New fixed-points results for 1-set contractive set valued maps

DOI10.1016/S0898-1221(97)00287-3zbMath0951.47050MaRDI QIDQ1129480

Donal O'Regan

Publication date: 20 August 1998

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

set-valued mapsrandom fixed point1-set contractionrandom continuous hemicompact 1-set contractive map

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Fixed-point theorems (47H10) Set-valued operators (47H04) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Random nonlinear operators (47H40)

Related Items (10)

Random fixed point theory for multivalued maps ⋮ A fixed point theorem for multivalued maps in hyperconvex spaces ⋮ Dynamics in coupled oscillators with recurrent/random forcing, a PDE approach. ⋮ Krasnoselskii type fixed point theorems for multi-valued mappings with weakly sequentially closed graph ⋮ MULTIVALUED FIXED POINT IN BANACH ALGEBRA USING CONTINUOUS SELECTION AND ITS APPLICATION TO DIFFERENTIAL INCLUSION ⋮ Fixed-point theory for closed inward set valued maps ⋮ Traveling waves in diffusive random media ⋮ Random fixed points of set-valued maps ⋮ Multivalued operators and fixed-point theorems in Banach algebras. II ⋮ Fixed point and surjectivity results for e-quasibounded and (mws)-compact multivalued maps and applications

Cites Work

• Random fixed point theorems with an application to random differential equations in Banach spaces
• Random fixed-point theorems and approximation in cones
• Fixed points for set-valued mappings in locally convex linear topological spaces
• Fixed-point theory for the sum of two operators
• Fixed points in locally convex spaces
• Multivalued Nonexpansive Mappings and Opial's Condition
• Proximity Maps for Convex Sets
• A continuation method on locally convex spaces and applications to ordinary differential equations on noncompact intervals
• Random Approximations and Random Fixed Point Theorems for Non-Self-Maps
• A Degree Theory, Fixed Point Theorems, and Mapping Theorems for Multivalued Noncompact Mappings
• Fixed point theorems for condensing multivalued mappings on a locally convex topological space
• Some Fixed Point Theorems for Condensing Multifunctions in Locally Convex Spaces
• Some fixed point theorems for concentrative mappings between locally convex linear topological spaces
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