Approximation method for monotone inclusion problems in real Banach spaces with applications
نویسندگان
چکیده
Abstract In this paper, we introduce an inertial Halpern-type iterative algorithm for approximating a zero of the sum two monotone operators in setting real Banach spaces that are 2-uniformly convex and uniformly smooth. Strong convergence sequence generated by our proposed is established means some new geometric inequalities proved paper independent interest. Furthermore, numerical simulations image restoration compressed sensing problems also presented. Finally, performance method compared with existing methods literature.
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ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2022
ISSN: ['1025-5834', '1029-242X']
DOI: https://doi.org/10.1186/s13660-022-02805-0