Complexity of the relaxed Peaceman–Rachford splitting method for the sum of two maximal strongly monotone operators
Sign Up to like & getrecommendations! Published in 2018 at "Computational Optimization and Applications"
DOI: 10.1007/s10589-018-9996-z
Abstract: This paper considers the relaxed Peaceman–Rachford (PR) splitting method for finding an approximate solution of a monotone inclusion whose underlying operator consists of the sum of two maximal strongly monotone operators. Using general results obtained… read more here.
Keywords: splitting method; relaxed peaceman; peaceman rachford; monotone ... See more keywords
New fixed point theorems for the sum of two mixed monotone operators of Meir–Keeler type and their applications to nonlinear elastic beam equations
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DOI: 10.1007/s11784-020-00835-z
Abstract: In this paper, we present a new fixed point theorem for the sum of two mixed monotone operators of Meir–Keeler type on ordered Banach spaces through projective metric, which extends the existing corresponding results. As… read more here.
Keywords: two mixed; new fixed; sum two; mixed monotone ... See more keywords
Inertial methods for fixed point problems and zero point problems of the sum of two monotone mappings
Sign Up to like & getrecommendations! Published in 2019 at "Optimization"
DOI: 10.1080/02331934.2019.1573240
Abstract: ABSTRACT The purpose of this paper is to investigate the problem of finding a common element of the set of zero points of the sum of two operators and the fixed point set of a… read more here.
Keywords: inertial methods; sum two; point problems; methods fixed ... See more keywords