IJPAM: Volume 107, No. 4 (2016)

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

Mohammed Said El Khannoussi$^1$, Abderrahim Zertiti$^2$
$^{1,2}$Department of Mathematics
Faculty of Sciences
University Abdelmalek Essaadi
B.P. 2121, Tetouan, MOROCCO


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.

Received: September 17, 2015

AMS Subject Classification: 47H11, 58C40, 47H10

Key Words and Phrases: positive solutions, fixed point index, fixed point theorems, operators equations

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DOI: 10.12732/ijpam.v107i4.1 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 107
Issue: 4
Pages: 789 - 801


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