Inertial Iterative Schemes for D-Accretive Mappings in Banach Spaces and Curvature Systems | Zendy

Li Wei | Zendy; Wenwen Yue | Zendy; Yingzi Shang | Zendy; Ravi P. Agarwal | Zendy

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Inertial Iterative Schemes for D-Accretive Mappings in Banach Spaces and Curvature Systems

Author(s) -

Li Wei,

Wenwen Yue,

Yingzi Shang,

Ravi P. Agarwal

Publication year - 2021

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2021/6682858

Subject(s) - mathematics , banach space , countable set , inertial frame of reference , regular polygon , convergence (economics) , scheme (mathematics) , curvature , uniformly convex space , fixed point , pure mathematics , mathematical analysis , eberlein–šmulian theorem , lp space , geometry , physics , quantum mechanics , economics , economic growth

We propose and analyze a new iterative scheme with inertial items to approximate a common zero point of two countable d-accretive mappings in the framework of a real uniformly smooth and uniformly convex Banach space. We prove some strong convergence theorems by employing some new techniques compared to the previous corresponding studies. We give some numerical examples to illustrate the effectiveness of the main iterative scheme and present an example of curvature systems to emphasize the importance of the study of d-accretive mappings.

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