Fixed point index and solutions of differential equations in Banach spaces
Release Time:2019-03-10 Hits:
Indexed by: Journal Article
Date of Publication: 2004-11-01
Journal: INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS
Included Journals: SCIE、Scopus
Volume: 35
Issue: 11
Page Number: 1255-1264
ISSN: 0019-5588
Key Words: fixed point index; completely continuous operators; stirct k-set contractions; ordinary differential equations in Banach spaces
Abstract: In reflexive Banach spaces by constructing homotopies, we present a formula for the computation of the fixed point index for completely continuous operators by the Solutions of the corresponding ordinary differential equations. The formula is then used to obtain fixed points for completely continuous operators defined on cones.