Generalizations of Krasnoselskii’s Theorem and Petryshyn’s Theorem

In this work, the fixed point theorems of Krasnoselskii and Petryshyn are generalized to inner product spaces. An example is given to show the applications of the theorem.

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Bibliographic Details
Published in:Applied mathematics letters 2006-07, Vol.19 (7), p.628-632
Main Author: Zhu, Chuanxi
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fixed point
Functional analysis
Global analysis, analysis on manifolds
Homotopy invariance
Inner product space
Mathematical analysis
Mathematics
Noncompact measure
Sciences and techniques of general use
Semiclosed 1-set-contractive operator
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
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Description
Summary:In this work, the fixed point theorems of Krasnoselskii and Petryshyn are generalized to inner product spaces. An example is given to show the applications of the theorem.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2005.08.013