Fixed point theorems of operators with ppf dependence in banach spaces |
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Authors: | Stephen R Bernfeld V Lakshmikantham YM Reddy |
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Institution: | 1. The University of Texas at Arlington , Arlington, Texas, 76019, U.S.A;2. Paul Quinn College , Waco, Texas, 76704, U.S.A |
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Abstract: | In this paper the theory of fixed point theorems of nonlinear whose domain and range are different Banach spaces are considered. Also the analogues of the Contraction Mapping Principle. Krasnoselskii's fixed point theorem and a result on the convergence of quasinonexpansive mappings are dealt with. As an application, the existence and uniqueness of solutions of differential equations with retarded argument in Banach spaces are discussed |
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Keywords: | 34C35 58F12 |
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