Abstract
In this paper, we introduce two new classes of mappings known as λ-enriched strictly pseudocontractive mappings and ΦT-enriched Lipshitizian mappings in the setup of a real Banach space. In addition, a new modified mixed-type Ishikawa iteration scheme was constructed, and it was proved that our iteration method converges strongly to the common fixed points of finite families of the above mappings in the framework of a real uniformly convex Banach space. Moreover, we provided a non-trivial example to support our main result. Our results extend and generalize several results existing in the literature.
Subject
Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)
Reference34 articles.
1. Birkhoff–James orthogonality of linear operators on finite dimensional Banach spaces
2. Orthogonality in linear metric spaces
3. On the Mann iteration process in a Hilbert space
4. Approximating fixed points of enriched nonexpansive mappings by Krasnolselkii iteration in Hilbert spaces;Berinde;Carpathian J. Math.,2019
5. Convergence of a three-step iteration scheme to the common fixed points of mixed-type total asymptotically nonexpansive mappings;Igbokwe;J. Niger. Math. Soc.,2019
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