Modification of the Convergence of GG-PPA for Solving Generalized Equations

نویسندگان

چکیده

A modified Gauss-type Proximal Point Algorithm (modified GG-PPA) is presented in this paper for solving the generalized equations like 0 ∈ T(x), where T a set-valued mapping acts between two different Banach spaces X and Y. By considering some necessary assumptions, we show existence of any sequence generated by GG-PPA prove semi-local local convergence results using metrically regular mapping. In addition, give numerical example to justify result convergence.

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ژورنال

عنوان ژورنال: Journal of Applied Mathematics and Physics

سال: 2023

ISSN: ['2327-4379', '2327-4352']

DOI: https://doi.org/10.4236/jamp.2023.111015