Geodesic
Algorithmic and analytical approach to the proximal split feasibility problem and fixed point problem
Filomat, Tome 36 (2022) no. 2, p. 439

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DOI

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
DOI : 10.2298/FIL2202439Y
Classification : 47H06, 47H09, 49J05, 47J25
Keywords: proximal split feasibility problem, proximal mappings, fixed point, pseudocontractive operator 
Tzu-Chien Yin. Algorithmic and analytical approach to the proximal split feasibility problem and fixed point problem. Filomat, Tome 36 (2022) no. 2, p. 439 . doi: 10.2298/FIL2202439Y
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     title = {Algorithmic and analytical approach to the proximal split feasibility problem and fixed point problem},
     journal = {Filomat},
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     year = {2022},
     volume = {36},
     number = {2},
     doi = {10.2298/FIL2202439Y},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2202439Y/}
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