The purpose of this work, we present a new iterative algorithm for finding a common of the set of solutions of a mixed equilibrium problem, the set of a variational inclusion and the set of fixed point of nonexpansive mapping in a real Hilbert space. Under suitable conditions, some strong convergence theorems for approximating a common element of the above three sets are obtained. The results p...

*Correspondence: [email protected] Department of Industrial Engineering, Anadolu University, Eskisehir, Turkey Institute of Control Systems, ANAS, Baku, Azerbaijan Abstract This paper is devoted to the optimal control problem of switching system in which constraints on the state variable are given by inclusions. Using Ekeland’s variational principle, second-order necessary condition of ...

We present a local convergence analysis of mixed secant method in order to approximate solutions of variational inclusions. The local convergence results are given under weaker conditions than in earlier studies such as [4], resulting to a more precise error analysis and the extension of the applicability of the method. A numerical example illustrating the advantages of our approach is also pre...