Krasnoselskij-type algorithms for variational inequality problems and fixed point problems in Banach spaces

03/18/2021
by   Vasile Berinde, et al.
0

Existence and uniqueness as well as the iterative approximation of fixed points of enriched almost contractions in Banach spaces are studied. The obtained results are generalizations of the great majority of metric fixed point theorems, in the setting of a Banach space. The main tool used in the investigations is to work with the averaged operator T_λ instead of the original operator T. The effectiveness of the new results thus derived is illustrated by appropriate examples. An application of the strong convergence theorems to solving a variational inequality is also presented.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
09/28/2020

Fixed Points Theorems for Non-Transitive Relations

In this paper, we develop an Isabelle/HOL library of order-theoretic fix...
research
02/26/2021

A generalized strong convergence algorithm in the presence of the errors for the variational inequality problems in Hilbert spaces

In this paper, we study the strong convergence of an algorithm to solve ...
research
04/04/2018

A Fixed Point Theorem for Iterative Random Contraction Operators over Banach Spaces

Consider a contraction operator T over a Banach space X with a fixed po...
research
04/29/2021

Feasibility-based Fixed Point Networks

Inverse problems consist of recovering a signal from a collection of noi...
research
10/16/2019

Work sharing as a metric and productivity indicator for administrative workflows

Defining administrative workflow events as a nonlinear dynamics that ass...

Please sign up or login with your details

Forgot password? Click here to reset