In this paper, we consider a system of generalized resolvent equations involving generalized pseudocontractive mapping with corresponding system of variational inclusions in real Banach spaces. We establish an equivalence between the system of generalized resolvent equations and the system of variational inclusions using the concept of H(.,.)-co-accretive mapping. Furthermore, we prove the exis...

We study a new system of nonlinear set-valued variational inclusions involving a finite family of H ·, · -accretive operators in Banach spaces. By using the resolvent operator technique associated with a finite family of H ·, · -accretive operators, we prove the existence of the solution for the system of nonlinear set-valued variational inclusions. Moreover, we introduce a new iterative scheme...

In this paper, we introduce a system of generalized implicit variational inclusions which consists of three variational inclusions. We design an iterative algorithm with error terms based on relaxed resolvent operator due to Ahmad et al. (Stat Optim Inf Comput 4:183-193, 2016) for approximating the solution of our system. The convergence of the iterative sequences generated by the iterative alg...

In this paper, a general system of variational inclusions in Banach Spaces is introduced. An iterative method for finding solutions of a general system of variational inclusions with inverse-strongly accretive mappings and common set of fixed points for a λ-strict pseudocontraction is established. Under certain conditions, by forward-backward splitting method, we prove strong convergence theore...

In this paper, we consider the problem of finding a zero of difference of two monotone operators in Hilbert space. Using the resolvent operator technique, we establish the equivalence between the variational inclusions and the fixed point problems. This alternative equivalent formulation is used to suggest and analyze a two-step iterative method for solving the variational inclusions involving ...

This paper deals with the study of mixed variational-like inclusions involving Yosida approximation operator (MVLIYAO) and η-proximal mapping in Banach spaces. It is investigated that equivalent to fixed point problems Using this equivalence, a new iterative algorithm proposed find solution (MVLIYAO). A numerical example provided support our main result by using MATLAB program.

Very recently, Ahmad and Yao 2009 introduced and considered a system of generalized resolvent equationswith corresponding system of variational inclusions in uniformly smooth Banach spaces. In this paper we introduce and study a general system of generalized resolvent equations with corresponding general system of variational inclusions in uniformly smooth Banach spaces. We establish an equival...

This paper concerns constrained dynamic optimization problems governed by delayed differentialalgebraic systems. Dynamic constraints in such systems, which are particularly important for engineering applications, are described by interconnected delay-differential inclusions and algebraic equations. We pursue a two-hold goal: to study variational stability of such control systems with respect to...

In this paper, we solve a system of mixed variational inclusions involving generalized Cayley operator and the Yosida approximation operator. An iterative algorithm is suggested to discuss convergence analysis. We have shown that our admits unique solution by using properties q-uniformly smooth Banach space, criteria for sequences generated algorithm. Two examples are constructed, an applicatio...