Displaying similar documents to “Fixed point theorems for ws-compact mappings in Banach spaces.”

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

Afif Amar (2013)

Open Mathematics

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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. ...

Fixed point theorems for weakly sequentially closed maps

Donal O'Regan (2000)

Archivum Mathematicum

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A number of fixed point theorems are presented for weakly contractive maps which have weakly sequentially closed graph. Our results automatically lead to new existence theorems for differential inclusions in Banach spaces relative to the weak topology.