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Open AccessArticle

Sensitivity Analysis of Mixed Cayley Inclusion Problem with XOR-Operation

1
Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
2
Center for Fundamental Science, Kaohsiung Medical University, Kaohsiung 80708, Taiwan
3
Research Center for Nonliear Analysis and Optimization, Kaohsiung Medical University, Kaohsiung 80708, Taiwan
4
Department of Medical Research, Kaohsiung Medical University Hospital, Kaohsiung 80708, Taiwan
*
Author to whom correspondence should be addressed.
Symmetry 2020, 12(2), 220; https://doi.org/10.3390/sym12020220
Received: 9 December 2019 / Revised: 15 January 2020 / Accepted: 15 January 2020 / Published: 2 February 2020
(This article belongs to the Special Issue Symmetry in Nonlinear Functional Analysis and Optimization Theory)
In this paper, we consider the parametric mixed Cayley inclusion problem with Exclusive or (XOR)-operation and show its equivalence with the parametric resolvent equation problem with XOR-operation. Since the sensitivity analysis, Cayley operator, inclusion problems, and XOR-operation are all applicable for solving many problems occurring in basic and applied sciences, such as financial modeling, climate models in geography, analyzing “Black Box processes”, computer programming, economics, and engineering, etc., we study the sensitivity analysis of the parametric mixed Cayley inclusion problem with XOR-operation. For this purpose, we use the equivalence of the parametric mixed Cayley inclusion problem with XOR-operation and the parametric resolvent equation problem with XOR-operation, which is an alternative approach to study the sensitivity analysis. In support of some of the concepts used in this paper, an example is provided. View Full-Text
Keywords: parametric; Cayley; Lipschitz; XOR-operation; sensitivity parametric; Cayley; Lipschitz; XOR-operation; sensitivity
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Ali, I.; Ishtyak, M.; Ahmad, R.; Wen, C.-F. Sensitivity Analysis of Mixed Cayley Inclusion Problem with XOR-Operation. Symmetry 2020, 12, 220.

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