article · Mathematische Annalen · 2024

Iterative scheme generating method beyond Ishikawa iterative method

Cited by 1Open access

Abstract

We propose an iterative scheme generating method to address common fixed point problems. Our approach yields diverse iterative schemes for finding common fixed points. The derivative results include the Ishikawa iterative method and its variations. An application to the variational inequality problem is provided to illustrate the usefulness of our method. The class of mappings we target is general. This category includes nonexpansive mappings and various other types, even those that lack continuity.

Cite this paper

APA 7

Kondo, A. (2024). Iterative scheme generating method beyond Ishikawa iterative method. Mathematische Annalen, 391(2), 2007–2028. https://doi.org/10.1007/s00208-024-02977-8

MLA 9

Kondo, Atsumasa. “Iterative scheme generating method beyond Ishikawa iterative method.” Mathematische Annalen, vol. 391, no. 2, 2024, pp. 2007–28, https://doi.org/10.1007/s00208-024-02977-8.

Chicago

Kondo, Atsumasa. 2024. “Iterative scheme generating method beyond Ishikawa iterative method.” Mathematische Annalen 391 (2): 2007–28. https://doi.org/10.1007/s00208-024-02977-8.

Harvard

Kondo, A. (2024) ‘Iterative scheme generating method beyond Ishikawa iterative method’, Mathematische Annalen, 391(2), pp. 2007–2028. Available at: https://doi.org/10.1007/s00208-024-02977-8.

BibTeX

@article{kondo2024iterative,
  title = {{Iterative scheme generating method beyond Ishikawa iterative method}},
  author = {Kondo, Atsumasa},
  journal = {Mathematische Annalen},
  volume = {391},
  number = {2},
  pages = {2007--2028},
  year = {2024},
  doi = {10.1007/s00208-024-02977-8}
}

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