# An existence theorem for the Urysohn integral equation in Banach spaces

Commentationes Mathematicae Universitatis Carolinae (1984)

- Volume: 025, Issue: 1, page 19-27
- ISSN: 0010-2628

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topSzufla, Stanisław. "An existence theorem for the Urysohn integral equation in Banach spaces." Commentationes Mathematicae Universitatis Carolinae 025.1 (1984): 19-27. <http://eudml.org/doc/17295>.

@article{Szufla1984,

author = {Szufla, Stanisław},

journal = {Commentationes Mathematicae Universitatis Carolinae},

keywords = {fixed point theorems; measures of non-compactness; nonlinear integral equation of Urysohn type; generalized Orlicz space; Banach-space valued functions},

language = {eng},

number = {1},

pages = {19-27},

publisher = {Charles University in Prague, Faculty of Mathematics and Physics},

title = {An existence theorem for the Urysohn integral equation in Banach spaces},

url = {http://eudml.org/doc/17295},

volume = {025},

year = {1984},

}

TY - JOUR

AU - Szufla, Stanisław

TI - An existence theorem for the Urysohn integral equation in Banach spaces

JO - Commentationes Mathematicae Universitatis Carolinae

PY - 1984

PB - Charles University in Prague, Faculty of Mathematics and Physics

VL - 025

IS - 1

SP - 19

EP - 27

LA - eng

KW - fixed point theorems; measures of non-compactness; nonlinear integral equation of Urysohn type; generalized Orlicz space; Banach-space valued functions

UR - http://eudml.org/doc/17295

ER -

## References

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- J. BANEŠ, On densifying and related mappings and their applications in nonlinear functional analysis, Theory of nonlinear operators, Akademie-Verlag, Berlin 1974, 15-56. (1974) MR0361946
- A. KOZEK, Orlicz spaces of functions with values in Banach spaces, Comm. Math. 19 (1977), 259-286. (1977) Zbl0352.46018MR0477762
- M. A. KRASNOSELSKII J. B. RUTICKII, Convex functions and Orlicz spaces, Moskva 1958. (1958) MR0106412
- W. ORLICZ S. SZUTLA, On some classes of nonlinear Volterre integral equations in Banach spaces, Bull. Acad. Polon. Sci. Math. 30 (1982), 239-250. (1982) MR0673260
- B. N. SADOVSKII, Limit-compact and condensing operatoгs, Russian Math. Surveys 27 (1972), 85-155. (1972) MR0428132

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