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

Srivastava, Julee; Singh, Neeta

doi:10.2478/auom-2013-0010

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].

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

Abstract

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