Convergence analysis of the Picard-Ishikawa hybrid iterative process with applications
DOI10.1007/s13370-019-00686-zzbMath1445.47047OpenAlexW2922682330WikidataQ128133969 ScholiaQ128133969MaRDI QIDQ2322293
Publication date: 4 September 2019
Published in: Afrika Matematika (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13370-019-00686-z
rate of convergencestrong convergenceweak convergencedelay differential equationsdata dependencePicard-Ishikawa hybrid iterative processstability of iterative processes
Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Applications of operator theory to differential and integral equations (47N20) Theoretical approximation of solutions to functional-differential equations (34K07) Fixed-point iterations (47J26)
Related Items (17)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Convergence and summable almost \(T\)-stability of the random Picard-Mann hybrid iterative process
- Strong convergence and stability of Kirk-multistep-type iterative schemes for contractive-type operators
- Comparison of the rate of convergence among Picard, Mann, Ishikawa, and Noor iterations applied to quasicontractive maps
- Iterative approximation of fixed points
- The comparison of the convergence speed between Picard, Mann, Krasnoselskij and Ishikawa iterations in Banach spaces
- Data dependence for Ishikawa iteration when dealing with contractive-like operators
- Comments on two fixed point iteration methods
- Stability of the Mann and Ishikawa iteration procedures for \(\phi\)-strong pseudocontractions and nonlinear equations of the \(\phi\)-strongly accretive type
- Delay equation analysis of human respiratory stability
- A delay differential equation model for tumor growth
- New approximation schemes for general variational inequalities
- Global periodic solutions for a differential delay system modeling a microbial population in the chemostat
- A model of HIV-1 pathogenesis that includes an intracellular delay
- Convergence and almost sure \(T\)-stability for a random iterative sequence generated by a generalized random operator
- Convergence and stability theorems for the Picard-Mann hybrid iterative scheme for a general class of contractive-like operators
- A solution of delay differential equations via Picard-Krasnoselskii hybrid iterative process
- Stability of Jungck-type iterative procedures
- Picard iteration converges faster than Mann iteration for a class of quasi-contractive operators
- A Picard-Mann hybrid iterative process
- Estimating kinetic parameters from HIV primary infection data through the eyes of three different mathematical models
- Mann iteration converges faster than Ishikawa iteration for the class of Zamfirescu operators
- Fixed Point Iteration for Local Strictly Pseudo-Contractive Mapping
- Fixed Points by a New Iteration Method
- Delayed Coupling Between Two Neural Network Loops
- Convergence and (S, T)-stability almost surely for random Jungck-type iteration processes with applications
- Mean Value Methods in Iteration
- Interaction of maturation delay and nonlinear birth in population and epidemic models
This page was built for publication: Convergence analysis of the Picard-Ishikawa hybrid iterative process with applications