On the existence of weak solutions of integral equations in Banach spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) no. 1, pp. 35-41
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In this paper we investigate weakly continuous solutions of some integral equations in Banach spaces. Moreover, we prove a fixed point theorem which is very useful in our considerations.
Classification :
45G10, 45N05, 47H10, 47H30, 47N20
Keywords: fixed point; Hammerstein integral equation; Volterra integral equation; measure of weak noncompactness; weak continuity
Keywords: fixed point; Hammerstein integral equation; Volterra integral equation; measure of weak noncompactness; weak continuity
@article{CMUC_1994__35_1_a3,
author = {Bugajewski, Dariusz},
title = {On the existence of weak solutions of integral equations in {Banach} spaces},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {35--41},
publisher = {mathdoc},
volume = {35},
number = {1},
year = {1994},
mrnumber = {1292580},
zbl = {0816.45012},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1994__35_1_a3/}
}
TY - JOUR AU - Bugajewski, Dariusz TI - On the existence of weak solutions of integral equations in Banach spaces JO - Commentationes Mathematicae Universitatis Carolinae PY - 1994 SP - 35 EP - 41 VL - 35 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMUC_1994__35_1_a3/ LA - en ID - CMUC_1994__35_1_a3 ER -
Bugajewski, Dariusz. On the existence of weak solutions of integral equations in Banach spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) no. 1, pp. 35-41. http://geodesic.mathdoc.fr/item/CMUC_1994__35_1_a3/