On the existence and uniqueness problems of solutions for set-valued and single-valued nonlinear operator equations in probabilistic normed spaces (Q1326630)
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scientific article; zbMATH DE number 569408
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the existence and uniqueness problems of solutions for set-valued and single-valued nonlinear operator equations in probabilistic normed spaces |
scientific article; zbMATH DE number 569408 |
Statements
On the existence and uniqueness problems of solutions for set-valued and single-valued nonlinear operator equations in probabilistic normed spaces (English)
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24 November 1994
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Following Altman's theory of contractors on normed spaces [\textit{M. Altman}, Contractors and contractor directions. Theory and applications. A new approach to solving equations. Lecture Notes in Pure and Applied Mathematics, Vol. 32 (1977; Zbl 0363.65045)] the authors study contractors and fixed points on Menger probabilistic normed spaces.
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\(PM\)-space
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probabilistic contractor
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set-valued map
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contractors
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fixed points
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Menger probabilistic normed spaces
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