Some hybrid fixed point theorems related to optimization

DOI10.1016/0022-247X(86)90174-5zbMath0631.47041MaRDI QIDQ1094659

H. W. Corley

Publication date: 1986

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

zbMATH Keywords

optimizationcontraction mappingfixed point problemhybrid fixed pointsmaximization with respect to a cone

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Optimality conditions for problems in abstract spaces (49K27) Optimality conditions (49K99)

Related Items (12)

Remarks on endpoints of multivalued mappings in geodesic spaces ⋮ Remarks on asymptotic regularity in A-metric spaces ⋮ Unnamed Item ⋮ Approximating common endpoints of multivalued generalized nonexpansive mappings in hyperbolic spaces ⋮ Stationary points of lower semicontinuous multifunctions ⋮ Common stationary point of multivalued asymptotically regular mappings ⋮ Endpoints of generalized Berinde nonexpansive mappings in hyperbolic spaces ⋮ Unnamed Item ⋮ End-point results for multivalued mappings in partially ordered metric spaces ⋮ Unnamed Item ⋮ Some common fixed point theorems for hybrid pairs of maps without the completeness assumption ⋮ Fixed points, fixed sets and iterated multifunction systems for nonself multivalued operators

Cites Work

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• Extensions of Lemke's algorithm for the linear complementarity problem
• Single-valued mappings, multivalued mappings and fixed-point theorems
• An extension of Tarski's fixed point theorem and its application to isotone complementarity problems
• A unified approach to the implementation of several restart fixed point algorithms and a new variable dimension algorithm
• Proper Efficient Points for Maximizations with Respect to Cones

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