Affiliation:
1. Islamic University of Madinah
2. Southwest University
3. University of Tabuk
Abstract
In this paper, we introduce and study a system of set-valued Cayley type inclusions involving Cayley operator and (H; )-monotone operator in real Banach spaces. We show that Cayley operator associated with the (H; )-monotone operator is Lipschitz type continuous. Using the proximal point operator technique, we have established a fixed point formulation for the system of set-valued Cayley type inclusions. Further, the existence and uniqueness of the approximate solution are proved. Moreover, we suggest an iterative algorithm for the system of set-valued Cayley type inclusions and discuss the strong convergence of the sequences generated by the proposed algorithm. Some examples are constructed to illustrate some concepts used in this paper.
Publisher
Sociedade Paranaense de Matematica
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