Fixed point theorems of some new decreasing operators and their applications (Q2748912)

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scientific article; zbMATH DE number 1663538
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Fixed point theorems of some new decreasing operators and their applications
scientific article; zbMATH DE number 1663538

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    28 January 2004
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    non-symmetric iteration
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    decreasing operator
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    fixed-points
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    Hammerstein nonlinear integral equations
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    Fixed point theorems of some new decreasing operators and their applications (English)
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    Using the non-symmetric iteration method, the author obtains a fixed-point theorem for a decreasing operator in ordered Banach space. He proves existence, uniqueness and iterative convergence of fixed-points, and applies the result to Hammerstein nonlinear integral equations.
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