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New iterative methods for finding a common zero of a finite family of monotone operators in Hilbert spaces
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The purpose of this paper is to give some new iterative methods for finding a common zero of a finite family of monotone operators in Hilbert spaces. We also give the applications of the obtained result for the convex feasibility problem and constrained convex optimization problem in Hilbert spaces.
Abstract
The purpose of this paper is to give some new iterative methods for finding a common zero of a finite family of monotone operators in Hilbert spaces. We also give the applications of the obtained result for the convex feasibility problem and constrained convex optimization problem in Hilbert spaces.
참고문헌 (26)
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관련 논문AI추천
A hybrid projection method for common zero of monotone operators in Hilbert spacesTruong Minh Tuyen대한수학회 · 대한수학회논문집2017 · 제32권 제2호General iterative algorithms for monotone inclusion, variational inequality and fixed point problems정종수대한수학회 · 대한수학회지2021 · 제58권 제3호Weak and Strong Convergence of Hybrid Subgradient Method for Pseudomonotone Equilibrium Problems and Nonspreading- Type Mappings in Hilbert SpacesSomnuk Srisawat, Wanna Sriprad경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2019 · 제59권 제1호On the Convergence of an Optimization Algorithm Based on Nonlinear Operators조선영영남수학회 · East Asian Mathematical Journal2020 · 제36권 제5호A hybrid projection method for relaxed cocoercive mappings and strictly pseudo-contractive mappingsYing Liu영남수학회 · East Asian Mathematical Journal2012 · 제28권 제3호Weak and strong convergence theorems for a system of mixed equilibrium problems and a nonexpansive mapping in Hilbert spacesKamonrat Sombut, Somyot Plubtieng대한수학회 · 대한수학회보2013 · 제50권 제2호
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