Stability of \(k\)-step fixed point iterative methods for some Prešić type contractive mappings

DOI10.1186/1029-242X-2014-149zbMath1309.47071WikidataQ59322487 ScholiaQ59322487MaRDI QIDQ2258700

Madalina Păcurar, Vasile Berinde

Publication date: 26 February 2015

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

zbMATH Keywords

stabilityfixed pointmetric spacecontractive mapping\(k\)-step fixed point iterative method

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Complete metric spaces (54E50) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (2)

Some fixed point results regarding convex contractions of Presić type ⋮ Approximating fixed points of enriched contractions in Banach spaces

Cites Work

• A Prešić type contractive condition and its applications
• Fixed point theorems and stability results for fixed point iteration procedures
• Some fixed point iteration procedures
• Iterative approximation of fixed points
• \(T\)-stability of Picard iteration in metric spaces
• Stability of the Mann and Ishikawa iteration procedures for \(\phi\)-strong pseudocontractions and nonlinear equations of the \(\phi\)-strongly accretive type
• Fixed point theorems and stability results for fixed point iteration procedures. II
• An extension of A. Ostrowski's theorem on the round-off stability of iterations
• Short proofs of stability results for fixed point iteration procedures for a class of contractive-type mappings
• The Round‐off Stability of Iterations
• Weak stability of the Ishikawa iteration procedures for \(\phi\)-hemicontractions and accretive operators
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