The purpose of this paper is to study the existence of solutions set of integrodifferential problems in Banach spaces. We obtain our results by using fixed point theorems for multivalued mappings, under new contractive conditions, in the setting of complete b-metric spaces. Also, we present a data dependence theorem for the solutions set of fixed point problems.
Cosentino, M., Jleli, M., Samet, B., Vetro, C. (2015). Solvability of integrodifferential problems via fixed point theory in b-metric spaces. FIXED POINT THEORY AND APPLICATIONS, 2015(1), 1-15 [10.1186/s13663-015-0317-2].
Solvability of integrodifferential problems via fixed point theory in b-metric spaces
VETRO, Calogero
2015-01-01
Abstract
The purpose of this paper is to study the existence of solutions set of integrodifferential problems in Banach spaces. We obtain our results by using fixed point theorems for multivalued mappings, under new contractive conditions, in the setting of complete b-metric spaces. Also, we present a data dependence theorem for the solutions set of fixed point problems.
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