Anderson Acceleration for a Class of Nonsmooth Fixed-Point Problems

SIAM Journal on Scientific Computing ◽

10.1137/20m132938x ◽

2021 ◽

pp. S1-S20

Author(s):

Wei Bian ◽

Xiaojun Chen ◽

C. T. Kelley

Keyword(s):

Fixed Point ◽

Fixed Point Problems ◽

Anderson Acceleration

Download Full-text

On split equality monotone Yosida variational inclusion and fixed point problems for countable infinite families of certain nonlinear mappings in Hilbert spaces

Novi Sad Journal of Mathematics ◽

10.30755/nsjom.10119 ◽

2020 ◽

Vol Accepted ◽

Author(s):

Oluwatosin Temitope Mewomo ◽

Hammed Anuoluwapo Abass ◽

Chinedu Izuchukwu ◽

Olawale Kazeem Oyewole

Keyword(s):

Fixed Point ◽

Hilbert Spaces ◽

Fixed Point Problems ◽

Variational Inclusion ◽

Nonlinear Mappings

Download Full-text

Hybrid Iterative Methods for Convex Feasibility Problems and Fixed Point Problems of Relatively Nonexpansive Mappings in Banach Spaces

Fixed Point Theory and Applications ◽

10.1155/2008/583082 ◽

2008 ◽

Vol 2008 (1) ◽

pp. 583082 ◽

Author(s):

Somyot Plubtieng ◽

Kasamsuk Ungchittrakool

Keyword(s):

Fixed Point ◽

Banach Spaces ◽

Iterative Methods ◽

Nonexpansive Mappings ◽

Fixed Point Problems ◽

Convex Feasibility Problems ◽

Relatively Nonexpansive Mappings ◽

Convex Feasibility ◽

Relatively Nonexpansive ◽

Hybrid Iterative Methods

Download Full-text

Analysis of two variants of an inertial projection algorithm for finding the minimum-norm solutions of variational inequality and fixed point problems

Numerical Algorithms ◽

10.1007/s11075-021-01169-8 ◽

2021 ◽

Author(s):

Ha Manh Linh ◽

Simeon Reich ◽

Duong Viet Thong ◽

Vu Tien Dung ◽

Nguyen Phuong Lan

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Fixed Point Problems ◽

Projection Algorithm ◽

Download Full-text

Convergence theorem for system of pseudomonotone equilibrium and split common fixed point problems in Hilbert spaces

Bollettino dell Unione Matematica Italiana ◽

10.1007/s40574-020-00271-4 ◽

2021 ◽

Author(s):

Lateef Olakunle Jolaoso ◽

Gafari Abiodun Lukumon ◽

Maggie Aphane

Keyword(s):

Fixed Point ◽

Common Fixed Point ◽

Hilbert Spaces ◽

Convergence Theorem ◽

Fixed Point Problems ◽

Split Common Fixed Point

Download Full-text

Strong convergence theorems for finite families of pseudomonotone equilibrium and fixed point problems in Banach spaces

Afrika Matematika ◽

10.1007/s13370-020-00869-z ◽

2021 ◽

Author(s):

T. O. Alakoya ◽

L. O. Jolaoso ◽

O. T. Mewomo

Keyword(s):

Fixed Point ◽

Strong Convergence ◽

Banach Spaces ◽

Fixed Point Problems ◽

Convergence Theorems

Download Full-text

Fixed point problems, equivariant stable homotopy, and a trace map for the algebraic K-theory of a point

Topology ◽

10.1016/0040-9383(94)00047-6 ◽

1995 ◽

Vol 34 (4) ◽

pp. 959-999 ◽

Author(s):

Manos G. Lydakis

Keyword(s):

Fixed Point ◽

Fixed Point Problems ◽

Stable Homotopy ◽

Trace Map ◽

K Theory ◽

Equivariant Stable Homotopy

Download Full-text

Approach to common elements of variational inequality problems and fixed point problems via a relaxed extragradient method

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2010.03.036 ◽

2010 ◽

Vol 59 (11) ◽

pp. 3472-3480 ◽

Author(s):

Yonghong Yao ◽

Yeong-Cheng Liou ◽

Shin Min Kang

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Extragradient Method ◽

Variational Inequality Problems ◽

Fixed Point Problems ◽

Common Elements

Download Full-text

Solving variational inequality and fixed point problems by line searches and potential optimization

Mathematical Programming ◽

10.1007/s10107-003-0476-5 ◽

2004 ◽

Vol 101 (3) ◽

pp. 435-461 ◽

Author(s):

Thomas L. Magnanti ◽

Georgia Perakis

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Fixed Point Problems ◽

Download Full-text

Viscosity Approximation Methods for Zeros of Accretive Operators and Fixed Point Problems in Banach Spaces

Bulletin of the Malaysian Mathematical Sciences Society ◽

10.1007/s40840-015-0139-8 ◽

2015 ◽

Vol 39 (2) ◽

pp. 773-793 ◽

Author(s):

Pongsakorn Sunthrayuth ◽

Yeol Je Cho ◽

Poom Kumam

Keyword(s):

Fixed Point ◽

Banach Spaces ◽

Fixed Point Problems ◽

Approximation Methods ◽

Accretive Operators ◽

Viscosity Approximation ◽

Viscosity Approximation Methods

Download Full-text

The subgradient extragradient method for solving pseudomonotone equilibrium and fixed point problems in Banach spaces

Optimization ◽

10.1080/02331934.2021.1935935 ◽

2021 ◽

pp. 1-31

Author(s):

L.O. Jolaoso

Keyword(s):

Fixed Point ◽

Banach Spaces ◽

Extragradient Method ◽

Fixed Point Problems ◽

Subgradient Extragradient Method

Download Full-text