A fixed point theorem for asymptotically nonexpansive mappings
A fixed point theorem for asymptotically nonexpansive mappings
Let <italic>K</italic> be a subset of a Banach space <italic>X</italic>. A mapping <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper F colon upper K right-arrow upper K"> <mml:semantics> <mml:mrow> <mml:mi>F</mml:mi> <mml:mo>:</mml:mo> <mml:mi>K</mml:mi> <mml:mo stretchy="false">→</mml:mo> <mml:mi>K</mml:mi> </mml:mrow> <mml:annotation encoding="application/x-tex">F:K \to K</mml:annotation> </mml:semantics> </mml:math> </inline-formula> is said to be asymptotically nonexpansive if there exists a …