<abstract xmlns="http://www.w3.org/1999/xhtml"><p> Some fixed point convergence properties are proved for compact and demicompact maps acting over closed, bounded and convex subsets of a real Hilbert space. We also show that for a generalized nonexpansive mapping in a uniformly convex Banach space the Ishikawa iterates con- verge to a fixed point. Finally, a convergence type result is established for multivalued contractive mappings acting on closed subsets of a com- plete metric space. These are extensions of results in Ciric, et. al. [7], Panyanak [2] and Agarwal, et. al. [9].</p></abstract>

Some fixed point convergence properties are proved for compact and demicompact maps acting over closed, bounded and convex subsets of a real Hilbert space. We also show that for a generalized nonexpansive mapping in a uniformly convex Banach space the Ishikawa iterates con- verge to a fixed point. Finally, a convergence type result is established for multivalued contractive mappings acting on closed subsets of a com- plete metric space. These are extensions of results in Ciric, et. al. [7], Panyanak [2] and Agarwal, et. al. [9].

On iterative fixed point convergence in uniformly convex Banach space and Hilbert space

Department of Mathematics, University of Allahabad, Allahabad-211006, Uttar Pradesh

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Some fixed point convergence properties are proved for compact and demicompact maps acting over closed, bounded and convex subsets of a real Hilbert space. We...

On iterative fixed point convergence in uniformly convex Banach space and Hilbert space

Published Online: Jul 30, 2013

Page range: 167 - 182

DOI: https://doi.org/10.2478/auom-2013-0010

This content is open access.