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Approximation of common fixed points of left Bregman strongly nonexpansive mappings and solutions of equilibrium problems

Shehu Y., Ogbuisi F. U.

Journal of Applied Analysis

2015

Vol. 21, nr 2

63--77

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.

Some properties of positive weak Dunford-Pettis operators on Banach lattices

Aqzzouz B., Bourass K.

Demonstratio Mathematica

2009

Vol. 42, nr 4

817-823

We characterize Banach lattices for which each positive weak Dunford-Pettis operator is weakly compact. As consequences, we obtain some interesting results on reflexive Banach lattices.

Stability of solutions for a class of convex minimization problems on reflective Banach spaces

Zaslavski A. J.

Journal of Mathematics and Applications

2008

Vol. 30

151-160

In this paper we study stability of solutions of minimization problems �(x) → min, x ∈ C, where � is a convex lower semicontinuous function and a set C is the countable intersection of a decreasing sequence of closed sets Ci in a reflexive Banach space X.

The Norlund Orlicz spaces of entire sequence

Subramanian N., Altin Y., Bektas C.

Demonstratio Mathematica

2007

Vol. 40, nr 2

393-398

Let gamma M denote the space of all Orlicz space entire sequences. Let lambda M denote the space of all Orlicz space of sanalytic sequences. This paper is devoted to a study of the general properties of Norlund Orlicz sequence space eta(gamma M) and gamma M.