System of Generalized Variational Inclusions Involving Cayley Operators and XOR-Operation in q-Uniformly Smooth Banach Spaces

Abstract

In this paper, we consider and study a system of generalized variational inclusions involving Cayley operators and an XOR-operation in q-uniformly smooth Banach spaces. To obtain the solution of the system of generalized variational inclusions involving Cayley operators and an XOR-operation, we use some properties of Cayley operators as well as an XOR-operation. We also discuss the convergence criterion. In support of our main result, we provide an example.

Solving System of Mixed Variational Inclusions Involving Generalized Cayley Operator and Generalized Yosida Approximation Operator with Error Terms in q-Uniformly Smooth Space

“…The novelty of work lies in the fact that our results are refinement of previously known results (see for example [8,9,13,18,26,28,33,36]).…”

“…The Cayley transform is a mapping between skew symmetric matrices and special orthogonal matrices. In real, complex, and quaternionic analysis, many applications of the Cayley transform can be found (see [31][32][33][34]).…”