Coincidence and fixed points of nonlinear hybrid mappings (Q1012420)
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scientific article; zbMATH DE number 5545403
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Coincidence and fixed points of nonlinear hybrid mappings |
scientific article; zbMATH DE number 5545403 |
Statements
Coincidence and fixed points of nonlinear hybrid mappings (English)
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21 April 2009
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The paper presents some coincidence point and fixed point theorems for four mappings (two multivalued (\(S\) and \(T\)) and two single-valued (\(f\) and \(g\))) satisfying a generalized condition of the following type: \[ H(Sx,Ty)\leq\Phi(d(fx,gy),d(fx,Sx),d(gy,Ty),d(fx,Ty),d(gy,Sx)). \] Some examples showing the generality of these theorems are presented.
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fixed point
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coincidence point
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Hausdorff-Pompeiu metric
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hybrid mapping
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