A remark on directional contractions
A remark on directional contractions
Let <italic>X</italic> be a Banach space and <italic>D</italic> a convex subset of <italic>X</italic>. A mapping <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper T colon upper D right-arrow upper X"> <mml:semantics> <mml:mrow> <mml:mi>T</mml:mi> <mml:mo>:</mml:mo> <mml:mi>D</mml:mi> <mml:mo stretchy="false">→<!-- → --></mml:mo> <mml:mi>X</mml:mi> </mml:mrow> <mml:annotation encoding="application/x-tex">T:D \to X</mml:annotation> </mml:semantics> </mml:math> </inline-formula> is called a directional contraction …