Multiple positive fixed points for the sum of expansive mappings and k‐set contractions

In this work, we are concerned with the existence of multiple positive fixed points for the sum of an expansive mapping with constant h > 1 and a k‐set contraction when 0 ≤ k  1 and an e‐concave operator and an e‐convex operator is considered. Two examples of application illustrate some of the th...

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Bibliographic Details
Published in:Mathematical methods in the applied sciences 2019-09, Vol.42 (13), p.4412-4426
Main Authors: Benzenati, Lyna, Mebarki, Karima
Format: Article
Language:English
Subjects:
Expansion
expansive mapping
e‐concave operator
e‐convex operator
k‐set contraction
Mapping
sum of operators
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Summary:In this work, we are concerned with the existence of multiple positive fixed points for the sum of an expansive mapping with constant h > 1 and a k‐set contraction when 0 ≤ k  1 and an e‐concave operator and an e‐convex operator is considered. Two examples of application illustrate some of the theoretical results.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.5662