Author/Authors :
Ahmad, Rais Department of Mathematics - Aligarh Muslim University, Aligarh, India , Ishtyak, Mohd. Department of Mathematics - Aligarh Muslim University, Aligarh, India , Rahaman, Mijanur Department of Mathematics - Aligarh Muslim University, Aligarh, India , Ahmad, Iqbal Department of Mathematics - Aligarh Muslim University, Aligarh, India
Abstract :
In this paper, we introduce a Yosida inclusion problem as well as a generalized Yosida approximation operator. Using the graph convergence of H(⋅,⋅)-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.
Keywords :
Graph convergence , Resolvent operator , Smooth Banach space , Yosida approximation operator , Yosida inclusion
