Multi-step inertial Krasnosel’skiǐ–Mann iteration with new inertial parameters arrays
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-021-00879-9
Abstract: Recently, the authors (Dong et al. in J Global Optim 73(4):801–824, 2019) introduced the multi-step inertial Krasnosel’skiǐ–Mann iteration, where the inertial parameters involve the iterative sequence. Therefore, one has to compute the inertial parameters per… read more here.
Keywords: mann iteration; inertial parameters; ski mann; krasnosel ski ... See more keywords
On the optimal relaxation parameters of Krasnosel'ski–Mann iteration
Sign Up to like & getrecommendations! Published in 2020 at "Optimization"
DOI: 10.1080/02331934.2020.1767101
Abstract: ABSTRACT This paper is devoted to the optimal selection of the relaxation parameter sequence for Krasnosel'ski–Mann iteration. Firstly, we establish the optimal relaxation parameter sequence of the Krasnosel'ski–Mann iteration, with which the algorithm is proved… read more here.
Keywords: relaxation; optimal relaxation; krasnosel ski; mann iteration ... See more keywords
Fixed Point Theorems for Mann's Iteration Scheme in Convex Gb-Metric Spaces with an Application
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DOI: 10.3390/axioms12020108
Abstract: In this paper, we present a series of fixed point results for Mann’s iteration scheme in the framework of Gb-metric spaces. First, we introduce the concept of convex Gb-metric space by means of a convex… read more here.
Keywords: iteration scheme; convex metric; fixed point; mann iteration ... See more keywords