Continuation methods based on essential and \(0\)-epi maps

DOI10.1023/A:1006189718645zbMath0924.47032MaRDI QIDQ1281455

Donal O'Regan

Publication date: 4 November 1999

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

zbMATH Keywords

fixed pointsFréchet spacescontinuation methods0-epi mapsessential mapsmultivalued upper semicontinuous \(k\)-\(\Phi\)-contractive mappings

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Fixed-point theorems (47H10) Set-valued operators (47H04)

Related Items (8)

Topological essentiality and fixed point theory ⋮ A note on the existence of multiple fixed points for multivalued maps with applications ⋮ Generalized coincidence theory for set-valued maps ⋮ Nonlinear operator theory ⋮ A note on the topological transversality theorem for acyclic maps ⋮ Homotopy and existence of solutions for the nonlinear equation \(Lx\in Nx\) ⋮ An essential map approach for multimaps defined on closed subsets of Fréchet spaces ⋮ Continuation theorems for Mönch countable compactness-type set-valued maps

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