Abstract
The iterations scheme generated by an infinite sequence of operators satisfying some contractive conditions in a complete metric space is used to solve some integral equations of Hammerstein type.
Highlights
Iterations processes are powerful tools for solving both differential and integral equations in a complete metric space
First we prove by mathematical induction on n ∈ N0, with N0 = N \ {0} that for all u, v ∈ L1(Ω) and all n, m ∈ N0 we have
Assume that (2.15) is true for n = r, we prove it for n = r + 1
Summary
The iterations scheme generated by an infinite sequence of operators satisfying some contractive conditions in a complete metric space is used to solve some integral equations of Hammerstein type.
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