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Search Results: 1 - 10 of 150484 matches for " H. Fukhar-ud-din "
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Approximation of Common Fixed Points of Pointwise Asymptotic Nonexpansive Maps in a Hadamard Space  [PDF]
Safeer Hussain Khan, H. Fukhar-ud-din
Advances in Pure Mathematics (APM) , 2012, DOI: 10.4236/apm.2012.26068
Abstract: We establish weak and strong convergence of Ishikawa type iterates of two pointwise asymptotic nonexpansive maps in a Hadamard space. For weak and strong convergence results, we drop “rate of convergence condition”, namely (Cn(x)-1)< to answer in the affirma-tive to the open question posed by Tan and Xu [1] even in a general setup.
Common Fixed Point Iterations of Generalized Asymptotically Quasi-Nonexpansive Mappings in Hyperbolic Spaces  [PDF]
H. Fukhar-ud-din, A. R. Khan
Journal of Applied Mathematics and Physics (JAMP) , 2014, DOI: 10.4236/jamp.2014.25021
Abstract:

We introduce a general iterative method for a finite family of generalized asymptotically quasi- nonexpansive mappings in a hyperbolic space and study its strong convergence. The new iterative method includes multi-step iterative method of Khan et al. [1] as a special case. Our results are new in hyperbolic spaces and generalize many known results in Banach spaces and CAT(0) spaces, simultaneously.

A New Implicit Algorithm of Asymptotically Quasi-nonexpansive Maps in Uniformly Convex Banach Spaces
H. Fukhar-ud-din,A. R. Khan,M. A. A. Khan
IAENG International Journal of Applied Mathematics , 2012,
Abstract:
Convergence of two-step iterative scheme with errors for two asymptotically nonexpansive mappings
Hafiz Fukhar-ud-din,Safeer Hussain Khan
International Journal of Mathematics and Mathematical Sciences , 2004, DOI: 10.1155/s0161171204308161
Abstract: A two-step iterative scheme with errors has been studied to approximate the common fixed points of two asymptotically nonexpansive mappings through weak and strong convergence in Banach spaces.
Convergence of implicit iterates with errors for mappings with unbounded domain in Banach spaces
Hafiz Fukhar-Ud-Din,Abdul Rahim Khan
International Journal of Mathematics and Mathematical Sciences , 2005, DOI: 10.1155/ijmms.2005.1643
Abstract: We prove that an implicit iterative process with errors converges weakly and strongly to a common fixed point of a finite family of asymptotically quasi-nonexpansive mappings on unbounded sets in a uniformly convex Banach space. Our results generalize and improve upon, among others, the corresponding recent results of Sun (2003) in the following two different directions: (i) domain of the mappings is unbounded, (ii) the iterative sequence contains an error term.
Strong convergence by the shrinking effect of two half-spaces and applications
Muhammad AA Khan, and Hafiz Fukhar-ud-din
Fixed Point Theory and Applications , 2013, DOI: 10.1186/1687-1812-2013-30
Abstract: MSC: 47H05, 47H09, 49H05.
Weak Convergence of Ishikawa Iterates for Nonexpansive Maps
Abdul Rahim Khan,Hafiz Fukhar-ud-din
Lecture Notes in Engineering and Computer Science , 2010,
Abstract:
Approximating Fixed Points of Some Maps in Uniformly Convex Metric Spaces
Khan AbdulRahim,Fukhar-ud-din Hafiz,Domlo AbdulAziz
Fixed Point Theory and Applications , 2010,
Abstract: We study strong convergence of the Ishikawa iterates of qasi-nonexpansive (generalized nonexpansive) maps and some related results in uniformly convex metric spaces. Our work improves and generalizes the corresponding results existing in the literature for uniformly convex Banach spaces.
Strong Convergence of an Implicit Algorithm in CAT(0) Spaces
Fukhar-ud-din Hafiz,Domlo AbdulAziz,Khan AbdulRahim
Fixed Point Theory and Applications , 2011,
Abstract: We establish strong convergence of an implicit algorithm to a common fixed point of a finite family of generalized asymptotically quasi-nonexpansive maps in CAT spaces. Our work improves and extends several recent results from the current literature.
Approximating Fixed Points of Some Maps in Uniformly Convex Metric Spaces
Abdul Rahim Khan,Hafiz Fukhar-ud-din,Abdul Aziz Domlo
Fixed Point Theory and Applications , 2010, DOI: 10.1155/2010/385986
Abstract: We study strong convergence of the Ishikawa iterates of qasi-nonexpansive (generalized nonexpansive) maps and some related results in uniformly convex metric spaces. Our work improves and generalizes the corresponding results existing in the literature for uniformly convex Banach spaces.
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