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http://dx.doi.org/10.11568/kjm.2017.25.1.19

STRONG CONVERGENCE OF AN ITERATIVE ALGORITHM FOR A CLASS OF NONLINEAR SET-VALUED VARIATIONAL INCLUSIONS  

Ding, Xie Ping (College of Mathematics and Software Science Sichuan Normal University)
Salahuddin, Salahuddin (Department of Mathematics Jazan University)
Publication Information
Korean Journal of Mathematics / v.25, no.1, 2017 , pp. 19-35 More about this Journal
Abstract
In this communication, we introduce an Ishikawa type iterative algorithm for finding the approximate solutions of a class of nonlinear set valued variational inclusion problems. We also establish a characterization of strong convergence of this iterative techniques.
Keywords
Nonlinear set valued variational inclusions; Iterative algorithm; m-accretive mappings; ${\phi}$-strongly accretive mappings; $\mathca{H}$-generalized Lipschitz continuous mappings; $\mathca{H}$-mixed Lipschitz continuous mapping;
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