The mean ergodic theorem for nonexpansive mappings in multi-Banach spaces

DOI10.1186/1029-242X-2014-259zbMath1308.39004WikidataQ59321590 ScholiaQ59321590MaRDI QIDQ2262853

Yeol Je Cho, Hassan Morghi Kenari, Reza Saadati

Publication date: 16 March 2015

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

zbMATH Keywords

nonexpansive mappingergodic theoremmulti-Banach space

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Isomorphic theory (including renorming) of Banach spaces (46B03) Additive difference equations (39A10) Systems of functional equations and inequalities (39B72)

Related Items

Mean ergodic theorem for semigroups of linear operators in multi-Banach spaces ⋮ Strong ergodic theorem for commutative semigroup of non-Lipschitzian mappings in multi-Banach space ⋮ Application of the product net technique and Kadec-Klee property to study nonlinear ergodic theorems and weak convergence theorems in uniformly convex multi-Banach spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Asymptotic aspect of the quadratic functional equation in multi-normed spaces
• A simple proof of the mean ergodic theorem for nonlinear contractions in Banach spaces
• Weak convergence theorems for nonexpansive mappings in Banach spaces
• On the asymptotic behavior of iterates of nonexpansive mappings in Hilbert space
• Almost convergence and nonlinear ergodic theorems
• A note on segmenting Mann iterates
• Multi-normed spaces
• A Proof of the Mean Ergodic Theorem for Nonexpansive Mappings in Banach Space
• STABILITY OF MAPPINGS ON MULTI-NORMED SPACES