Modified proximal point methods involving quasi-pseudocontractive mappings in Hadamard spaces
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Publication:2080341
DOI10.1007/s40306-022-00480-3zbMath1505.47087OpenAlexW4289856105MaRDI QIDQ2080341
Publication date: 7 October 2022
Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40306-022-00480-3
strong convergenceminimization problemconvex functionsHadamard spacemonotone operatorsquasi-pseudocontractive mappingsproximal point methodsmonotone inclusion problem
Variational inequalities (49J40) Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Set-valued operators (47H04) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Variational and other types of inclusions (47J22)
Cites Work
- Split common fixed point problem for two quasi-pseudo-contractive operators and its algorithm construction
- Proximal point algorithms involving fixed points of nonexpansive mappings in \(\mathrm{CAT}(0)\) spaces
- The modified proximal point algorithm in CAT(0) spaces
- Approximation of zeros of inverse strongly monotone operators in Banach spaces
- Duality and subdifferential for convex functions on complete \(CAT(0)\) metric spaces
- The modified proximal point algorithm in Hadamard spaces
- Some recent results in metric fixed point theory
- Strong and \(\Delta\) convergence theorems for multivalued mappings in CAT(0) spaces
- New approximation schemes for general variational inequalities
- On the zero point problem of monotone operators in Hadamard spaces
- Diagonality measures of Hermitian positive-definite matrices with application to the approximate joint diagonalization problem
- Approximating solutions of maximal monotone operators in Hilbert spaces
- The proximal point algorithm in metric spaces
- Multi-step iterative algorithm for minimization and fixed point problems in \(p\)-uniformly convex metric spaces
- A viscosity-type algorithm for an infinitely countable family of \((f,g)\)-generalized \(k\)-strictly pseudononspreading mappings in \(\operatorname{CAT}(0)\) spaces
- Inertial shrinking projection algorithm with self-adaptive step size for split generalized equilibrium and fixed point problems for a countable family of nonexpansive multivalued mappings
- An inertial extrapolation method for solving generalized split feasibility problems in real Hilbert spaces
- Convergence of relaxed inertial subgradient extragradient methods for quasimonotone variational inequality problems
- Viscosity \(S\)-iteration method with inertial technique and self-adaptive step size for split variational inclusion, equilibrium and fixed point problems
- Strong convergence of a self-adaptive inertial Tseng's extragradient method for pseudomonotone variational inequalities and fixed point problems
- Inertial iterative method with self-adaptive step size for finite family of split monotone variational inclusion and fixed point problems in Banach spaces
- On the split equality fixed point problem of quasi-pseudo-contractive mappings without a priori knowledge of operator norms with applications
- A viscosity iterative algorithm for a family of monotone inclusion problems in an Hadamard space
- On \(\theta\)-generalized demimetric mappings and monotone operators in Hadamard spaces
- Inertial methods for finding minimum-norm solutions of the split variational inequality problem beyond monotonicity
- Common solution for a finite family of minimization problem and fixed point problem for a pair of demicontractive mappings in Hadamard spaces
- On mixed equilibrium problems in Hadamard spaces
- Strong convergence theorem for monotone inclusion problem in CAT(0) spaces
- Proximal-type algorithms for split minimization problem in P-uniformly convex metric spaces
- Quasilinearization and curvature of Aleksandrov spaces
- Geometric interpolation in \(p\)-Schatten class
- A new method for solving split variational inequality problems without co-coerciveness
- Halpern-type iterative process for solving split common fixed point and monotone variational inclusion problem between Banach spaces
- A modified extragradient algorithm for a certain class of split pseudo-monotone variational inequality problem
- Convex analysis and optimization in Hadamard spaces
- Matrix Information Geometry
- Computing Medians and Means in Hadamard Spaces
- On the Convergence of the Proximal Point Algorithm for Convex Minimization
- Monotone Operators and the Proximal Point Algorithm
- MONOTONE OPERATORS AND THE PROXIMAL POINT ALGORITHM IN COMPLETE CAT(0) METRIC SPACES
- On the proximal point method in Hadamard spaces
- Approximating a common zero of finite family of monotone operators in Hadamard spaces
- On solving the minimization problem and the fixed-point problem for a finite family of non-expansive mappings in CAT(0) spaces
- Convex feasibility problems on uniformly convex metric spaces
- The numerical reckoning of modified proximal point methods for minimization problems in non-positive curvature metric spaces
- An inertial method for solving generalized split feasibility problems over the solution set of monotone variational inclusions
- Iterative algorithm for a family of monotone inclusion problems in cat(0) spaces
- Strong convergence theorem for fixed points of relatively nonexpansive multi-valued mappings and equilibrium problems in Banach spaces
- Conic Geometric Optimization on the Manifold of Positive Definite Matrices
- On solving the minimization problem and the fixed-point problem for nonexpansive mappings in CAT(0) spaces
- Iterative algorithm with self-adaptive step size for approximating the common solution of variational inequality and fixed point problems
- Metric spaces, convexity and nonpositive curvature
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