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## Shrinking projection method for proximal split feasibility and fixed point problems

#### Jinzuo Chen [1]

In this paper, we consider and study proximal split feasibility and fixed point problem. For solving the problems, we introduce an iterative algorithm with shrinking projection technique. It is proven that the sequence generated by the proposed iterative algorithm converges strongly to the common solution of the proximal split feasibility and fixed point problems.

shrinking projection method, proximal split feasibility problem, fixed point problem, k-strictly pseudo-contractive mapping
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Primary Language en Mathematics Articles Author: Jinzuo Chen (Primary Author)Institution: School of Mathematics and Statistics, Lingnan Normal University,Country: China Publication Date : August 30, 2019
 Bibtex @research article { rna602213, journal = {Results in Nonlinear Analysis}, issn = {}, eissn = {2636-7556}, address = {}, publisher = {Erdal KARAPINAR}, year = {2019}, volume = {2}, pages = {92 - 101}, doi = {}, title = {Shrinking projection method for proximal split feasibility and fixed point problems}, key = {cite}, author = {Chen, Jinzuo} } APA Chen, J . (2019). Shrinking projection method for proximal split feasibility and fixed point problems. Results in Nonlinear Analysis , 2 (2) , 92-101 . Retrieved from https://dergipark.org.tr/en/pub/rna/issue/45041/602213 MLA Chen, J . "Shrinking projection method for proximal split feasibility and fixed point problems". Results in Nonlinear Analysis 2 (2019 ): 92-101 Chicago Chen, J . "Shrinking projection method for proximal split feasibility and fixed point problems". Results in Nonlinear Analysis 2 (2019 ): 92-101 RIS TY - JOUR T1 - Shrinking projection method for proximal split feasibility and fixed point problems AU - Jinzuo Chen Y1 - 2019 PY - 2019 N1 - DO - T2 - Results in Nonlinear Analysis JF - Journal JO - JOR SP - 92 EP - 101 VL - 2 IS - 2 SN - -2636-7556 M3 - UR - Y2 - 2019 ER - EndNote %0 Results in Nonlinear Analysis Shrinking projection method for proximal split feasibility and fixed point problems %A Jinzuo Chen %T Shrinking projection method for proximal split feasibility and fixed point problems %D 2019 %J Results in Nonlinear Analysis %P -2636-7556 %V 2 %N 2 %R %U ISNAD Chen, Jinzuo . "Shrinking projection method for proximal split feasibility and fixed point problems". Results in Nonlinear Analysis 2 / 2 (August 2019): 92-101 . AMA Chen J . Shrinking projection method for proximal split feasibility and fixed point problems. RNA. 2019; 2(2): 92-101. Vancouver Chen J . Shrinking projection method for proximal split feasibility and fixed point problems. Results in Nonlinear Analysis. 2019; 2(2): 101-92.