Abstract
In this paper, we obtain fixed point theorems for operators defined on Cartesian product spaces under heterogeneous conditions upon the structure of the factor spaces and the operator components. The main results combine Banach–Perov contraction principle with topological fixed point theorems of Mönch type in strong and weak topologies. The results make possible a tinted analysis of the operator systems. An application of the vectorial technique to evolution equations with nonlocal Cauchy conditions is included.
Authors
Tiziana Cardinali
Department of Mathematics and Computer Science, University of Perugia, Perugia, Italy
Radu Precup
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania
Paola Rubbioni
Department of Mathematics and Computer Science, University of Perugia, Perugia, Italy
Keywords
Fixed point; vector-valued operator; measure of noncompactness; measure of weak noncompactness; evolution equation; nonlocal Cauchy condition.
Paper coordinates
T. Cardinali, R. Precup, P. Rubbioni, Heterogeneous vectorial fixed point theorems, Mediterr. J. Math., 14 (2017) art. no. 83, 12 pp., https://doi.org/10.1007/s00009-017-0888-8
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About this paper
Journal
Metditerranean Journal Mathematics
Publisher Name
Birkhauser Verlag Basel
Print ISSN
| 1660-5446 | |
Online ISSN
1660-5454
google scholar link
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