Approximation of common fixed points of left Bregman strongly nonexpansive mappings and solutions of equilibrium problems
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Yekini Shehu
und
Ferdinard U. Ogbuisi
Abstract
In this paper we propose an iterative algorithm based on the hybrid method in mathematical programming for approximating a common fixed point of an infinite family of left Bregman strongly nonexpansive mappings which also solves a finite system of equilibrium problems in a reflexive real Banach space. We further prove that our iterative sequence converges strongly to a common fixed point of an infinite family of left Bregman strongly nonexpansive mappings which is also a common solution to a finite system of equilibrium problems. Our result extends many recent and important results in the literature.
We are grateful to the anonymous referee for their invaluable comments and suggestion that help in fine turning the final version of this paper.
© 2015 by De Gruyter
Artikel in diesem Heft
- Frontmatter
- Approximation of common fixed points of left Bregman strongly nonexpansive mappings and solutions of equilibrium problems
- Global existence and stability results for partial fractional random differential equations
- One-phase Stefan problem with temperature-dependent thermal conductivity and a boundary condition of Robin type
- On Janowski harmonic functions
- Oscillation results for higher order nonlinear neutral differential equations with positive and negative coefficients
- Averaging of a nonlinear bipolar model with phase transition and oscillating external forces
- Evolution and monotonicity of the first eigenvalue of p-Laplacian under the Ricci-harmonic flow
Artikel in diesem Heft
- Frontmatter
- Approximation of common fixed points of left Bregman strongly nonexpansive mappings and solutions of equilibrium problems
- Global existence and stability results for partial fractional random differential equations
- One-phase Stefan problem with temperature-dependent thermal conductivity and a boundary condition of Robin type
- On Janowski harmonic functions
- Oscillation results for higher order nonlinear neutral differential equations with positive and negative coefficients
- Averaging of a nonlinear bipolar model with phase transition and oscillating external forces
- Evolution and monotonicity of the first eigenvalue of p-Laplacian under the Ricci-harmonic flow
