.
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.
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
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.
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.