H(.,.)-\varphi-\eta-accretive operator with an application to a system of generalized variational inclusion problems in q-uniformly smooth Banach spaces

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.

کلیدواژه ها:

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