Abstract
In this paper, we introduce a Yosida inclusion problem as well as a generalized Yosida approximation operator. Using the graph convergence of H(cdot ,cdot )-accretive operator and resolvent operator convergence discussed in Li and Huang (Appl Math Comput 217:9053–9061, 7), we establish the convergence for generalized Yosida approximation operator. As an application, we solve a Yosida inclusion problem in q-uniformly smooth Banach spaces. An example is constructed, and through MATLAB programming, we show some graphics for the convergence of generalized Yosida approximation operator.
Highlights
A reasonable attention has been shown by many researchers for the study of variational inclusions and their generalized forms, which occupies a leading and significant role to connect research between analysis, geometry, biology, elasticity, optimization, image processing, biomedical and mathematical sciences, etc
In this paper, we introduce a Yosida inclusion problem as well as a generalized Yosida approximation operator
Using the graph convergence of HðÁ; ÁÞ-accretive operator and resolvent operator convergence discussed in Li and Huang (Appl Math Comput 217:9053–9061, 2011), we establish the convergence for generalized Yosida approximation operator
Summary
Graph convergence and generalized Yosida approximation operator with an application Rais Ahmad1 Mohd.
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