Fixed points for multifunctions on generalized metric spaces with applications to a multivalued Cauchy problem
Commentationes Mathematicae Universitatis Carolinae (1997)
- Volume: 38, Issue: 4, page 657-663
- ISSN: 0010-2628
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topPetruşel, Adrian. "Fixed points for multifunctions on generalized metric spaces with applications to a multivalued Cauchy problem." Commentationes Mathematicae Universitatis Carolinae 38.4 (1997): 657-663. <http://eudml.org/doc/248061>.
@article{Petruşel1997,
abstract = {The purpose of this paper is to prove an existence result for a multivalued Cauchy problem using a fixed point theorem for a multivalued contraction on a generalized complete metric space.},
author = {Petruşel, Adrian},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {generalized metric space; multivalued contraction; fixed points; differential inclusion; existence of solution; fixed point; multivalued contraction},
language = {eng},
number = {4},
pages = {657-663},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Fixed points for multifunctions on generalized metric spaces with applications to a multivalued Cauchy problem},
url = {http://eudml.org/doc/248061},
volume = {38},
year = {1997},
}
TY - JOUR
AU - Petruşel, Adrian
TI - Fixed points for multifunctions on generalized metric spaces with applications to a multivalued Cauchy problem
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1997
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 38
IS - 4
SP - 657
EP - 663
AB - The purpose of this paper is to prove an existence result for a multivalued Cauchy problem using a fixed point theorem for a multivalued contraction on a generalized complete metric space.
LA - eng
KW - generalized metric space; multivalued contraction; fixed points; differential inclusion; existence of solution; fixed point; multivalued contraction
UR - http://eudml.org/doc/248061
ER -
References
top- Aubin J.P., Cellina A., Differential Inclusions, Springer Verlag, Berlin, 1984. Zbl0538.34007MR0755330
- Aumann R.J., Integrals of set-valued functions, J. Math. Anal. Appl. 12 (1965), 1-12. (1965) Zbl0163.06301MR0185073
- Covitz H., Nadler S.B., Jr., Multivalued contraction mappings in generalized metric spaces, Israel J. Math. 8 (1970), 5-11. (1970) MR0263062
- Hiai F., Umegake H., Integrals, conditional expectations and martingales of multivalued functions, J. Multivariate Anal. 7 (1977), 149-182. (1977) MR0507504
- Himmelberg C.J., Van Vleck F.S., Lipschitzian generalized differential equations, Rend. Sem. Mat. Univ. Parma 48 (1973), 159-169. (1973) Zbl0289.49009MR0340692
- Jung C.K., On generalized complete metric space, Bull. A.M.S. 75 (1969), 113-116. (1969) MR0234446
- Kisielewicz M., Differential Inclusions and Optimal Control, Kluwer Acad. Publ., Dordrecht, 1991. MR1135796
- Kuratowski K., Ryll-Nardzewski C., A general theorem on selectors, Bull. Polish Acad. Sci. 13 (1965), 397-403. (1965) Zbl0152.21403MR0188994
- Luxemburg W.A.J., On the convergence of successive approximations in the theory of ordinary differential equations, II, Indag. Math. 20 (1958), 540-546. (1958) MR0124554
- Petruşel A., On a theorem by Roman Wegrzyk, Demonstratio Math. 29 (1996), 637-641. (1996) MR1415506
- Wegrzyk R., Fixed point theorems for multivalued functions and their applications to functional equations, Diss. Math. 201 (1982), 1-28. (1982) MR0687277
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