Fixed point theorems for multi-valued contractive mappings and multi-valued Caristi type mappings (Q819999)
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scientific article; zbMATH DE number 5017368
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fixed point theorems for multi-valued contractive mappings and multi-valued Caristi type mappings |
scientific article; zbMATH DE number 5017368 |
Statements
Fixed point theorems for multi-valued contractive mappings and multi-valued Caristi type mappings (English)
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6 April 2006
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In this paper, the famous Banach contraction principle and Caristi's fixed point theorem are generalized to the case of multi-valued mappings. The results are extensions of Nadler's fixed point theorem and some Caristi type theorems for multi-valued operators.
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complete metric space
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Banach contraction principle
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Caristi's fixed point theorem
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Nadler's fixed point theorem
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multivalued mappings
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