The notion of a <mml:math alttext="$\ast $" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mo>&#8727;</mml:mo></mml:math>-nonexpansive multivalued map is different from that of 
a continuous map. In this paper we prove some fixed point theorems for
<mml:math alttext="$\ast $" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mo>&#8727;</mml:mo></mml:math>-nonexpansive multivalued random operators in the setup of Banach 
spaces and Fr&#233;chet spaces. Our work generalizes, refines and improves the 
earlier results of a number of authors.

Random fixed points for <mml:math alttext="$\ast $" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mo>∗</mml:mo></mml:math>-nonexpansive random operators

Random fixed points for <svg style="vertical-align:-0.0pt" height="7.9250002" version="1.1" viewBox="0 0 10.1 7.9250002" width="10.1" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg"><g transform="matrix(.017,-0,0,-.017,.062,7.863)"><path id="x2217" d="M471 153q-22 -15 -61 -13q-25 31 -45.5 49.5t-56.5 41.5q4 -71 28 -134q-17 -33 -42 -46q-24 12 -42 46q24 63 28 134q-36 -23 -56.5 -41.5t-45.5 -49.5q-36 -2 -61 13q0 28 19 59q65 10 130 43q-65 33 -130 43q-19 31 -19 59q22 15 61 13q25 -31 45.5 -49.5t56.5 -41.5&#xA;q-4 71 -28 134q17 33 42 46q24 -12 42 -46q-24 -63 -28 -134q36 23 56.5 41.5t45.5 49.5q36 2 61 -13q0 -28 -19 -59q-65 -10 -130 -43q65 -33 130 -43q19 -31 19 -59z" /></g></svg>-nonexpansive random operators

International Journal of Stochastic Analysis

Random fixed points for ∗-nonexpansive random operators

Abstract

Copyright