.
"Pure Mathematics" .
.
"behavior" .
"lower semicontinuous functions" .
_:N59cfe3afa2344d13ba52f7e00ef164db .
"accelerated algorithm" .
"accelerated optimization algorithms" .
"space" .
"On some accelerated optimization algorithms based on fixed point and linesearch techniques for convex minimization problems with applications" .
"convergence results" .
_:Nc8b938ee5a9b42029baed8151dd9d33e .
"new accelerated algorithm" .
.
"SP algorithm" .
"Springer Nature" .
.
"restoration problem" .
.
_:Nf2f61a003eab42a29a3d628c15df53c7 _:N06b70bbd2ddb43d5b29b65f3174f6a35 .
.
.
_:Nfc6ba9fab3c54ae5a351056c9ff958ff .
"Lipschitz" .
"literature" .
"convergence theorem" .
"convex" .
"Department of Mathematics, Faculty of Science, Nakhon Phanom University, Nakhon Phanom, Thailand" .
.
"efficiency" .
"convex minimization problem" .
.
"In this paper, we introduce and study a new accelerated algorithm based on forward\u2013backward and SP-algorithm for solving a convex minimization problem of the sum of two convex and lower semicontinuous functions in a Hilbert space. Under some suitable control conditions, a weak convergence theorem of the proposed algorithm based on a fixed point is established. Moreover, we choose the stepsize of our algorithm which is independent on the Lipschitz constant of the gradient of the objective function by using a linesearch technique, and then a weak convergence result of the proposed algorithm is analyzed. As applications, we apply the proposed algorithm for solving the image restoration problems and compare its convergence behavior with other well-known algorithms in the literature. By our experiment, the algorithms have a higher efficiency than the others." .
.
"weak convergence theorem" .
"2022-09-02T16:08" .
.
"weak convergence results" .
"minimization problem" .
_:Nfc6ba9fab3c54ae5a351056c9ff958ff "Yatakoat" .
"conditions" .
"articles" .
_:Nf2a4934cb58f443e975ef31ef9b38da4 .
"Advances in Continuous and Discrete Models" .
.
_:N59cfe3afa2344d13ba52f7e00ef164db "pub.1146355840" .
"Research Center in Mathematics and Applied Mathematics, Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai, Thailand" .
_:Nc688ab7c882a4afe8b7a8683af374818 "1" .
_:Nf2a4934cb58f443e975ef31ef9b38da4 .
"theorem" .
"results" .
.
"Department of Science and Mathematics, Rajamangala University of Technology Isan Surin Campus, Surin, Thailand" .
.
.
.
.
"image restoration problems" .
.
"function" .
"point" .
"1687-1839" .
"sum" .
_:N59cfe3afa2344d13ba52f7e00ef164db .
"algorithm" .
"Hanjing" .
"experiments" .
"Mathematical Sciences" .
_:N99cc28138a854457b6f59d5cb586a702 .
"Research Center in Mathematics and Applied Mathematics, Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai, Thailand" .
_:N01a47d0f094b4e95bed03f203217597f .
.
_:Nc688ab7c882a4afe8b7a8683af374818 .
"Department of Mathematics, Faculty of Science, Nakhon Phanom University, Nakhon Phanom, Thailand" .
_:N06b70bbd2ddb43d5b29b65f3174f6a35 .
"applications" .
"objective function" .
.
"control condition" .
"true"^^ .
"2022-03-17" .
"2022-03-17" .
_:Nf2a4934cb58f443e975ef31ef9b38da4 "2022" .
.
_:Nfc6ba9fab3c54ae5a351056c9ff958ff "Pornsak" .
_:Nf2f61a003eab42a29a3d628c15df53c7 .
_:Nc8b938ee5a9b42029baed8151dd9d33e "doi" .
"suitable control conditions" .
.
.
.
"2731-4235" .
.
_:N01a47d0f094b4e95bed03f203217597f _:Nfc6ba9fab3c54ae5a351056c9ff958ff .
_:N01a47d0f094b4e95bed03f203217597f _:Nf2f61a003eab42a29a3d628c15df53c7 .
.
"stepsize" .
.
_:Nc8b938ee5a9b42029baed8151dd9d33e .
"linesearch technique" .
.
"article" .
"Data Science Research Center, Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai, Thailand" .
_:N99cc28138a854457b6f59d5cb586a702 "Springer Nature - SN SciGraph project" .
"Hilbert space" .
"paper" .
"convergence behavior" .
"gradient" .
"semicontinuous functions" .
_:N59cfe3afa2344d13ba52f7e00ef164db "dimensions_id" .
"optimization algorithm" .
"high efficiency" .
"problem" .
_:Nfc6ba9fab3c54ae5a351056c9ff958ff .
_:Nc688ab7c882a4afe8b7a8683af374818 .
"Suthep" .
"https://doi.org/10.1186/s13662-022-03698-5" .
_:N06b70bbd2ddb43d5b29b65f3174f6a35 .