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Open AccessArticle

System of Multi-Valued Mixed Variational Inclusions with XOR-Operation in Real Ordered Uniformly Smooth Banach Spaces

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Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
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College of Sciences, Chongqing Jiaotong University, Chongqing 400074, China
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Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
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Center for Fundamental Science, Kaohsiung Medical University, Kaohsiung 80708, Taiwan
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Research Center for Nonliear Analysis and Optimization, Kaohsiung Medical University, Kaohsiung 80708, Taiwan
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Department of Medical Research, Kaohsiung Medical University Hospital, Kaohsiung 80708, Taiwan
*
Author to whom correspondence should be addressed.
Mathematics 2019, 7(11), 1027; https://doi.org/10.3390/math7111027
Received: 14 July 2019 / Revised: 20 October 2019 / Accepted: 25 October 2019 / Published: 1 November 2019
(This article belongs to the Special Issue Nonlinear Analysis and Optimization)
In this paper, we consider and study a system of multi-valued mixed variational inclusions with XOR-operation ⊕ in real ordered uniformly smooth Banach spaces. This system consists of bimappings, multi-valued mappings and Cayley operators. An iterative algorithm is suggested to find the solution to a system of multi-valued mixed variational inclusions with XOR-operation ⊕ and consequently an existence and convergence result is proved. In support of our main result, an example is constructed. View Full-Text
Keywords: Algorithm; Cayley Operator; Existence; Variational Inclusion; Solution Algorithm; Cayley Operator; Existence; Variational Inclusion; Solution
MDPI and ACS Style

Ahmad, R.; Ali, I.; Li, X.-B.; Ishtyak, M.; Wen, C.-F. System of Multi-Valued Mixed Variational Inclusions with XOR-Operation in Real Ordered Uniformly Smooth Banach Spaces. Mathematics 2019, 7, 1027.

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