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COMMON FIXED POINTS OF TWO NONEXPANSIVE MAPPINGS BY A MODIFIED FASTER ITERATION SCHEME
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 Title & Authors
COMMON FIXED POINTS OF TWO NONEXPANSIVE MAPPINGS BY A MODIFIED FASTER ITERATION SCHEME
Khan, Safeer Hussain; Kim, Jong-Kyu;
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 Abstract
We introduce an iteration scheme for approximating common fixed points of two mappings. On one hand, it extends a scheme due to Agarwal et al. [2] to the case of two mappings while on the other hand, it is faster than both the Ishikawa type scheme and the one studied by Yao and Chen [18] for the purpose in some sense. Using this scheme, we prove some weak and strong convergence results for approximating common fixed points of two nonexpansive self mappings. We also outline the proofs of these results to the case of nonexpansive nonself mappings.
 Keywords
iteration scheme;nonexpansive self mapping;nonexpansive nonself mapping;rate of convergence;common fixed point;the condition (A`);weak and strong convergence;
 Language
English
 Cited by
1.
New iteration scheme for numerical reckoning fixed points of nonexpansive mappings, Journal of Inequalities and Applications, 2014, 2014, 1, 328  crossref(new windwow)
2.
On an Iterative Process for Generalized Nonexpansive Multi-valued Mappings in Banach Spaces, Vietnam Journal of Mathematics, 2016, 44, 4, 777  crossref(new windwow)
3.
Fixed and Best Proximity Points of Cyclic Jointly Accretive and Contractive Self-Mappings, Journal of Applied Mathematics, 2012, 2012, 1  crossref(new windwow)
4.
Mixed type iterations for multivalued nonexpansive mappings in hyperbolic spaces, Fixed Point Theory and Applications, 2014, 2014, 1, 140  crossref(new windwow)
5.
Approximating Fixed Points of Generalized α-Nonexpansive Mappings in Banach Spaces, Numerical Functional Analysis and Optimization, 2017, 38, 2, 248  crossref(new windwow)
6.
A Picard-Mann hybrid iterative process, Fixed Point Theory and Applications, 2013, 2013, 1, 69  crossref(new windwow)
7.
Common fixed points of two multivalued nonexpansive maps in Kohlenbach hyperbolic spaces, Fixed Point Theory and Applications, 2014, 2014, 1, 181  crossref(new windwow)
8.
A solution of delay differential equations via Picard–Krasnoselskii hybrid iterative process, Arabian Journal of Mathematics, 2017, 6, 1, 21  crossref(new windwow)
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