Periodic point, endpoint, and convergence theorems for dissipative set-valued dynamic systems with generalized pseudodistances in cone uniform and uniform spaces

DOI10.1155/2010/864536zbMath1193.37101OpenAlexW1963667695WikidataQ59219578 ScholiaQ59219578MaRDI QIDQ963624

Kazimierz Włodarczyk, Raobert Plebaniak

Publication date: 13 April 2010

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/223238

zbMATH Keywords

periodic pointsendpointsuniform spacespseudodistancesdissipative set-valued dynamical systems

Mathematics Subject Classification ID

General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05) Infinite-dimensional dissipative dynamical systems (37L99)

Related Items (18)

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Cites Work

• The set-valued dynamic systems and its applications to Pareto optima
• Cone uniform, cone locally convex and cone metric spaces, endpoints, set-valued dynamic systems and quasi-asymptotic contractions
• Cone metric spaces and fixed point theorems of contractive mappings
• Convergence theorems, best approximation and best proximity for set-valued dynamic systems of relatively quasi-asymptotic contractions in cone uniform spaces
• Iterative processes with nucleolar restrictions
• On the variational principle
• The periodic points and the invariant set of an \(\varepsilon\)-contractive map
• Fixed points of asymptotic contractions
• The Brézis-Browder order principle and extensions of Caristi's theorem.
• Set-valued topological contractions
• Dissipative dynamical systems. I: General theory
• Fixed Points and Stationary Points of Dissipative Multivalued Maps
• Fixed Point Theorems for Mappings Satisfying Inwardness Conditions
• Stable Sets and Stable Points of Set-Valued Dynamic Systems with Applications to Game Theory

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