## 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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