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Abbas, Mujahid; Khan, Safeer Hussain; Khan, Abdul Rahim; Agarwal, Ravi P.

Common fixed points of two multivalued nonexpansive mappings by one-step iterative scheme. (English) Zbl 1223.47068

Appl. Math. Lett. 24, No. 2, 97-102 (2011).
Summary: We introduce a new one-step iterative process to approximate common fixed points of two multivalued nonexpansive mappings in a real uniformly convex Banach space. We establish weak and strong convergence theorems for the proposed process under some basic boundary conditions.

Cited in 6 Reviews
Cited in 29 Documents

MSC:

47J25 Iterative procedures involving nonlinear operators
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
47H04 Set-valued operators

Keywords:

one-step iterative scheme; nonexpansive mapping; common fixed point; condition (\(A^{\prime}\)); weak convergence; strong convergence
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\textit{M. Abbas} et al., Appl. Math. Lett. 24, No. 2, 97--102 (2011; Zbl 1223.47068)
Full Text: DOI

References:

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