Fixed point theorems and ergodic theorems for nonlinear mappings in Banach spaces

DOI10.1007/978-4-431-53930-8_4zbMath1341.47067OpenAlexW1584934109MaRDI QIDQ3178354

Pavel Kocourek, Takahashi, Wataru, Jen-Chih Yao

Publication date: 12 July 2016

Published in: Advances in Mathematical Economics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-4-431-53930-8_4

zbMATH Keywords

weak convergencefixed pointnonexpansive mappingBanach spacenonspreading mappingmean convergence

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Nonlinear ergodic theorems (47H25)

Related Items

On generalized Bregman nonspreading mappings and zero points of maximal monotone operator in a reflexive Banach space ⋮ Unnamed Item ⋮ Attractive point and nonlinear ergodic theorems without convexity in reflexive Banach spaces ⋮ Fixed point theorems and convergence theorems for generalized nonspreading mappings in Banach spaces ⋮ Iterative approximations of attractive point of a new generalized Bregman nonspreading mapping in Banach spaces ⋮ Attractive point and mean convergence theorems for semigroups of mappings without continuity in Banach spaces ⋮ \(\Delta\)-convergence for generalized hybrid mappings in CAT(0) spaces ⋮ Approximation of common solution of a system of equilibrium problem and fixed point of generalized Bregman nonspreading mappings in Banach spaces

Cites Work

• Approximating common fixed points of nonexpansive mappings and nonspreading mappings in a Hilbert space
• A strong convergence theorem for relatively nonexpansive mappings in a Banach space
• Fixed point theorems for a class of nonlinear mappings related to maximal monotone operators in Banach spaces
• The common fixed point theory of singlevalued mappings and multivalued mappings
• Weak and strong convergence theorems for maximal monotone operators in a Banach space
• Strong convergence of an iterative sequence for maximal monotone operators in a Banach space
• Weak and strong convergence theorems for relatively nonexpansive mappings in Banach spaces
• A new projection and convergence theorems for the projections in Banach spaces
• Convergence theorems for sequences of nonlinear operators in Banach spaces
• Existence and Approximation of Fixed Points of Firmly Nonexpansive-Type Mappings in Banach Spaces
• Inequalities in Banach spaces with applications
• Strong Convergence of a Proximal-Type Algorithm in a Banach Space
• NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE
• Weak and strong convergence of solutions to accretive operator inclusions and applications

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