Result: Iterative solutions via some variants of extragradient approximants in Hilbert spaces
Title:
Iterative solutions via some variants of extragradient approximants in Hilbert spaces
Authors:
Source:
AIMS Mathematics, Vol 7, Iss 8, Pp 13910-13926 (2022)
Publisher Information:
American Institute of Mathematical Sciences (AIMS), 2022.
Publication Year:
2022
Subject Terms:
Economics, Extrapolation, 0211 other engineering and technologies, Set (abstract data type), 02 engineering and technology, Fixed-Point Problems, Mathematical analysis, Quantum mechanics, Fixed Point Theorems in Metric Spaces, Interior-Point Methods, QA1-939, FOS: Mathematics, Iterative Algorithms, Economic growth, Numerical Analysis, parallel hybrid projection technique equilibrium problem, Numerical Optimization Techniques, Semidefinite Programming, fixed point problem, Equilibrium Problems, Physics, Projection (relational algebra), Hilbert space, Pure mathematics, Iterative Algorithms for Nonlinear Operators and Optimization, Fixed point, inertial extrapolation technique, Applied mathematics, Computer science, Iterative method, Programming language, strong convergence, Algorithm, Computational Theory and Mathematics, Computer Science, Physical Sciences, Convergence (economics), Geometry and Topology, Inertial frame of reference, Mathematics
Document Type:
Academic journal
Article<br />Other literature type
ISSN:
2473-6988
DOI:
10.3934/math.2022768
DOI:
10.60692/pqfam-nfw43
DOI:
10.60692/ct3nh-46f22
Accession Number:
edsair.doi.dedup.....b5dbb2d60d44ea0e84ac48fb3f7c5cc0
Database:
OpenAIRE
Further Information
This paper provides iterative solutions, via some variants of the extragradient approximants, associated with the pseudomonotone equilibrium problem (EP) and the fixed point problem (FPP) for a finite family of $ \eta $-demimetric operators in Hilbert spaces. The classical extragradient algorithm is embedded with the inertial extrapolation technique, the parallel hybrid projection technique and the Halpern iterative methods for the variants. The analysis of the approximants is performed under suitable set of constraints and supported with an appropriate numerical experiment for the viability of the approximants.