Strict contractive conditions and common fixed point theorems with application (Q2860790)
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scientific article; zbMATH DE number 6225364
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Strict contractive conditions and common fixed point theorems with application |
scientific article; zbMATH DE number 6225364 |
Statements
Strict contractive conditions and common fixed point theorems with application (English)
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11 November 2013
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common fixed points
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contractive conditions
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conditionally commuting maps
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noncompatible maps
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property (E. A.)
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From the abstract: The aim of the present paper is to obtain common fixed point theorems under a strict contractive condition by assuming minimal commutativity conditions. Our theorems extend the results due to R. P. Pant and V. Pant. We also provide pair of mappings which ensures the existence of a common fixed point; however, both the mappings are discontinuous at the common fixed point. We, thus, provide one more answer to the problem of Rhoades. In the last section, we apply our results to solve an eigenvalue problem.
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