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- W2017223881 abstract "The purpose of this paper is to study the existence and uniqueness of fixed point for a class of nonlinear mappings defined on a real Banach space, which, among others, contains the class of separate contractive mappings, as well as to see that an important class of 1-set contractions and of pseudocontractions falls into this type of nonlinear mappings. As a particular case, we give an iterative method to approach the fixed point of a nonexpansive mapping. Later on, we establish some fixed point results of Krasnoselskii type for the sum of two nonlinear mappings where one of them is either a 1-set contraction or a pseudocontraction and the another one is completely continuous, which extend or complete previous results. In the last section, we apply such results to study the existence of solutions to a nonlinear integral equation." @default.
- W2017223881 created "2016-06-24" @default.
- W2017223881 creator A5020055183 @default.
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- W2017223881 date "2013-02-01" @default.
- W2017223881 modified "2023-09-24" @default.
- W2017223881 title "Fixed point theory for 1-set contractive and pseudocontractive mappings" @default.
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- W2017223881 doi "https://doi.org/10.1016/j.amc.2012.12.079" @default.
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