Iqbal Mohd - Department of Mathematics, University of Kashmir South Campus, Anantnag-۱۹۲۱۰۱, J & K, India
Zahoor Bisma - Department of Mathematics, Cluster University, Srinagar-۱۹۰۰۰۸, J & K, India
Ahmad Mudasir - Department of Mathematics, University of Kashmir South Campus, Anantnag-۱۹۲۱۰۱, J & K, India

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.

H(cdot, cdot)-varphi-eta-accretive operator, q-uniformly smooth Banach spaces, Resolvent operator technique, Perturbed Mann-type iterative algorithm, Convergence analysis, Stability analysis