2020
DOI: 10.37418/amsj.9.7.36
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Sum of Soft Topological Ordered Spaces

Abstract: This paper considers Linear two-parameter eigenvalue problems in terms of matrix operators. Generally, for spectral analysis two-parameter problem is reduced into a system of generalized eigenvalue problems using a special pair of determinant operator matrices on tensor product space. In this work, some inequalities on numerical range and numerical radius of this special pair of operator matrices arising from two-parameter problem will be derived.

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Cited by 4 publications
(2 citation statements)
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References 15 publications
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“…This article follows Shabir and Naz' technique which is defined an ST over a fixed set of universe and a fixed set of parameters. The basic concepts and notions of classical topology have been studied in ST such as caliber and chain conditions [43], compactness [2,26,28,29,40,49], local compactness [47] separation axioms [18,21,22,42,45,52], fixed point theorem [7,19], connectedness [54,57,60], mappings [20,25,30,58], bioperators [48], covering properties [34,35,59], sum of topologies [31,36] and generalized open sets [3]. Additionally, STs and supra STs were discussed in ordered settings as given in [24].…”
Section: Introductionmentioning
confidence: 99%
“…This article follows Shabir and Naz' technique which is defined an ST over a fixed set of universe and a fixed set of parameters. The basic concepts and notions of classical topology have been studied in ST such as caliber and chain conditions [43], compactness [2,26,28,29,40,49], local compactness [47] separation axioms [18,21,22,42,45,52], fixed point theorem [7,19], connectedness [54,57,60], mappings [20,25,30,58], bioperators [48], covering properties [34,35,59], sum of topologies [31,36] and generalized open sets [3]. Additionally, STs and supra STs were discussed in ordered settings as given in [24].…”
Section: Introductionmentioning
confidence: 99%
“…Çaǧman et al [10] used a soft set to demonstrate the notion of soft topological space. Following that, several academics concentrated on soft topological spaces [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26].…”
Section: Introductionmentioning
confidence: 99%