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http://dx.doi.org/10.5666/KMJ.2019.59.1.101

Approximation Solvability for a System of Nonlinear Variational Type Inclusions in Banach Spaces  

Salahuddin, Salahuddin (Department of Mathematics, Jazan University)
Publication Information
Kyungpook Mathematical Journal / v.59, no.1, 2019 , pp. 101-123 More about this Journal
Abstract
In this paper, we consider a system of nonlinear variational type inclusions involving ($H,{\varphi},{\eta}$)-monotone operators in real Banach spaces. Further, we define a proximal operator associated with an ($H,{\varphi},{\eta}$)-monotone operator and show that it is single valued and Lipschitz continuous. Using proximal point operator techniques, we prove the existence and uniqueness of a solution and suggest an iterative algorithm for the system of nonlinear variational type inclusions. Furthermore, we discuss the convergence of the iterative sequences generated by the algorithms.
Keywords
system of nonlinear variational type inclusions; algorithms; ($H,{\varphi},{\eta}$)-monotone operators; iterative sequences; Banach spaces;
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Times Cited By KSCI : 1  (Citation Analysis)
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