A theorem on the minimization of a condensing multifunction and fixed points

DOI10.1016/0022-247X(85)90355-5zbMath0602.47039OpenAlexW2010888480MaRDI QIDQ1081826

V. M. Sehgal, S. P. Singh

Publication date: 1985

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(85)90355-5

zbMATH Keywords

fixed pointsquasi-completecontinuous condensing multifunction with a bounded rangeMinkowski' functional

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Fixed-point theorems (47H10)

Related Items (8)

New results in the theory of multivalued mappings. I: Topological characteristics and solvability of operator relations ⋮ Topologies related to the prox map and the restricted center map ⋮ On Ky Fan's theorem and its applications ⋮ Approximation theorems and fixed point theorems for multivalued condensing mappings in wedges ⋮ Approximation theorems and fixed point theorems for various classes of 1-set-contractive mappings in Banach spaces ⋮ Approximation and fixed-point theorems for condensing composites of multifunctions ⋮ Generalized Leray-Schauder principles for condensing admissible multifunctions ⋮ Approximation and fixed point theorems for countable condensing composite maps

Cites Work

• Unnamed Item
• Fixed point theorems for set-valued mappings
• On fixed point theorems obtained from existence theorems for differential equations
• Approximate selections, best approximations, fixed points, and invariant sets
• Extensions of two fixed point theorems of F. E. Browder
• Fixed points in locally convex spaces
• A Note on a Theorem of Ky Fan
• Some Fixed Point Theorems for Condensing Multifunctions in Locally Convex Spaces
• Fixed Point Theorems for Condensing Multifunctions

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