Abstract
The purpose of this paper is to present a new iterative scheme for finding a common solution of the generalized mixed equilibrium problems with an infinite family of inverse strongly monotone mappings and the fixed point problems of demimetric mappings under nonlinear transformations in Banach spaces. Applications are also included. The results in this paper are the extension and improvement of the recent results in the literature.
Highlights
Open AccessLet H be a real Hilbert space, C be a nonempty closed convex subset of H, T be a mapping on C and F (T ) := {x ∈ C : Tx = x}
Some special cases of the GMEP are stated as followings: 1) If A = 0, the GMEP becomes the following mixed equilibrium prob
In order to find a common solution of fixed point problems for an finite family of demimetric mappings and the variational inequality problems for a infinite family of inverse strongly monotone mappings in a Hilbert space, Takahashi [12] recently introduced and studied the following iterative algorithm:
Summary
In order to find a common solution of fixed point problems for an finite family of demimetric mappings and the variational inequality problems for a infinite family of inverse strongly monotone mappings in a Hilbert space, Takahashi [12] recently introduced and studied the following iterative algorithm:. Takahashi [15] introduced the following iteration process for finding a common solution of fixed-point problems with an infinite family of demimetric mappings and the variational inequality problems with an infinite family of inverse strongly monotone mappings in a Hilbert space:. We present a new iterative scheme for finding a common solution of the generalized mixed equilibrium problems and fixed point problems of demimetric mappings under nonlinear transformations in Banach spaces. Some other results are improved; see [9] [11] [16] [17] [18] [20] [24] [25]
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