Zeros of conic functions, fixed points, and coincidences (Q6634039)
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scientific article; zbMATH DE number 7939892
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Zeros of conic functions, fixed points, and coincidences |
scientific article; zbMATH DE number 7939892 |
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Zeros of conic functions, fixed points, and coincidences (English)
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6 November 2024
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In e.g. [\textit{T. N. Fomenko}, Math. Notes 93, No. 1, 172--186 (2013; Zbl 1273.54053); translation from Mat. Zametki 93, No. 1, 127--143 (2013), \textit{T. N. Fomenko} and \textit{Yu. N. Zakharyan}, Dokl. Math. 102, No. 1, 272--275 (2020; Zbl 1528.54014); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 493, 13--17 (2020); erratum Dokl. Math. 103, No. 1, 66 (2020)], the author developed the concept of \((\alpha,\beta)\) search functionals in metric spaces.\N\NIn the present paper, the idea of operator coefficients is used to develop the method of \((\alpha,\beta)\) search functionals in a conic metric space and to demonstrate its applications in the theory of fixed points and coincidences.
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conic metric
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conic function
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multivalued mapping
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fixed point
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coincidence point
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