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Fixed points of multivalued quasi-nonexpansive mappings using a faster iterative process. (English) Zbl 1302.47090

Summary: In this article, we prove some strong and weak convergence theorems for quasi-nonexpansive multivalued mappings in Banach spaces. The iterative process used is independent of the Ishikawa iterative process and converges faster. Some examples are provided to validate our results.

MSC:

47J25 Iterative procedures involving nonlinear operators
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
47H04 Set-valued operators
65J15 Numerical solutions to equations with nonlinear operators
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References:

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