Approximate Fixed Point Sequences of an Evolution Family on a Metric Space
Approximate Fixed Point Sequences of an Evolution Family on a Metric Space
In this article, we study the approximate fixed point sequence of an evolution family. A family <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>E</mml:mi><mml:mo>=</mml:mo><mml:mfenced open="{" close="}" separators="|"><mml:mrow><mml:mi>U</mml:mi><mml:mfenced open="(" close=")" separators="|"><mml:mrow><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:mi>y</mml:mi></mml:mrow></mml:mfenced><mml:mo>;</mml:mo><mml:mi>x</mml:mi><mml:mo>≥</mml:mo><mml:mi>y</mml:mi><mml:mo>≥</mml:mo><mml:mn>0</mml:mn></mml:mrow></mml:mfenced></mml:mrow></mml:math> of a bounded nonlinear operator acting on a metric space <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:mrow><mml:mfenced open="(" close=")" separators="|"><mml:mrow><mml:mi>M</mml:mi><mml:mo>,</mml:mo><mml:mi>d</mml:mi></mml:mrow></mml:mfenced></mml:mrow></mml:math> is said to be an evolution family if <mml:math …