Generalized Yosida inclusion problem involving multi-valued operator with XOR operation

Abstract

In this article, we study a generalized Yosida variational inclusion problem involving multi-valued operator with XOR operation. It is shown that the generalized Yosida variational inclusion problem involving multi-valued operator with XOR operation is equivalent to a fixed point equation. We have proved that the generalized Yosida approximation operator is Lipschitz continuous. Finally, we prove an existence and convergence result for our problem.

Keywords

• yosida
• xor
• existence
• lipschitz
• convergence
• 47h05
• 49h10
• 47j25