Existence of Fixed Points of Positive k -Set-Contractive Maps as Consequences of Suitable Boundary Conditions

DOI10.1112/jlms/s2-38.3.503zbMath0681.47024OpenAlexW2578130266MaRDI QIDQ4730341

W. V. Petryshyn

Publication date: 1988

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s2-38.3.503

zbMATH Keywords

coneindexcompletely continuousk-set contractions

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Semimetric spaces (54E25)

Related Items (11)

Eigenvectors of \(k-\psi \)-contractive wedge operators ⋮ New positive fixed point and eigenvalue results for Pγ-compact maps and some applications ⋮ Leggett--Williams norm-type fixed point theorems for multivalued mappings ⋮ Cone expansion and cone compression fixed point theorems for sum of two operators and their applications ⋮ A fixed point index for generalized inward mappings of condensing type ⋮ A note on the existence of multiple fixed points for multivalued maps with applications ⋮ Approximation theorems and fixed point theorems for multivalued condensing mappings in wedges ⋮ A multiplicity fixed point theorem in Fréchet spaces ⋮ Leggett--Williams theorems for coincidences of multivalued operators ⋮ Fixed points of cone compression and expansion multimaps defined on Fréchet spaces: the projective limit approach ⋮ Fixed point theory for admissible type maps with applications

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