Bibliographic Details
| Title: |
A New Viscosity Approximation Method with Inertial Technique for Convex Bilevel Optimization Problems and Applications. |
| Authors: |
THONGSRI, PITI1 piti_tho@cmu.ac.th, SUANTAI, SUTHEP1 Suthep.s@cmu.ac.th |
| Superior Title: |
Carpathian Journal of Mathematics. 2024, Vol. 40 Issue 2, p477-491. 15p. |
| Subject Terms: |
*NONEXPANSIVE mappings, *BILEVEL programming, *MACHINE learning, *VISCOSITY, *COSINE function, *NON-communicable diseases |
| 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. [ABSTRACT FROM AUTHOR] |
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| Database: |
Academic Search Premier |