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

Rais Ahmad, Imran Ali, Xiao-Bing Li, Mohd. Ishtyak and Ching-Feng Wen
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Rais Ahmad: Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
Imran Ali: Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
Xiao-Bing Li: College of Sciences, Chongqing Jiaotong University, Chongqing 400074, China
Mohd. Ishtyak: Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
Ching-Feng Wen: Center for Fundamental Science, Kaohsiung Medical University, Kaohsiung 80708, Taiwan

Mathematics, 2019, vol. 7, issue 11, 1-15

Abstract: 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.

Keywords: Algorithm; Cayley Operator; Existence; Variational Inclusion; Solution (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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