Iterative approximation of fixed points of \(\varphi\)-hemiconstractive maps in Banach spaces

zbMATH Open1002.47053MaRDI QIDQ2739150

Haiyun Zhou

Publication date: 13 January 2003

Published in: Journal of Mathematical Research \& Exposition (Search for Journal in Brave)

zbMATH Keywords

errorsunique fixed pointuniformly smooth Banach spaceIshikawa iterative sequenceReich's inequality\(\varphi\)-strongly quasi-accretive mappingbounded \(\varphi\)-hemicontractive map

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (12)

Title not available (Why is that?) ⋮ Title not available (Why is that?) ⋮ An iterative algorithm for hemicontractive mappings in Banach spaces ⋮ Iterative approximation of fixed points of contraction mappings in complex valued Banach spaces ⋮ Convergence properties and fixed points of two general iterative schemes with composed maps in Banach spaces with applications to guaranteed global stability ⋮ Iteration schemes for two hemicontractive mappings in arbitrary Banach spaces ⋮ Local iterations for fixed points of uniformly hemicontractive maps in arbitrary normed linear spaces ⋮ ITERATIVE APPROXIMATION OF FIXED POINTS FOR φ-HEMICONTRACTIVE OPERATORS IN BANACH SPACES ⋮ On a general Ishikawa fixed point iteration process for continuous hemicontractive maps in Hilbert spaces ⋮ Approximating fixed points of \(\Phi\)-hemicontractive mappings by the Ishikawa iteration process with errors in uniformly smooth Banach spaces ⋮ Title not available (Why is that?) ⋮ Title not available (Why is that?)

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