FIXED POINT THEOREMS FOR GENERAL CLASSES OF MAPS ACTING ON TOPOLOGICAL VECTOR SPACES

DOI10.1142/S1793557111000307zbMath1296.47045MaRDI QIDQ2891016

Mohamed-Aziz Taoudi, Donal O'Regan, Ravi P. Agarwal

Publication date: 12 June 2012

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

locally convex topological vector spaceweak compactnessfixed point theoremmultivalued mapping\(\mathcal U_c^k\) map

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Set-valued operators (47H04) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (3)

Fixed point theorems and the Krein-Šmulian property in locally convex spaces ⋮ Existence of weak solutions for an infinite system of second order differential equations ⋮ Orthogonal sets; orthogonal contractions

Cites Work

• Unnamed Item
• Some fixed point theorems of the Schauder and the Krasnosel'skii type and application to nonlinear transport equations
• Fixed point theorems of Rothe and Altman types about convex-power condensing operator and application
• Existence results for a generalized nonlinear Hammerstein equation on \(L_{1}\) spaces
• Existence of fixed points and measures of weak noncompactness
• Integrable solutions of a mixed type operator equation
• Integrable solutions of a nonlinear functional integral equation on an unbounded interval
• On measures of weak noncompactness
• Weakly compact sets. Lectures held at S.U.N.Y., Buffalo, in spring 1978
• Approachability and fixed points for non-convex set-valued maps
• Fixed-point theory for multivalued mappings in completely regular topological vector spaces
• FIXED POINT THEORY FOR MULTIMAPS IN EXTENSION TYPE SPACES
• A survey of the theory of spectral operators
• Furi-Pera-Type Theorems For The U^k_c- Admissible Maps of Park
• Degree of Mapping in Convex Linear Topological Spaces

This page was built for publication: FIXED POINT THEOREMS FOR GENERAL CLASSES OF MAPS ACTING ON TOPOLOGICAL VECTOR SPACES