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http://dx.doi.org/10.4134/CKMS.2011.26.3.483

APPROXIMATION OF NEAREST COMMON FIXED POINTS OF ASYMPTOTICALLY I-NONEXPANSIVE MAPPINGS IN BANACH SPACES  

Cho, Yeol-Je (Department of Mathematics Education and the RINS Gyeongsang National University)
Hussain, Nawab (Department of Mathematics King Abdul Aziz University)
Pathak, Hemant Kumar (School of Studies in Mathematics Pt. Ravishankar Shukla University)
Publication Information
Communications of the Korean Mathematical Society / v.26, no.3, 2011 , pp. 483-498 More about this Journal
Abstract
In this paper, we introduce a new class of uniformly point-wise R-subweakly commuting self-mappings and prove several common fixed point theorems and best approximation results for uniformly point-wise R-subweakly commuting asymptotically I-nonexpansive mappings in normed linear spaces. We also establish some results concerning strong convergence of nearest common fixed points of asymptotically I-non-expansive mappings in reflexive Banach spaces with a uniformly G$\^{a}$teaux differentiable norm. Our results unify and generalize various known results given by some authors to a more general class of noncommuting mappings.
Keywords
uniformly pointwise R-subweakly commuting mappings; uniformly R-subweakly commuting mappings; asymptotically I-nonexpansive mappings; Banach operator pair; strong convergence; G$\^{a}$ateaux differentiable norm; uniform normal structure;
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Times Cited By KSCI : 1  (Citation Analysis)
Times Cited By SCOPUS : 1
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