<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this paper, we are concerned with the split equality problem of finding an element in the zero point set of the sum of two monotone operators and in the common fixed point set of a finite family of quasi-nonexpansive set-valued mappings. Strong convergence theorems are established under suitable condition in an infinite dimensional Hilbert spaces. Some applications of the main results are also provided.</p></abstract>

In this paper, we are concerned with the split equality problem of finding an element in the zero point set of the sum of two monotone operators and in the common fixed point set of a finite family of quasi-nonexpansive set-valued mappings. Strong convergence theorems are established under suitable condition in an infinite dimensional Hilbert spaces. Some applications of the main results are also provided.

Split equality monotone variational inclusions and fixed point problem of set-valued operator

University of Science and Technology of Mazandaran

Acta Universitatis Sapientiae, Mathematica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

In this paper, we are concerned with the split equality problem of finding an element in the zero point set of the sum of two monotone operators and in the...

Split equality monotone variational inclusions and fixed point problem of set-valued operator

Published Online: Aug 05, 2017

Page range: 94 - 121

Received: Jul 31, 2016

DOI: https://doi.org/10.1515/ausm-2017-0007

Keywords
split equality problem, monotone variational inclusions, quasi-nonexpansive, set-valued mappings

© 2017 Mohammad Eslamian et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Split equality monotone variational inclusions and fixed point problem of set-valued operator

Published Online: Aug 05, 2017

Page range: 94 - 121

Received: Jul 31, 2016

DOI: https://doi.org/10.1515/ausm-2017-0007

Keywordssplit equality problem, monotone variational inclusions, quasi-nonexpansive, set-valued mappings

© 2017 Mohammad Eslamian et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
split equality problem, monotone variational inclusions, quasi-nonexpansive, set-valued mappings