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- Title
A New Viscosity Approximation Method with Inertial Technique for Convex Bilevel Optimization Problems and Applications.
- Authors
THONGSRI, PITI; SUANTAI, SUTHEP
- Abstract
This paper presents and analyzes a new viscosity approximation method with the inertial technique for finding a common fixed point of a countable family of nonexpansive mappings and then its strong convergence theorem is established under some suitable conditions. As a consequence, we employ our proposed algorithm for solving some convex bilevel optimization problems and then apply it for solving regression of a graph of cosine function and classification of some noncommunicable diseases by using the extreme learning machine model. We perform a comparative analysis with other algorithms to demonstrate the performance of our approach. Our numerical experiments confirm that our proposed algorithm outperforms other methods in the literature.
- Subjects
NONEXPANSIVE mappings; BILEVEL programming; MACHINE learning; VISCOSITY; COSINE function; NON-communicable diseases
- Publication
Carpathian Journal of Mathematics, 2024, Vol 40, Issue 2, p477
- ISSN
1584-2851
- Publication type
Article
- DOI
10.37193/CJM.2024.02.16