Journal article

EXISTENCE AND APPROXIMATION OF COMMON FIXED POINTS OF TWO MAPPINGS IN A CLASS OF GENERALIZED NONEXPANSIVE MAPPINGS ON BANACH SPACE


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Subtitle: CLASS OF GENERALIZED NONEXPANSIVE MAPPINGS

Author list: GEZAHEGN ANBERBER TADESSE, MENGISTU GOA SANGAGO AND BAHRU TSEGAYE LEYEW

Publisher: SCIK Publishing Corporation

Publication year: 2024

Journal acronym: AFPT

Volume number: 14

Issue number: 54

Start page: 1

End page: 37

Number of pages: 37

ISSN: 1927-6303

URL: https://scik.org/index.php/afpt/article/view/8813



In this paper, we introduce the generalized Suzuki type nonexpansive mappings and study existence and approximation of common fixed point of this class of generalized nonexpansive mappings. We use the three step iteration process of Abbas-Nazir for two mappings satisfying the generalized Suzuki type nonexpansive on nonempty subset of a Banach space. We prove some results related to strong and weak convergence of the iteration scheme to get the common fixed point of two mappings satisfying the generalized Suzuki type nonexpansive. Finally, we give an example of two mappings satisfying the given conditions.


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Last updated on 2024-21-11 at 15:43