Zobrazeno 1 - 10
of 302
pro vyhledávání: '"SUTHEP SUANTAI"'
Publikováno v:
AIMS Mathematics, Vol 9, Iss 8, Pp 22366-22392 (2024)
We considered a convex bilevel optimization problem when the outer level problem was to find a minimizer of a strongly convex function over the set of solutions of the inner level problem which was in the form of minimization of the sum of a convex d
Externí odkaz:
https://doaj.org/article/e1772dca09df421d867fb86f8b67cf83
Autor:
Puntita Sae-jia, Suthep Suantai
Publikováno v:
AIMS Mathematics, Vol 9, Iss 4, Pp 8476-8496 (2024)
In this paper, we propose a new accelerated algorithm for solving convex bilevel optimization problems using some fixed point and two-step inertial techniques. Our focus is on analyzing the convergence behavior of the proposed algorithm. We establish
Externí odkaz:
https://doaj.org/article/9733db00d7014feeaa0be9ec5855ce4c
Publikováno v:
AIMS Mathematics, Vol 8, Iss 8, Pp 18898-18918 (2023)
This study investigates the weak convergence of the sequences generated by the inertial relaxed $ CQ $ algorithm with Mann's iteration for solving the split feasibility problem in real Hilbert spaces. Moreover, we present the advantage of our algorit
Externí odkaz:
https://doaj.org/article/ff65a6472a9744f9ac1531772f3ed2a8
Autor:
Suthep Suantai, Watcharaporn Yajai, Pronpat Peeyada, Watcharaporn Cholamjiak, Petcharaporn Chachvarat
Publikováno v:
AIMS Mathematics, Vol 8, Iss 1, Pp 1102-1126 (2023)
Diabetes is one of the four major types of noncommunicable diseases (cardiovascular disease, diabetes, cancer and chronic respiratory diseases). It is chronic condition that occurs when the body does not produce enough insulin therefore results in ra
Externí odkaz:
https://doaj.org/article/3b9659d29070420c8dedb7539f3ff5de
Publikováno v:
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-17 (2021)
Abstract In this work, we modify the inertial hybrid algorithm with Armijo line search using a parallel method to approximate a common solution of nonmonotone equilibrium problems in Hilbert spaces. A weak convergence theorem is proved under some con
Externí odkaz:
https://doaj.org/article/c5e3ff96fd8d4be988c9ec8783816fc0
Publikováno v:
Mathematics, Vol 11, Iss 16, p 3518 (2023)
This paper introduces a novel two-step inertial algorithm for locating a common fixed point of a countable family of nonexpansive mappings. We establish strong convergence properties of the proposed method under mild conditions and employ it to solve
Externí odkaz:
https://doaj.org/article/f2ba64f76e164706889de95b83abc0c5
Publikováno v:
Mathematics, Vol 11, Iss 14, p 3241 (2023)
Fixed-point theory plays many important roles in real-world problems, such as image processing, classification problem, etc. This paper introduces and analyzes a new, accelerated common-fixed-point algorithm using the viscosity approximation method a
Externí odkaz:
https://doaj.org/article/62897087fe2c45b7b4d91f37a88fb306
Publikováno v:
Journal of Inequalities and Applications, Vol 2021, Iss 1, Pp 1-20 (2021)
Abstract In this work, we introduce a new accelerated algorithm using a linesearch technique for solving convex minimization problems in the form of a summation of two lower semicontinuous convex functions. A weak convergence of the proposed algorith
Externí odkaz:
https://doaj.org/article/d2b317e5017046c7b35406f6ad75ba9a
Publikováno v:
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-22 (2021)
Abstract The forward–backward algorithm is a splitting method for solving convex minimization problems of the sum of two objective functions. It has a great attention in optimization due to its broad application to many disciplines, such as image a
Externí odkaz:
https://doaj.org/article/2b9cbaae18ee4f13bb81f69f9ea83288
Publikováno v:
AIMS Mathematics, Vol 6, Iss 6, Pp 6180-6200 (2021)
We study and investigate a convex minimization problem of the sum of two convex functions in the setting of a Hilbert space. By assuming the Lipschitz continuity of the gradient of the function, many optimization methods have been invented, where the
Externí odkaz:
https://doaj.org/article/18ad27083361462b9cec71707c66461b