Vol. 18(2017) No. 1

 

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  Fixed point theorems in cones under local conditions
 
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Fixed Point Theory, Volume 18, No. 1, 2017, 107-126, March 1st, 2017

DOI: 10.24193/fpt-ro.2017.1.09

Authors: Abdelhamid Benmezaï

Abstract: We provide in this paper new fixed theorems for operators leaving invariant a cone in a Banach space. The main conditions in these new results are imposed on the behavior of the operator at 0 and ∞.

Key Words and Phrases: Cones, fixed point index theory, BVPs.

2010 Mathematics Subject Classification: 47H10, 47H11, 34B15.

Published on-line: March 1st, 2017.

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