Strong convergence theorems with three-step iteration in star-shaped metric spaces
Byung-Soo Lee - Department of Mathematics, Kyungsung University, Busan 608-736, South Korea (email)
Abstract: The author considers a Noor-type three-step iterative scheme including Ishikawa-type scheme as a special case to approximate common fixed points of an infinite family of uniformly quasi-Lipschitzian mappings and an infinite family of nonexpansive mappings in star-shaped metric spaces. His results are cases of star-shaped metric space of results shown in .
Keywords: Star-shaped metric space, Noor-type iteration, $f$-expansive mapping, uniformly quasi-$\sup(f)$-Lipschitzian mapping.
Received: April 2011; Revised: June 2011; Published: September 2011.