On Existence of Extremal Solutions of Nonlinear Functional Integral Equations in Banach Algebras
نویسنده
چکیده
An algebraic fixed point theorem involving the three operators in a Banach algebra is proved using the properties of cones and they are further applied to a certain nonlinear integral equations of mixed type x(t) = k(t,x(μ(t))) + [ f (t,x(θ(t)))](q(t) + ∫ σ(t) 0 v(t, s)g(s,x(η(s)))ds) for proving the existence of maximal and minimal solutions. Our results include the earlier fixed point theorems of Dhage (1992 and 1999) as special cases with a different but simple method.
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تاریخ انتشار 2004