Adaptive algorithm for solving the SCFPP of demicontractive operators without a priori knowledge of operator norms-Reference-Cited by-同舟云学术

Adaptive algorithm for solving the SCFPP of demicontractive operators without a priori knowledge of operator norms

Published:2019-12-01 Issue:3 Volume:27 Page:153-175
ISSN:1844-0835
Container-title:Analele Universitatii "Ovidius" Constanta - Seria Matematica
language:en
Short-container-title:

Author:

Kitkuan Duangkamon¹,Kumam Poom²,Berinde Vasile³,Padcharoen Anantachai⁴

Affiliation:

1. KMUTTFixed Point Research Laboratory , Department of Mathematics , Room SCL 802 Fixed Point Laboratory, Science Laboratory Building , Faculty of Science , King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140 , Thailand .

2. KMUTT-Fixed Point Theory and Applications Research Group, Theoretical and Computational Science Center (TaCS) , Science Laboratory Building , Faculty of Science , King Mongkut’s University of Technology Thonburi (KMUTT) , 126 Pracha Uthit Rd., Bang Mod, Thrung Khru, Bangkok 10140 , Thailand .

3. Technical University of Cluj-Napoca, North University Center of Baia Mare , Department of Mathematics and Computer Science , Romania . Academy of Romanian Scientists .

4. KMUTTFixed Point Research Laboratory, Department of Mathematics, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building , Faculty of Science , King Mongkut’s University of Technology Thonburi (KMUTT) , 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140 , Thailand .

Abstract

Abstract In this paper, we study the split common fixed point problem in Hilbert spaces. We find a common solution of the split common fixed point problem for two demicontractive operators without a priori knowledge of operator norms. A strong convergence theorem is obtained under some additional conditions and numerical examples are included to illustrate the applications in signal compressed sensing and image restoration.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/auom-2019-0039

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