The Schauder-Tikhonov theorem in locally convex topological spaces and an extension of Krasnosel’skiĭ’s fixed point theorem due to Nashed and Wong are used to establish existence of and C solutions to Volterra and Hammerstein integral equations in Banach spaces.
@article{bwmeta1.element.bwnjournal-article-apmv61z3p245bwm,
author = {Donal O'Regan},
title = {Weak and strong topologies and integral equations in Banach spaces},
journal = {Annales Polonici Mathematici},
volume = {62},
year = {1995},
pages = {245-260},
zbl = {0831.45006},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv61z3p245bwm}
}
Donal O'Regan. Weak and strong topologies and integral equations in Banach spaces. Annales Polonici Mathematici, Tome 62 (1995) pp. 245-260. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv61z3p245bwm/
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