Solution of a functional integral inclusion in Banach space


	Open access
	Solution of a functional integral inclusion in Banach space


	Fixed Point Theory, Volume 19, No. 1, 2018, 185-192, February 1st, 2018 DOI: 10.24193/fpt-ro.2018.1.14 Authors: Ahmed M.A. El-Sayed and Nesreen F.M. El-Haddad Abstract: In this paper we study the existence of weak solutions x∈ C[I,E] for the nonlinear functional integral inclusion $x(t) \in a(t)+\int_{0}^{t}F(t,s,g(s,x(m(s))))ds,~~~t\in I=[0,T]$ where E is reflexive Banach space and the set-valued function F satisfy Caratheodory condition. Key Words and Phrases: Set-valued functions, weak solutions, functional integral inclusion, fixed point, Caratheodory condition. 2010 Mathematics Subject Classification: 46Txx, 47Hxx, 39Bxx, 47H30, 47H10. Published on-line: February 1st, 2018. Abstract pdf Fulltext pdf Back to volume's table of contents