Address.
Kasubai, Gurukul Colony,
Ahmedpur-413 515, Dist Latur,
Maharashtra, India
E-mail. bcd20012001@yahoo.co.in
Abstract.
In this paper, some new fixed point theorems concerning the nonlinear
alternative of Leray-Schauder type are proved in a Banach
algebra. Applications are given to nonlinear functional integral
equations in Banach algebras for proving the existence results.
Our results of this paper complement the results that appear
in Granas et. al. \cite{GGL} and Dhage and Regan \cite{DR}.
AMSclassification. 47H10.
Keywords. Banach algebra, fixed point theorem, integral equations.