[PDF][PDF] Iterative approximation of fixed point problems and variational inequality problems on Hadamard manifolds

HM He, JG Peng, HY Li - UPB Bull. Ser. A, 2022 - scientificbulletin.upb.ro
In this paper, we propose a new iterative algorithm for finding the common solution of the
fixed points of nonexpansive mapping and the solution of the pseudomonotone variational …

[PDF][PDF] Viscosity method with a φ-contraction mapping for hierarchical variational inequalities on Hadamard manifolds

S Al-Homidan, QH Ansari, F Babu, JC Yao - Fixed Point Theory, 2020 - academia.edu
In this paper, we propose the viscosity method for solving variational inequality problems
defined over a set of fixed points of a nonexpansive mapping and involving a φ-contraction …

[PDF][PDF] The S-iterative techniques on Hadamard manifolds and applications

DR Sahu, F Babu, S Sharma - J. Appl. Numer. Optim, 2020 - academia.edu
In this paper, we develop S-iterative techniques in terms of exponential mappings for finding
fixed points of nonexpansive mappings on Hadamard manifolds. To demonstrate numerical …

Iterative algorithms for nonexpansive mappings on Hadamard manifolds

C Chong, G López, V Martquez - Taiwanese Journal of …, 2010 - projecteuclid.org
Two iterative algorithms for nonexpansive mappings on Hadamard manifolds, which are
extensions of the well-known Halpern's and Mann's algorithms in Euclidean spaces, are …

Strong convergence of a general iterative method for variational inequality problems and fixed point problems in Hilbert spaces

X Qin, M Shang, H Zhou - Applied Mathematics and Computation, 2008 - Elsevier
In this paper, we introduce a new iterative scheme to investigate the problem of finding a
common element of the set of common fixed points of a finite family of nonexpansive …

[PDF][PDF] Strong convergence theorems by a hybrid steepest descent method for countable nonexpansive mappings in Hilbert spaces

S Iemoto, W Takahashi - Sci. Math. Jpn, 2008 - jams.or.jp
STRONG CONVERGENCE THEOREMS BY A HYBRID STEEPEST DESCENT METHOD
FOR COUNTABLE NONEXPANSIVE MAPPINGS IN HILBERT SPACES 1. Introdu Page 1 …

A new explicit iterative algorithm for solving a class of variational inequalities over the common fixed points set of a finite family of nonexpansive mappings

C Zhang, C Yang - Fixed Point Theory and Applications, 2014 - Springer
In this paper, we introduce a new explicit iterative algorithm for finding a solution for a class
of variational inequalities over the common fixed points set of a finite family of nonexpansive …

A variational inequality in complete CAT (0) spaces

H Khatibzadeh, S Ranjbar - Journal of Fixed Point Theory and …, 2015 - Springer
In this paper, first, existence of solutions for a variational inequality associated with a
nonexpansive mapping in Hadamard spaces is studied. Then, the inexact proximal point …

[HTML][HTML] New iterative scheme with nonexpansive mappings for equilibrium problems and variational inequality problems in Hilbert spaces

S Wang, B Guo - Journal of Computational and Applied Mathematics, 2010 - Elsevier
Recently, Ceng, Guu and Yao introduced an iterative scheme by viscosity-like
approximation method to approximate the fixed point of nonexpansive mappings and solve …

Strong convergence algorithms for hierarchical fixed points problems and variational inequalities

G Gu, S Wang, YJ Cho - Journal of Applied Mathematics, 2011 - Wiley Online Library
We introduce a new iterative scheme that converges strongly to a common fixed point of a
countable family of nonexpansive mappings in a Hilbert space such that the common fixed …