# Existence for nonconvex integral inclusions via fixed points

Archivum Mathematicum (2003)

- Volume: 039, Issue: 4, page 293-298
- ISSN: 0044-8753

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topCernea, Aurelian. "Existence for nonconvex integral inclusions via fixed points." Archivum Mathematicum 039.4 (2003): 293-298. <http://eudml.org/doc/249127>.

@article{Cernea2003,

abstract = {We consider a nonconvex integral inclusion and we prove a Filippov type existence theorem by using an appropiate norm on the space of selections of the multifunction and a contraction principle for set-valued maps.},

author = {Cernea, Aurelian},

journal = {Archivum Mathematicum},

keywords = {integral inclusions; contractive set-valued maps; fixed point; contractive set-valued maps; Banach space; Filippov-type inequality},

language = {eng},

number = {4},

pages = {293-298},

publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},

title = {Existence for nonconvex integral inclusions via fixed points},

url = {http://eudml.org/doc/249127},

volume = {039},

year = {2003},

}

TY - JOUR

AU - Cernea, Aurelian

TI - Existence for nonconvex integral inclusions via fixed points

JO - Archivum Mathematicum

PY - 2003

PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno

VL - 039

IS - 4

SP - 293

EP - 298

AB - We consider a nonconvex integral inclusion and we prove a Filippov type existence theorem by using an appropiate norm on the space of selections of the multifunction and a contraction principle for set-valued maps.

LA - eng

KW - integral inclusions; contractive set-valued maps; fixed point; contractive set-valued maps; Banach space; Filippov-type inequality

UR - http://eudml.org/doc/249127

ER -

## References

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- Petruşel A., Integral inclusions. Fixed point approaches, Comment. Math. Prace Mat., 40 (2000), 147–158. Zbl0991.47041MR1810391
- Tallos P., A Filippov-Gronwall type inequality in infinite dimensional space, Pure Math. Appl. 5 (1994), 355–362. (1994) MR1343457
- Zhu Q. J., A relaxation theorem for a Banach space integral-inclusion with delays and shifts, J. Math. Anal. Appl. 188 (1994), 1–24. (1994) Zbl0823.34023MR1301713

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