Proximal point algorithms involving fixed point iteration for nonexpansive mappings in cat(κ) spaces

Proximal point algorithms involving fixed point iteration for nonexpansive mappings in cat(κ) spaces

© 2018, SINUS Association. All rights reserved. In this paper, we propose a new modified proximal point algorithm involving fixed point iteration for nonexpansive mappings in CAT(1) spaces. Under some mild conditions, we prove that the sequence generated by our iterative algorithm ∆-converges to a c...

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Main Authors: Nuttapol Pakkaranang, Poom Kumam, Prasit Cholamjiak, Raweerote Suparatulatorn, Parin Chaipunya
Format: Journal
Published: 2018
Subjects:
Mathematics
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85055001070&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/62778
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Institution: Chiang Mai University
id th-cmuir.6653943832-62778
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spelling th-cmuir.6653943832-627782018-11-29T07:49:41Z Proximal point algorithms involving fixed point iteration for nonexpansive mappings in cat(κ) spaces Nuttapol Pakkaranang Poom Kumam Prasit Cholamjiak Raweerote Suparatulatorn Parin Chaipunya Mathematics © 2018, SINUS Association. All rights reserved. In this paper, we propose a new modified proximal point algorithm involving fixed point iteration for nonexpansive mappings in CAT(1) spaces. Under some mild conditions, we prove that the sequence generated by our iterative algorithm ∆-converges to a common solution between certain convex optimization and fixed point problems. 2018-11-29T07:49:41Z 2018-11-29T07:49:41Z 2018-01-01 Journal 18434401 15842851 2-s2.0-85055001070 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85055001070&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/62778
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Mathematics
spellingShingle Mathematics
Nuttapol Pakkaranang
Poom Kumam
Prasit Cholamjiak
Raweerote Suparatulatorn
Parin Chaipunya
Proximal point algorithms involving fixed point iteration for nonexpansive mappings in cat(κ) spaces
description © 2018, SINUS Association. All rights reserved. In this paper, we propose a new modified proximal point algorithm involving fixed point iteration for nonexpansive mappings in CAT(1) spaces. Under some mild conditions, we prove that the sequence generated by our iterative algorithm ∆-converges to a common solution between certain convex optimization and fixed point problems.
format Journal
author Nuttapol Pakkaranang
Poom Kumam
Prasit Cholamjiak
Raweerote Suparatulatorn
Parin Chaipunya
author_facet Nuttapol Pakkaranang
Poom Kumam
Prasit Cholamjiak
Raweerote Suparatulatorn
Parin Chaipunya
author_sort Nuttapol Pakkaranang
title Proximal point algorithms involving fixed point iteration for nonexpansive mappings in cat(κ) spaces
title_short Proximal point algorithms involving fixed point iteration for nonexpansive mappings in cat(κ) spaces
title_full Proximal point algorithms involving fixed point iteration for nonexpansive mappings in cat(κ) spaces
title_fullStr Proximal point algorithms involving fixed point iteration for nonexpansive mappings in cat(κ) spaces
title_full_unstemmed Proximal point algorithms involving fixed point iteration for nonexpansive mappings in cat(κ) spaces
title_sort proximal point algorithms involving fixed point iteration for nonexpansive mappings in cat(κ) spaces
publishDate 2018
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85055001070&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/62778
_version_ 1681425870458191872

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