We present new fixed point theorems for ws-compact operators. Our fixed point results are obtained under Sadovskii, Leray-Schauder, Rothe, Altman, Petryshyn, and Furi-Pera type conditions. An example is given to show the ...

We investigate the existence of positive solutions of singular problem (-1)(m)x((2m+1)) = f(t, x, ..., x((2m))), x(0) = 0, x((2i-1))(0) = x((2i-1))(T) = 0, 1 <= i <= m. Here, m >= 1 and the Caratheodory ...

We present some fixed point theorems for the sum A + B of a weakly-strongly continuous map and a nonexpansive map on a Banach space X. Our results cover several earlier works by Edmunds, Reinermann, Singh, and others.