Split Null Point Problems and Fixed Point Problems for Demicontractive Multivalued Mappings

Split Null Point Problems and Fixed Point Problems for Demicontractive Multivalued Mappings

© 2018, Springer Nature Switzerland AG. In this paper, we consider the split null point problem and the fixed point problem for multivalued mappings in Hilbert spaces. We introduce a Halpern-type algorithm for solving the problem for maximal monotone operators and demicontractive multivalued mapping...

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Main Authors: Pachara Jailoka, Suthep Suantai
Format: Journal
Published: 2018
Subjects:
Mathematics
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85054140397&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/62767
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-627672018-11-29T07:47:56Z Split Null Point Problems and Fixed Point Problems for Demicontractive Multivalued Mappings Pachara Jailoka Suthep Suantai Mathematics © 2018, Springer Nature Switzerland AG. In this paper, we consider the split null point problem and the fixed point problem for multivalued mappings in Hilbert spaces. We introduce a Halpern-type algorithm for solving the problem for maximal monotone operators and demicontractive multivalued mappings, and establish a strong convergence result under some suitable conditions. Also, we apply our problem of main result to other split problems, that is, the split feasibility problem, the split equilibrium problem, and the split minimization problem. Finally, a numerical result for supporting our main result is also supplied. 2018-11-29T07:47:56Z 2018-11-29T07:47:56Z 2018-10-01 Journal 16605454 16605446 2-s2.0-85054140397 10.1007/s00009-018-1251-4 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85054140397&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/62767
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Mathematics
spellingShingle Mathematics
Pachara Jailoka
Suthep Suantai
Split Null Point Problems and Fixed Point Problems for Demicontractive Multivalued Mappings
description © 2018, Springer Nature Switzerland AG. In this paper, we consider the split null point problem and the fixed point problem for multivalued mappings in Hilbert spaces. We introduce a Halpern-type algorithm for solving the problem for maximal monotone operators and demicontractive multivalued mappings, and establish a strong convergence result under some suitable conditions. Also, we apply our problem of main result to other split problems, that is, the split feasibility problem, the split equilibrium problem, and the split minimization problem. Finally, a numerical result for supporting our main result is also supplied.
format Journal
author Pachara Jailoka
Suthep Suantai
author_facet Pachara Jailoka
Suthep Suantai
author_sort Pachara Jailoka
title Split Null Point Problems and Fixed Point Problems for Demicontractive Multivalued Mappings
title_short Split Null Point Problems and Fixed Point Problems for Demicontractive Multivalued Mappings
title_full Split Null Point Problems and Fixed Point Problems for Demicontractive Multivalued Mappings
title_fullStr Split Null Point Problems and Fixed Point Problems for Demicontractive Multivalued Mappings
title_full_unstemmed Split Null Point Problems and Fixed Point Problems for Demicontractive Multivalued Mappings
title_sort split null point problems and fixed point problems for demicontractive multivalued mappings
publishDate 2018
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85054140397&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/62767
_version_ 1681425868377817088

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