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.
Funder
Ministry of Science and Technology, Taiwan
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference28 articles.
1. Existence conditions in variational inclusions with constraints
2. On the Existence of Solutions of Quasivariational Inclusion Problems
3. Existence of solutions of generalized quasivariational inequalities with set-valued maps;Tuan;Acta Math. Vietnam,2004
4. A new class of completely generalized quasivariational inclusions in Banach spaces;Ding;J. Copmut. Appl. Math.,2002
5. Set-valued versions of Ky Fan’s inequality with applications to variational inclusion theory;Kristály;J. Math. Anal. Appl.,2003
Cited by
6 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献