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Iterative algorithms for variational inclusions, mixed equilibrium and fixed point problems with application to optimization problems

100%

Yao Y., Cho Y., Liou Y.-C.

Open Mathematics

2011

tom 9

nr 3

640-656

In this paper, we introduce an iterative algorithm for finding a common element of the set of solutions of a mixed equilibrium problem, the set of fixed points of a nonexpansive mapping, and the the set of solutions of a variational inclusion in a real Hilbert space. Furthermore, we prove that the proposed iterative algorithm converges strongly to a common element of the above three sets, which is a solution of a certain optimization problem related to a strongly positive bounded linear operator.

Walsh-Marcinkiewicz means and Hardy spaces

100%

Nagy K., Tephnadze G.

Open Mathematics

2014

tom 12

nr 8

1214-1228

The main aim of this paper is to investigate the Walsh-Marcinkiewicz means on the Hardy space H p, when 0 < p < 2/3. We define a weighted maximal operator of Walsh-Marcinkiewicz means and establish some of its properties. With its aid we provide a necessary and sufficient condition for convergence of the Walsh-Marcinkiewicz means in terms of modulus of continuity on the Hardy space H p, and prove a strong convergence theorem for the Walsh-Marcinkiewicz means.

Ograniczanie wyników

2 Open Mathematics

1 Cho Y.

1 Liou Y.-C.

1 Nagy K.

1 Tephnadze G.

1 Yao Y.

1 2014

1 2011

Wyniki wyszukiwania

Iterative algorithms for variational inclusions, mixed equilibrium and fixed point problems with application to optimization problems

Walsh-Marcinkiewicz means and Hardy spaces