Mean ergodic theorem for semigroups of linear operators in multi-Banach spaces

DOI10.1186/1029-242X-2014-402zbMath1372.39003WikidataQ59320302 ScholiaQ59320302MaRDI QIDQ2405705

Yeol Je Cho, Mahdi Azhini, Hassan Morghi Kenari, Reza Saadati

Publication date: 26 September 2017

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

zbMATH Keywords

semigroupsergodic 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

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
• Unnamed Item
• Approximations of ternary Jordan homomorphisms and derivations in multi-\(C^*\) ternary algebras
• Amenable semigroups
• Nonlinear ergodic theorems for an amenable semigroup of nonexpansive mappings in a Banach space
• Asymptotic aspect of the quadratic functional equation in multi-normed spaces
• Mean ergodic theorems for semigroups of linear operators
• An ergodic theorem for semigroups of nonexpansive mappings in a Hilbert space
• On the asymptotic behavior of iterates of nonexpansive mappings in Hilbert space
• The mean ergodic theorem for nonexpansive mappings in multi-Banach spaces
• Convergence criteria of modified Noor iterations with errors for three asymptotically nonexpansive nonself-mappings
• Weak convergence theorems for two asymptotically quasi-nonexpansive non-self mappings in uniformly convex Banach spaces
• Multi-normed spaces
• Weak and strong convergence of an explicit iteration process for an asymptotically quasi-i-nonexpansive mapping in Banach spaces
• A Nonlinear Ergodic Theorem for an Amenable Semigroup of Nonexpansive Mappings in a Hilbert Space
• Invariant functions for amenable semigroups of positive contractions on $L^{1}$
• STABILITY OF MAPPINGS ON MULTI-NORMED SPACES