Topological degree for 1-set-contractive fields in M-PN spaces and its applications

In this paper, we define the topological degree for 1-set-contractive fields in PN spaces. Based on this, we obtain some new fixed point theorems for 1-set-contractive operators. As an application, we study the existence of solutions for a kind of nonlinear Volterra integral equations in Z-M-PN spac...

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Bibliographic Details
Published inApplied Mathematics-A Journal of Chinese Universities Vol. 25; no. 4; pp. 463 - 474
Main Authors Wu, Zhao-qi, Zhu, Chuan-xi
Format Journal Article
LanguageEnglish
Published Heidelberg SP Editorial Committee of Applied Mathematics - A Journal of Chinese Universities 01.12.2010
Subjects
Applications of Mathematics
Mathematics
Mathematics and Statistics
PN-space
topological degree
46S50
1-set-contractive operator
47S50
fixed point theorem
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Summary:In this paper, we define the topological degree for 1-set-contractive fields in PN spaces. Based on this, we obtain some new fixed point theorems for 1-set-contractive operators. As an application, we study the existence of solutions for a kind of nonlinear Volterra integral equations in Z-M-PN space.
ISSN:1005-1031
1993-0445
DOI:10.1007/s11766-010-2448-x