Approximation Solvability for a System of Nonlinear Varia- tional Type Inclusions in Banach Spaces
In this paper, we consider a system of nonlinear variational type inclusions involving (H,η,φ)-monotone operators in real Banach spaces. Further, we de ne a proximal operator associated with an (H,η,φ)-monotone operator and show that it is single valued and Lipschitz continuous. Using proximal point...
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| Published in | Kyungpook mathematical journal pp. 101 - 123 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
경북대학교 자연과학대학 수학과
01.03.2019
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| Subjects | |
| Online Access | Get full text |
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| Summary: | In this paper, we consider a system of nonlinear variational type inclusions involving (H,η,φ)-monotone operators in real Banach spaces. Further, we de ne a proximal operator associated with an (H,η,φ)-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 theiterative sequences generated by the algorithms KCI Citation Count: 0 |
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| ISSN: | 1225-6951 0454-8124 |
| DOI: | 10.5666/KMJ.2019.59.1.101 |