A remark on discontinuity at fixed point (Q313496)
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scientific article; zbMATH DE number 6626196
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A remark on discontinuity at fixed point |
scientific article; zbMATH DE number 6626196 |
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A remark on discontinuity at fixed point (English)
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12 September 2016
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The authors answer the open question raised by \textit{B. E. Rhoades} in [Contemp. Math. 72, 233--245 (1988; Zbl 0649.54024)] and prove a fixed point theorem under a contractive condition without continuity of the mapping even at the fixed point. An example is given to validate the main result. The main result is applicable to neural nets under suitable conditions.
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fixed point
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\(\phi\)-contractions
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(\(\varepsilon\)-\(\delta\)) contractions
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