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ln this paper, we introduce an iterative scheme for approximating a common element of the fixed point sets of a finite family of a multivalued -hemicontractive mappings, the set of solutions of a finite family of variational inequality problems and the set of solutions of a finite family of equilibrium problems. Using our scheme, we establish strong convergence theorems of the aforementioned problems in the framework of real Hilbert spaces. Our results improve, extend, generalise and unify many recent results in this direction.

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In this paper, we get some results about $alpha$-duals of g-frames and fusion frames
in Hilbert spaces. Especially, the direct sums and tensor products for $alpha$-duals of g-frames and fusion
frames are considered and some of the obtained results for duals are generalized to $alpha$-duals.