FIXED POINT THEOREMS IN THE STUDY OF OPERATOR EQUATIONS IN ORDERED BANACH SPACES

Authors :: M.S. El Khannoussi
Abderrahim Zertiti
Source :: International Journal of Pure and Apllied Mathematics. 107
Publication Year :: 2016
Publisher :: Academic Publications, 2016.
Abstract: In this paper, we shall study completely continuous maps which leave a cone invariant in an ordered Banach space. A generalisation of some results of Krasnosel'skii and Amann, where the map are supposed to be monotone, will be given.

Subjects :: Discrete mathematics
Applied Mathematics
General Mathematics
010102 general mathematics
Banach space
Fixed-point theorem
01 natural sciences
010101 applied mathematics
Pseudo-monotone operator
Operator (computer programming)
Monotone polygon
Cone (topology)
0101 mathematics
Invariant (mathematics)
C0-semigroup
Mathematics

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