Existence, error estimation, rate of convergence, Ulam-Hyers stability, well-posedness and limit shadowing property related to a fixed point problem

DOI10.5269/bspm.50912OpenAlexW4220836015MaRDI QIDQ6189611

Nikhilesh Metiya, Binayak S. Choudhury, Sunirmal Kundu

Publication date: 8 February 2024

Published in: Boletim da Sociedade Paranaense de Matemática (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5269/bspm.50912

zbMATH Keywords

rate of convergencefixed pointwell-posednessmetric spaceerror correctionUlam-Hyers stabilitylimit shadowing property

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Topological representations of algebraic systems (54H10)

Related Items (1)

A unified fixed point result along with error estimation and propagation in the fixed point iteration

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On rate of convergence of various iterative schemes
• Fixed point theorems for \(\alpha\)-\(\psi\)-contractive type mappings
• Applications of fixed point theorems to the Hyers-Ulam stability of functional equations -- a survey
• On the rate of convergence of Mann, Ishikawa, Noor and SP-iterations for continuous functions on an arbitrary interval
• Fixed points of generalized \(\alpha \)-\(\psi \)-contractions
• Ulam-Hyers stability and well-posedness of fixed point problems for \(\alpha\)-\(\lambda\)-contraction mapping in metric spaces
• Modified \(\alpha\)-\(\psi\)-contractive mappings with applications
• Generalized Ulam-Hyers stability and well-posedness for fixed point equation via \(\alpha\)-admissibility
• A Darbo fixed point theory approach towards the existence of a functional integral equation in a Banach algebra
• \({\alpha}\)-admissible mappings and related fixed point theorems
• Fixed Point Theory in Ordered Sets and Applications
• On the Stability of the Linear Mapping in Banach Spaces
• Convergence rate of implicit iteration process and a data dependence result
• Coupled fixed point results for (varphi,G)-contractions of type (b) in b-metric spaces endowed with a graph
• WELL-POSEDNESS AND POROSITY OF A CERTAIN CLASS OF OPERATORS
• Isometries and approximate isometries
• Generalized Hyers-Ulam stability of trigonometric functional equations

This page was built for publication: Existence, error estimation, rate of convergence, Ulam-Hyers stability, well-posedness and limit shadowing property related to a fixed point problem