A fixed point theory for weakly inward \(S\)-contractive maps. (English) Zbl 0984.47039
The paper presents the ideas used in Granas’ topological transversality to establish a fixed point theory for demicontinuous weakly inward \(S\)-contractive maps in arbitrary Hilbert spaces and finally, as applications of this theory, presents new fixed point principles and eigenvalue results for that maps.
Reviewer: Nicoleta Negoescu (Iaşi)
Keywords:
Granas’ topological transversality; fixed point theory; demicontinuous weakly inward \(S\)-contractive maps; fixed point principles; eigenvalue resultsReferences:
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