Convergence of Two Splitting Projection Algorithms in Hilbert Spaces

Marwan A. Kutbi, Abdul Latif and Xiaolong Qin
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Marwan A. Kutbi: Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia
Abdul Latif: Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia
Xiaolong Qin: Department of Mathematics, Hangzhou Normal University, Hangzhou 311121, China

Mathematics, 2019, vol. 7, issue 10, 1-13

Abstract: The aim of this present paper is to study zero points of the sum of two maximally monotone mappings and fixed points of a non-expansive mapping. Two splitting projection algorithms are introduced and investigated for treating the zero and fixed point problems. Possible computational errors are taken into account. Two convergence theorems are obtained and applications are also considered in Hilbert spaces

Keywords: extragradient method; maximally monotone operator; proximal point algorithm; variational inequality; zero point (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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