New fixed point iteration and its rate of convergence
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Publication:6051208
DOI10.1080/02331934.2022.2060830OpenAlexW4223425356MaRDI QIDQ6051208
Surjeet Singh Chauhan, Mohammad Asim, Naveen Kumar, Mohammad Imdad
Publication date: 19 September 2023
Published in: Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/02331934.2022.2060830
Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Operator spaces and completely bounded maps (46L07)
Cites Work
- A comparative study on the convergence rate of some iteration methods involving contractive mappings
- The convergence of the modified Mann and Ishikawa iterations in Banach spaces
- Fixed point problems of the Picard-Mann hybrid iterative process for continuous functions on an arbitrary interval
- On the rate of convergence of Mann, Ishikawa, Noor and SP-iterations for continuous functions on an arbitrary interval
- Iterative approximation of fixed points
- Common fixed points of new iterations for two asymptotically nonexpansive nonself-mappings in a Banach space
- Strong convergence of modified Mann iterations
- Stability results for the Ishikawa fixed point iteration procedure
- Fixed point of a new three-step iteration algorithm under contractive-like operators over normed spaces
- On the convergence of an iteration method for continuous mappings on an arbitrary interval
- Picard iteration converges faster than Mann iteration for a class of quasi-contractive operators
- Strong convergence and certain control conditions for modified Mann iteration
- Mann iteration converges faster than Ishikawa iteration for the class of Zamfirescu operators
- Fixed Points by a New Iteration Method
- STRONG CONVERGENCE THEOREMS FOR A QUASI CONTRACTIVE TYPE MAPPING EMPLOYING A NEW ITERATIVE SCHEME WITH AN APPLICATION
- CONVERGENCE OF MODIFIED MULTI-STEP ITERATIVE FOR A FINITE FAMILY OF ASYMPTOTICALLY QUASI-NONEXPANSIVE MAPPINGS
- Mean Value Methods in Iteration
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