Damped Algorithms for the Split Fixed Point and Equilibrium Problems

On Fixed Point Results for Hemicontractive-type Multi-valued Mapping, Finite Families of Split Equilibrium and Variational Inequality Problems

In this article, we introduced an iterative scheme for finding a common element of the set of fixed points of a multi-valued hemicontractive-type mapping, the set of common solutions of a finite family of split equilibrium problems and the set of common solutions of a finite family of variational inequality problems in real Hilbert spaces. Moreover, the sequence generated by the proposed algori...

Equilibrium problems and fixed point problems for nonspreading-type mappings in hilbert space

In this paper by using the idea of mean convergence, weintroduce an iterative scheme for finding a common element of theset of solutions of an equilibrium problem and the fixed points setof a nonspreading-type mappings in Hilbert space. A strongconvergence theorem of the proposed iterative scheme is establishedunder some control conditions. The main result of this paper extendthe results obtain...

Strong Convergence Algorithm for Split Equilibrium Problems and Hierarchical Fixed Point Problems

The purpose of this paper is to investigate the problem of finding the approximate element of the common set of solutions of a split equilibrium problem and a hierarchical fixed point problem in a real Hilbert space. We establish the strong convergence of the proposed method under some mild conditions. Several special cases are also discussed. Our main result extends and improves some well-know...

Iterative algorithms for families of variational inequalities fixed points and equilibrium problems

Iterative Algorithms for the Generalized System of Nonlinear Quasi-Mixed Equilibrium Problems and Fixed Point Problems

The purpose of this paper is to introduce a new generalized system of nonlinear quasi-mixed equilibrium problems and find the common solutions of this problem and a fixed point problem. The results obtained in this paper may be viewed as an extension, refinement and improvement of the previously known results in [2-4] and others. Mathematics Subject Classification: 47H09, 47J25