Cayley Inclusion Problem Involving XOR-Operation

Imran Ali, Rais Ahmad and Ching-Feng Wen
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Imran Ali: Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
Rais Ahmad: Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
Ching-Feng Wen: Center for Fundamental Science, and Research Center for Nonlinear Analysis and Optimization, Kaohsiung Medical University, Kaohsiung 80708, Taiwan

Mathematics, 2019, vol. 7, issue 3, 1-12

Abstract: In this paper, we study an absolutely new problem, namely, the Cayley inclusion problem which involves the Cayley operator and a multi-valued mapping with XOR-operation. We have shown that the Cayley operator is a single-valued comparison and it is Lipschitz-type-continuous. A fixed point formulation of the Cayley inclusion problem is shown by using the concept of a resolvent operator as well as the Yosida approximation operator. Finally, an existence and convergence result is proved. An example is constructed for some of the concepts used in this work.

Keywords: Cayley; Convergence; Resolvent; XOR-operation; Yosida (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 (3)

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