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Abstract and Applied Analysis
Volume 2014, Article ID 735673, 5 pages
Research Article

Strong Convergence for Hybrid Implicit S-Iteration Scheme of Nonexpansive and Strongly Pseudocontractive Mappings

1Department of Mathematics and RINS, Gyeongsang National University, Jinju 660-701, Republic of Korea
2Department of Mathematics, Lahore Leads University, Lahore 54810, Pakistan
3Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan 60800, Pakistan
4Department of Mathematics, Dong-A University, Busan 604-714, Republic of Korea

Received 7 April 2014; Accepted 13 June 2014; Published 7 July 2014

Academic Editor: Abdul Latif

Copyright © 2014 Shin Min Kang et al. 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.


Let be a nonempty closed convex subset of a real Banach space , let be nonexpansive, and let   be Lipschitz strongly pseudocontractive mappings such that and for all . Let be a sequence in satisfying (i) ; (ii) For arbitrary , let be a sequence iteratively defined by Then the sequence converges strongly to a common fixed point of and .