6533b861fe1ef96bd12c5a37

RESEARCH PRODUCT

Solvability of integrodifferential problems via fixed point theory in b-metric spaces

Bessem SametCalogero VetroMonica CosentinoMohamed Jleli

subject

Pure mathematicsb-metric spaceApplied Mathematicsmultivalued mappingMathematical analysisBanach spaceFixed-point theoremFixed pointFixed-point propertyMetric spaceSchauder fixed point theoremfixed pointDifferential inclusionSettore MAT/05 - Analisi Matematicadifferential inclusionGeometry and TopologyCoincidence pointMathematics

description

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.

yearjournalcountryeditionlanguage
2015-05-14Fixed Point Theory and Applications
https://doi.org/10.1186/s13663-015-0317-2