Displaying similar documents to “Nonlinear Leray-Schauder alternatives and application to nonlinear problem arising in the theory of growing cell population”

Fixed points, eigenvalues and surjectivity for (ws)-compact operators on unbounded convex sets

Afif Amar (2013)

Open Mathematics

Similarity:

The paper studies the existence of fixed points for some nonlinear (ws)-compact, weakly condensing and strictly quasibounded operators defined on an unbounded closed convex subset of a Banach space. Applications of the newly developed fixed point theorems are also discussed for proving the existence of positive eigenvalues and surjectivity of quasibounded operators in similar situations. The main condition in our results is formulated in terms of axiomatic measures of weak noncompactness. ...

Some permanence results of properties of Banach spaces

Giovanni Emmanuele (2004)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

Using some known lifting theorems we present three-space property type and permanence results; some of them seem to be new, whereas other are improvements of known facts.