Fixed point theorems for set-valued mappings

DOI10.1016/0022-247X(79)90148-3zbMath0423.47027OpenAlexW2008275553MaRDI QIDQ1134367

Simeon Reich

Publication date: 1979

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(79)90148-3

zbMATH Keywords

metric projectionupper semicontinuous mappinglocally convex Hausdorff topological vector spaceinward set

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (21)

Some remarks on set-valued mappings ⋮ A theorem on the minimization of a condensing multifunction and fixed points ⋮ Remarks on endpoints of multivalued mappings in geodesic spaces ⋮ Some applications of a coincidence theorem ⋮ Some hybrid fixed point theorems related to optimization ⋮ Fixed-point theorems and Morse's lemma for Lipschitzian functions ⋮ Best approximation theorems for composites of upper semicontinuous maps ⋮ Existence and multiplicity results for semilinear elliptic Dirichlet problems in exterior domains ⋮ Acyclic maps, minimax inequalities and fixed points ⋮ A fixed point index for generalized inward mappings of condensing type ⋮ Topologies related to the prox map and the restricted center map ⋮ On Ky Fan's theorem and its applications ⋮ Minimax-type inequalities for a family of functions with applications ⋮ Fixed point theorems for weakly inward multivalued maps on a \(CAT(0)\) space ⋮ Set-valued Meir-Keeler, Geraghty and Edelstein type fixed point results in \(b\)-metric spaces ⋮ Some Fixed Point Theorems for Composites of Acyclic Maps ⋮ Proximal maps, prox maps and coincidence points ⋮ The Prox map ⋮ Set-valued homology ⋮ Multivalued mappings ⋮ Fixed point and surjectivity results for e-quasibounded and (mws)-compact multivalued maps and applications

Cites Work

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• On fixed point theorems obtained from existence theorems for differential equations
• Approximate selections, best approximations, fixed points, and invariant sets
• The fixed point theory of multi-valued mappings in topological vector spaces
• Extensions of two fixed point theorems of F. E. Browder
• Fixed point theorems for set-valued maps in infinite dimensional spaces
• Fixed points in locally convex spaces
• Coincidence theorems, minimax theorems, and variational inequalities
• On a sharpened form of the Schauder fixed-point theorem
• ON THE CONTINUITY OF METRIC PROJECTION IN BANACH SPACE
• A Further Generalization of the Kakutani Fixed Point Theorem, with Application to Nash Equilibrium Points
• Fixed-point and Minimax Theorems in Locally Convex Topological Linear Spaces
• Fixed points of compact multifunctions

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