On the existence of connected sets of solutions for nonlinear operators (Q2925774)
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scientific article; zbMATH DE number 6361906
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the existence of connected sets of solutions for nonlinear operators |
scientific article; zbMATH DE number 6361906 |
Statements
27 October 2014
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continua of fixed points
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continua of coincidence points
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essential map
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On the existence of connected sets of solutions for nonlinear operators (English)
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The author continues the research published in [the author, Appl. Math. Comput. 219, No. 4, 2026--2034 (2012; Zbl 1297.54094)], where the continuation principle has been used to obtain the existence of a fixed point (coincidence point) for the end-point of a homotopy. Here, the connected branch of fixed points (coincidence points) along the homotopy is examined. A multivalued essentiality is the main tool in the proofs.
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