Weak and strong convergence of the Ishikawa iterative sequence to fixed points of Lipschitz pseudocontractive maps in Hilbert spaces

Akuchu Besheng George

Abstract


In this paper, we study the weak and strong convergence of the Ishikawa iterative sequence to a fixed point of a Lipschitz pseudocontrative mapping in a Hilbert space. We do not require any compactness type assumptions either on the mapping or its domain. Furthermore, we do not need to compute for closed convex subsets, Cn, of the Hilbert space.


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How to Cite this Article:

Akuchu Besheng George, Weak and strong convergence of the Ishikawa iterative sequence to fixed points of Lipschitz pseudocontractive maps in Hilbert spaces, Adv. Fixed Point Theory, 5 (2015), 147-157

Copyright © 2015 Akuchu Besheng George. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Advances in Fixed Point Theory

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