$H(.,.)$-$\varphi$-$\eta$-accretive operator with an application to a system of generalized variational inclusion problems in $q$-uniformly smooth Banach spaces
نویسندگان
1 Department of Mathematics, University of Kashmir South Campus, Anantnag-192101, J & K, India
2 Department of Mathematics, Cluster University, Srinagar-190008, J & K, India
3 Department of Mathematics, University of Kashmir South Campus, Anantnag-192101, J & K, India
doi
10.22075/ijnaa.2022.24922.3029چکیده
In this paper, we study a new system of generalized variational-like inclusion problems involving generalized $H(\cdot,\cdot)$-$\varphi$-$\eta$-accretive operators in real $q$-uniformly smooth Banach spaces. We define the resolvent operator associated with $H(\cdot,\cdot)$-$\varphi$-$\eta$-accretive operator and prove it is single-valued and Lipschitz continuous. Moreover, we suggest a perturbed Mann-type iterative algorithm with errors for approximating the solution of a system of generalized variational-like inclusion problems. Furthermore, we discuss the convergence and stability analysis of the iterative sequence generated by the algorithm.
