Shrinking projection algorithm for solving a finite family of quasi-variational inclusion problems in Hadamard manifold

DOI10.1007/s13398-021-01105-4zbMath1476.49013OpenAlexW3192262773MaRDI QIDQ1982623

Min Liu, Jen-Chih Yao, Shi Sheng Zhang, Jin-Hua Zhu, Liang Cai Zhao

Publication date: 14 September 2021

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-021-01105-4

zbMATH Keywords

Hadamard manifoldquasi-nonexpansive mappingsshrinking projection algorithmfirmly nonexpansivemaximal monotone vector fieldquasi-variational inclusion problem

Mathematics Subject Classification ID

Variational inequalities (49J40) Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Fixed-point theorems on manifolds (58C30) Differentiable manifolds, foundations (58A05) Convexity of real functions of several variables, generalizations (26B25)

Related Items

Inertial proximal point algorithm for variational inclusion in Hadamard manifolds ⋮ Modified Halpern and viscosity methods for hierarchical variational inequalities on Hadamard manifolds ⋮ Variational inequality over the set of common solutions of a system of bilevel variational inequality problem with applications

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