Minimum-Norm Fixed Point of Pseudocontractive Mappings

Habtu Zegeye, Naseer Shahzad and Mohammad Ali Alghamdi

Abstract and Applied Analysis, 2012, vol. 2012, 1-15

Abstract:

Let K be a closed convex subset of a real Hilbert space H and let be a continuous pseudocontractive mapping. Then for and each , there exists a sequence satisfying which converges strongly, as , to the minimum-norm fixed point of T. Moreover, we provide an explicit iteration process which converges strongly to a minimum-norm fixed point of T provided that T is Lipschitz. Applications are also included. Our theorems improve several results in this direction.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:926017

DOI: 10.1155/2012/926017

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