Iterative algorithms for split equilibrium problems of monotone operators and fixed point problems of pseudo-contractions

Y Yao, H Li, M Postolache - Optimization, 2022 - Taylor & Francis
In this paper, we investigate the split equilibrium problems and fixed point problems in
Hilbert spaces. We provide a unified framework for solving such problem in which the …

On a useful lemma that relates quasi-nonexpansive and demicontractive map**s in Hilbert spaces

V Berinde - ar**s: Half a Century of Developments and Future Prospects
V Berinde - Symmetry, 2023 - mdpi.com
Demicontractive operators form an important class of nonexpansive type map**s whose
study led researchers to the creation of some beautiful results in the framework of metric …

An accelerated subgradient extragradient algorithm for strongly pseudomonotone variational inequality problems

J Abubakar, K Sombut… - Thai Journal of …, 2019 - thaijmath2.in.cmu.ac.th
In this article, we propose an accelerated subgradient extragradient algorithm for solving
variational inequality problems involving strongly pseudomonotone operator by introducing …

Applications of accelerated computational methods for quasi-nonexpansive operators to optimization problems

DR Sahu - Soft Computing, 2020 - Springer
This paper studies the convergence rates of two accelerated computational methods without
assuming nonexpansivity of the underlying operators with convex and affine domains in …