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

Fixexd point theory and applications

Mohamed Jleli¹  Bessem Samet²  Calogero Vetro²  Monica Cosentino³ 

[1] degli Studi di Palermo, Palermo, Italy;Department of Mathematics, College of Science, King Saud University, Riyadh, Saudi Arabia;Dipartimento di Matematica e Informatica, Università

关键词: b-metric space;    differential inclusion;    fixed point;    multivalued mapping;    47H10;    34A60;   

DOI  :  10.1186/s13663-015-0317-2

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY