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Publication Type : Journal Article
Publisher : Springer Science and Business Media LLC
Source : Fixed Point Theory and Algorithms for Sciences and Engineering
Url : https://doi.org/10.1186/s13663-023-00757-8
Campus : Coimbatore
School : School of Physical Sciences
Department : Mathematics
Year : 2023
Abstract : In this article, we prove the existence of the best proximity point for the class of nonself generalized pseudo-contractive and Lipschitzian mappings. Also, we approximate the best proximity point through the proposed Ishikawa’s iteration process for the case of nonself-mappings. Finally, we provide an example to illustrate our main result.
Cite this Research Publication : V. Pragadeeswarar, R. Gopi, Existence and convergence of best proximity points for generalized pseudo-contractive and Lipschitzian mappings via an Ishikawa-type iterative scheme, Fixed Point Theory and Algorithms for Sciences and Engineering, Springer Science and Business Media LLC, 2023, https://doi.org/10.1186/s13663-023-00757-8