Convergence To Approximate Solutions of Multivalued Operators

Zena Hussein Maibed

doi:10.30526/36.2.3023

Authors

Zena Hussein Maibed Department of Mathematics, College of Education for Pure Science Ibn Al-Haitham, University of Baghdad

DOI:

https://doi.org/10.30526/36.2.3023

Keywords:

Projection Mapping, Iterative Method, Nonexpamsive Mapping, Monotone Operators ,s-convergence, Fixed Point.

Abstract

The goal of this study is to provide a new explicit iterative process method approach for solving maximal monotone(M.M )operators in Hilbert spaces utilizing a finite family of different types of mappings as( nonexpansive mappings,resolvent mappings and projection mappings. The findings given in this research strengthen and extend key previous findings in the literature. Then, utilizing various structural conditions in Hilbert space and variational inequality problems, we examine the strong convergence to nearest point projection for these explicit iterative process methods Under the presence of two important conditions for convergence, namely closure and convexity. The findings reported in this research strengthen and extend key previous findings from the literature

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