The coincidence problem for compositions of set-valued maps

DOI10.1017/S000497270001830XzbMath0688.54030MaRDI QIDQ4207371

Hichem Ben-El-Mechaiekh

Publication date: 1990

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

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Selections in general topology (54C65) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (18)

Coincidence theory for set-valued maps via compactness principles ⋮ Deterministic and random fixed points for maps on extension type spaces ⋮ Fixed point theory for extension type maps in topological spaces ⋮ Compact Browder maps and equilibria of abstract economies ⋮ Coincidence theory for compact morphisms ⋮ Geometric Properties, Minimax Inequalities, and Fixed Point Theorems on Convex Spaces ⋮ Lefschetz fixed point theorems in generalized neighborhood extension spaces with respect to a map ⋮ Fixed point theory for permissible extension type maps ⋮ Some Fixed Point Theorems for Composites of Acyclic Maps ⋮ Coincidence theory for multivalued maps satisfying compactness conditions on countable sets ⋮ Continuous selections and fixed points of multi-valued mappings on noncompact or nonmetrizable spaces ⋮ Unnamed Item ⋮ Approximation and fixed-point theorems for condensing composites of multifunctions ⋮ The best approximation and coincidence theorems for composites of acyclic mappings ⋮ Asymptotic Lefschetz fixed point theory for ANES(compact) maps ⋮ Generalized variational inequalities and fixed point theorems ⋮ The fixed point index for compact absorbing contractive admissible maps ⋮ Fixed point theory for composite maps on almost dominating extension spaces

Cites Work

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• Continuous selections. I
• Leray-Schauder theory without local convexity
• On the use of KKM multifunctions in fixed point theory and related topics
• Some properties of convex sets related to fixed point theorems
• A fixed point theorem equivalent to the Fan-Knaster-Kuratowski- Mazurkiewicz theorem
• Variational inequalities, complementarity problems, and duality theorems
• Minimax and fixed point theorems
• The fixed point theory of multi-valued mappings in topological vector spaces
• An extension of Tietze's theorem
• Retraction and extension of mappings of metric and nonmetric spaces
• A generalization of Brouwer's fixed point theorem
• Fixed-point and Minimax Theorems in Locally Convex Topological Linear Spaces

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