Fixed point theorems for mixed monotone operators and applications to integral equations (Q629290)
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scientific article; zbMATH DE number 5862804
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fixed point theorems for mixed monotone operators and applications to integral equations |
scientific article; zbMATH DE number 5862804 |
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Fixed point theorems for mixed monotone operators and applications to integral equations (English)
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9 March 2011
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The authors generalize Theorem 1 of [\textit{T. G. Bhaskar} and \textit{V. Lakshmikantham}, Nonlinear Anal., Theory Methods Appl. 65, No.~7, A, 1379--1393 (2006; Zbl 1106.47047)] by using altering distance functions and present some coupled fixed point theorems for a mixed monotone operator in a complete metric space endowed with a partial order. They also provide an application to integral equations.
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coupled fixed point
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mixed monotone operator
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partially ordered set
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altering distance function
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integral equation
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