Common fixed point theorems on weakly contractive and nonexpansive mappings

DOI10.1155/2008/469357zbMath1144.54321OpenAlexW1995938958WikidataQ59213704 ScholiaQ59213704MaRDI QIDQ937561

Jian-Zhong Xiao, Xing-Hua Zhu

Publication date: 15 August 2008

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

Full work available at URL: https://eudml.org/doc/54472

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items

Approximating common fixed points of asymptotically quasi-nonexpansive mappings by a \(k+1\)-step iterative scheme with error terms ⋮ Weak condition for generalized multi-valued \((f,\alpha ,\beta )\)-weak contraction mappings ⋮ Common fixed point theorems for a finite family of discontinuous and noncommutative maps ⋮ Some combined relations between contractive mappings, Kannan mappings, reasonable expansive mappings, and \(T\)-stability ⋮ Total stability properties based on fixed point theory for a class of hybrid dynamic systems

Cites Work

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• Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
• Common fixed-point results in best approximation theory
• Some theorems on weakly contractive maps.
• The approximation of fixed points of compositions of nonexpansive mappings in Hilbert space
• Approximating fixed points of total asymptotically nonexpansive mappings
• On the projection methods for fixed point problems
• Krasnoselski-Mann Iterations in Normed Spaces
• Fixed Points and Iteration of a Nonexpansive Mapping in a Banach Space
• Fixed Points by a New Iteration Method
• On successive approximations for nonexpansive mappings in Banach spaces

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