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Iterative approximation to common best proximity points of proximally mean nonexpansive mappings in Banach spaces

Publication Type : Journal Article

Publisher : AfrikaMatematika

Source : AfrikaMatematika, 32,1-2 (2021), 289-300

Url : https://link.springer.com/article/10.1007/s13370-020-00826-w#:~:text=In%20this%20paper%2C%20we%20introduce,mappings%20via%20this%20Ishikawa%20iteration.

Campus : Coimbatore

Year : 2021

Abstract : In this paper, we introduce the new class of mappings called proximally mean nonexpansive mappings. Further, we construct the Ishikawa iteration scheme associated with two non-self mappings, and we approximate a common best proximity point for a pair of proximally mean nonexpansive mappings via this Ishikawa iteration. As a consequence of our main result, we approximate a best proximity point for proximal mean nonexpansive mappings. Our new results complement and extend recent related results in the literature.

Cite this Research Publication : V. Pragadeeswarar,R. Gopi, Iterative approximation to common best proximity points of proximally mean nonexpansive mappings in Banach spaces, AfrikaMatematika, 32,1-2 (2021), 289-300.

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