Coincidences and fixed points of reciprocally continuous and compatible hybrid maps (Q1608213)
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scientific article; zbMATH DE number 1779146
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Coincidences and fixed points of reciprocally continuous and compatible hybrid maps |
scientific article; zbMATH DE number 1779146 |
Statements
Coincidences and fixed points of reciprocally continuous and compatible hybrid maps (English)
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12 August 2002
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Summary: It is proved that a pair of reciprocally continuous and nonvacuously compatible single-valued and multivalued maps on a metric space possesses a coincidence. Besides addressing two historical problems in fixed point theory, this result is applied to obtain new general coincidence and fixed point theorems for single-valued and multivalued maps on metric spaces under tight minimal conditions.
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hybrid maps
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multimaps
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coincidence
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fixed point theory
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coincidence theorems
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tight minimal conditions
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