Fixed points of Suzuki-generalized nonexpansive mappings in $$CAT_p(0)$$ C A T p ( 0 ) metric spaces

Abstract In this work, we obtain fixed point theorems and convergence theorems for Suzuki-generalized nonexpansive mappings in complete $$CAT_p(0)$$ C A T p ( 0 ) metric spaces for $$p\ge 2$$ p ≥ 2 . Our results extend and improve many results in the literature.

Bibliographic Details
Main Authors: Alia Abu Darweesh, Sami Shukri
Format: Article
Language:English
Published: SpringerOpen 2024-02-01
Series:Arabian Journal of Mathematics
Subjects:
Online Access:https://doi.org/10.1007/s40065-024-00455-2
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author Alia Abu Darweesh
Sami Shukri
author_facet Alia Abu Darweesh
Sami Shukri
author_sort Alia Abu Darweesh
collection DOAJ
description Abstract In this work, we obtain fixed point theorems and convergence theorems for Suzuki-generalized nonexpansive mappings in complete $$CAT_p(0)$$ C A T p ( 0 ) metric spaces for $$p\ge 2$$ p ≥ 2 . Our results extend and improve many results in the literature.
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spelling doaj.art-2979b16b02c24e4985f4b743b046f3082024-03-10T12:06:06ZengSpringerOpenArabian Journal of Mathematics2193-53432193-53512024-02-0113122723610.1007/s40065-024-00455-2Fixed points of Suzuki-generalized nonexpansive mappings in $$CAT_p(0)$$ C A T p ( 0 ) metric spacesAlia Abu Darweesh0Sami Shukri1Department of Mathematics, Al-Hussein Bin Talal UniversityDepartment of Mathematics, Al-Hussein Bin Talal UniversityAbstract In this work, we obtain fixed point theorems and convergence theorems for Suzuki-generalized nonexpansive mappings in complete $$CAT_p(0)$$ C A T p ( 0 ) metric spaces for $$p\ge 2$$ p ≥ 2 . Our results extend and improve many results in the literature.https://doi.org/10.1007/s40065-024-00455-247H0947H1054E40
spellingShingle Alia Abu Darweesh
Sami Shukri
Fixed points of Suzuki-generalized nonexpansive mappings in $$CAT_p(0)$$ C A T p ( 0 ) metric spaces
Arabian Journal of Mathematics
47H09
47H10
54E40
title Fixed points of Suzuki-generalized nonexpansive mappings in $$CAT_p(0)$$ C A T p ( 0 ) metric spaces
title_full Fixed points of Suzuki-generalized nonexpansive mappings in $$CAT_p(0)$$ C A T p ( 0 ) metric spaces
title_fullStr Fixed points of Suzuki-generalized nonexpansive mappings in $$CAT_p(0)$$ C A T p ( 0 ) metric spaces
title_full_unstemmed Fixed points of Suzuki-generalized nonexpansive mappings in $$CAT_p(0)$$ C A T p ( 0 ) metric spaces
title_short Fixed points of Suzuki-generalized nonexpansive mappings in $$CAT_p(0)$$ C A T p ( 0 ) metric spaces
title_sort fixed points of suzuki generalized nonexpansive mappings in cat p 0 c a t p 0 metric spaces
topic 47H09
47H10
54E40
url https://doi.org/10.1007/s40065-024-00455-2
work_keys_str_mv AT aliaabudarweesh fixedpointsofsuzukigeneralizednonexpansivemappingsincatp0catp0metricspaces
AT samishukri fixedpointsofsuzukigeneralizednonexpansivemappingsincatp0catp0metricspaces