On the existence of solutions for Volterra integral inclusions in Banach spaces
1993 ◽
Vol 6
(3)
◽
pp. 261-269
Keyword(s):
In this paper we examine a class of nonlinear integral inclusions defined in a separable Banach space. For this class of inclusions of Volterra type we establish two existence results, one for inclusions with a convex-valued orientor field and the other for inclusions with nonconvex-valued orientor field. We present conditions guaranteeing that the multivalued map that represents the right-hand side of the inclusion is α-condensing using for the proof of our results a known fixed point theorem for α-condensing maps.
1988 ◽
Vol 25
(02)
◽
pp. 257-267
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2014 ◽
Vol 19
(4)
◽
pp. 524-536
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2014 ◽
Vol 2014
◽
pp. 1-8
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2017 ◽
Vol 25
(2)
◽
pp. 5-24
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2017 ◽
2020 ◽
Vol 13
(08)
◽
pp. 2050162