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A Subgradient-Type Extrapolation Cyclic Method for Solving an Equilibrium Problem over the Common Fixed-Point Sets. Symmetry (Basel) 2022. [DOI: 10.3390/sym14050992] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/01/2023] Open
Abstract
In this paper, we consider the solving of an equilibrium problem over the common fixed set of cutter mappings in a real Hilbert space. To this end, we present a subgradient-type extrapolation cyclic method. The proposed method is generated based on the ideas of a subgradient method and an extrapolated cyclic cutter method. We prove a strong convergence of the method provided that some suitable assumptions of step-size sequences are assumed. We finally show the numerical behavior of the proposed method.
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Censor Y, Schubert KE, Schulte RW. Developments in Mathematical Algorithms and Computational Tools for Proton CT and Particle Therapy Treatment Planning. IEEE TRANSACTIONS ON RADIATION AND PLASMA MEDICAL SCIENCES 2022. [DOI: 10.1109/trpms.2021.3107322] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
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Udom AU, Nweke CJ. Convergence results for stochastic convex feasibility problem using random Mann and simultaneous projection iterative algorithms in Hilbert space. COMMUN STAT-THEOR M 2021. [DOI: 10.1080/03610926.2021.1990956] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
Affiliation(s)
- Akaninyene Udo Udom
- Department of Statistics, University of Nigeria, Nsukka, Enugu State, Nigeria
| | - Chijioke Joel Nweke
- Department of Mathematics and Statistics, Alex Ekwueme Federal University Ndufu-Alike, Ikwo, Ebonyi State, Nigeria
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