Existence theorems for weakly inward semilinear operators (Q1422503)

Let \(X\) and \(Y\) be Banach spaces. Let \(L:D(L)\subset X \to Y\) be an unbounded Fredholm operator and let \(N\) be an operator from \(X\) into \(Y\) such that \(L\) and \(N\) satisfy a weakly inward condition. Using fixed point index theory, results on the existence of coincidence points and multiple coincidence points of the pair \((L,N)\) are established.