On the Iterations of a Sequence of Strongly Quasi-Nonexpansive Mappings with Applications
From MaRDI portal
Publication:5207716
DOI10.1080/01630563.2019.1626419zbMath1434.90135arXiv1611.02979OpenAlexW2963124668WikidataQ127675157 ScholiaQ127675157MaRDI QIDQ5207716
Hadi Khatibzadeh, Vahid Mohebbi
Publication date: 13 January 2020
Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1611.02979
equilibrium problemproximal point methodfixed point iterative methodsHalpern regularizationconvex and pseudo-convex minimizationstrongly quasi-nonexpansive sequence of mappings
Related Items (6)
Strong Convergence of the Iterations of Quasi $\phi$-nonexpansive Mappings and its Applications in Banach Spaces ⋮ General-type proximal point algorithm for solving inclusion and fixed point problems with composite operators ⋮ Proximal point methods with possible unbounded errors for monotone operators in Hadamard spaces ⋮ Unification of some iterative and proximal like methods for asymptotically nonexpansive and quasi-nonexpansive mappings ⋮ Convergence of dissipative-like dynamics and algorithms governed by set-valued nonexpansive mappings ⋮ Convergence theorems for asymptotically quasi-nonexpansive sequences with applications
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Asymptotic behavior of averaged and firmly nonexpansive mappings in geodesic spaces
- Proximal point method for minimizing quasiconvex locally Lipschitz functions on Hadamard manifolds
- The modified proximal point algorithm in CAT(0) spaces
- Halpern type iterations for strongly quasi-nonexpansive sequences and its applications
- Approximation of zeros of inverse strongly monotone operators in Banach spaces
- A variational inequality in complete CAT(0) spaces
- The asymptotic behavior of the composition of firmly nonexpansive mappings
- Some recent results in metric fixed point theory
- A concept of convergence in geodesic spaces
- Halpern's iteration in CAT(0) spaces
- Iterative algorithms for nonexpansive mappings on Hadamard manifolds
- On a distance between directions in an Aleksandrov space of curvature \(\leq K\)
- Convex functionals and generalized harmonic maps into spaces of non positive curvature
- The proximal point algorithm for pseudomonotone variational inequalities on Hadamard manifolds
- The proximal point algorithm in metric spaces
- Strong convergence for a strongly quasi-nonexpansive sequence in Hilbert spaces
- The asymptotic behavior of a class of nonlinear semigroups in Hadamard spaces
- On \(\Delta\)-convergence theorems in CAT\((0)\) spaces
- Quasilinearization and curvature of Aleksandrov spaces
- Fixed points of uniformly Lipschitzian mappings
- Convex analysis and optimization in Hadamard spaces
- On the proximal point method for equilibrium problems in Hilbert spaces
- Iterative Algorithms for Nonlinear Operators
- Firmly nonexpansive mappings in classes of geodesic spaces
- Monotone vector fields and the proximal point algorithm on Hadamard manifolds
- The Asymptotic Behavior of Firmly Nonexpansive Mappings
- Remarks on Some Fixed Point Theorems
- Monotone Operators and the Proximal Point Algorithm
- Proximal Point Algorithm On Riemannian Manifolds
- Weak topologies in complete $CAT(0)$ metric spaces
- MONOTONE AND PSEUDO-MONOTONE EQUILIBRIUM PROBLEMS IN HADAMARD SPACES
This page was built for publication: On the Iterations of a Sequence of Strongly Quasi-Nonexpansive Mappings with Applications
