We introduce new surjectivity results for a couple (T, S) where T and S are two weakly sequentially continuous operators and satisfy some homogeneity conditions. Also we present new operator quantities using the measure of weak noncompactness. Our results extend in a broad sense some theorems of Fučik, Nečas, Souček and Souček in the weak topology setting. In addition we present an application for generalized Hammerstein type integral equations.
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