Stability Analysis of Modified General Version of Gauss-type Proximal Point Method for Solving Generalized Equations Using Metrically Regular Mapping

Alom, Md. Asraful and Rahman, Md. Zaidur (2023) Stability Analysis of Modified General Version of Gauss-type Proximal Point Method for Solving Generalized Equations Using Metrically Regular Mapping. Asian Journal of Mathematics and Computer Research, 30 (2). pp. 38-52. ISSN 2395-4213

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Abstract

A modified general version of Gauss-type proximal point algorithm (GGPPA) is presented in this article for solving the parameterized generalized equation y ∈ F(x), where y is a parameter and a set-valued mapping F: X ⇉ 2Y is acting between two different Banach spaces X and Y. We demonstrate the existence of any sequence produced by the modified GGPPA by taking certain presumptions into account, and we use metrically regular mapping to demonstrate the uniformity of semi-local and local convergence findings. Finally, we present a numerical experiment to verify the uniformity of semi-local convergence result.

Item Type: Article
Subjects: European Repository > Mathematical Science
Depositing User: Managing Editor
Date Deposited: 09 Dec 2023 03:36
Last Modified: 09 Dec 2023 03:36
URI: http://go7publish.com/id/eprint/3860

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