Open AccessAlgorithmic and analytical approach to the proximal split feasibility problem and fixed point problem
Author(s) -
Tzu-Chien Yin
Publication year - 2022
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2202439y
Subject(s) - mathematics , fixed point , hilbert space , lipschitz continuity , point (geometry) , operator (biology) , algorithm , iterative method , mathematical optimization , mathematical analysis , geometry , biochemistry , chemistry , repressor , transcription factor , gene
In this paper, we investigate the proximal split feasibility algorithm and fixed point problem in Hilbert spaces. We propose an iterative algorithm for finding a common element of the solution of the proximal split feasibility algorithm and fixed point of an L-Lipschitz pseudocontractive operator. We demonstrate that the considered algorithm converges strongly to a common point of the investigated problems under some mild conditions.