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## The Delta-convergence of proximal point iteration based on the variational inequality in CAT(0) Spaces

#### Yue Zhang [1] , Dingping Wu [2]

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In this paper, we build the inexact proximal point algorithm of Mann-type and Ishikawa-type iteration based on the variational inequality in Hadamard spaces and prove Delta-convergence to a fixed point of the nonexpansive mapping.

Mann-type, Ishikawa-type, variational inequality, nonexpansive mapping, Hadamard spaces, inexact, Delta-convergence
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Primary Language en Articles Author: Yue ZhangInstitution: Chengdu University of Information TechnologyCountry: China Author: Dingping WuInstitution: Chengdu University of Information TechnologyCountry: China
 Bibtex @research article { rna442725, journal = {Results in Nonlinear Analysis}, issn = {}, eissn = {2636-7556}, address = {Erdal KARAPINAR}, year = {2018}, volume = {1}, pages = {65 - 73}, doi = {}, title = {The Delta-convergence of proximal point iteration based on the variational inequality in CAT(0) Spaces}, key = {cite}, author = {Zhang, Yue and Wu, Dingping} } APA Zhang, Y , Wu, D . (2018). The Delta-convergence of proximal point iteration based on the variational inequality in CAT(0) Spaces. Results in Nonlinear Analysis, 1 (2), 65-73. Retrieved from http://dergipark.org.tr/rna/issue/37067/442725 MLA Zhang, Y , Wu, D . "The Delta-convergence of proximal point iteration based on the variational inequality in CAT(0) Spaces". Results in Nonlinear Analysis 1 (2018): 65-73 Chicago Zhang, Y , Wu, D . "The Delta-convergence of proximal point iteration based on the variational inequality in CAT(0) Spaces". Results in Nonlinear Analysis 1 (2018): 65-73 RIS TY - JOUR T1 - The Delta-convergence of proximal point iteration based on the variational inequality in CAT(0) Spaces AU - Yue Zhang , Dingping Wu Y1 - 2018 PY - 2018 N1 - DO - T2 - Results in Nonlinear Analysis JF - Journal JO - JOR SP - 65 EP - 73 VL - 1 IS - 2 SN - -2636-7556 M3 - UR - Y2 - 2018 ER - EndNote %0 Results in Nonlinear Analysis The Delta-convergence of proximal point iteration based on the variational inequality in CAT(0) Spaces %A Yue Zhang , Dingping Wu %T The Delta-convergence of proximal point iteration based on the variational inequality in CAT(0) Spaces %D 2018 %J Results in Nonlinear Analysis %P -2636-7556 %V 1 %N 2 %R %U ISNAD Zhang, Yue , Wu, Dingping . "The Delta-convergence of proximal point iteration based on the variational inequality in CAT(0) Spaces". Results in Nonlinear Analysis 1 / 2 (July 2018): 65-73.