{"id":2619,"date":"2025-07-26T14:42:24","date_gmt":"2025-07-26T14:42:24","guid":{"rendered":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/?page_id=2619"},"modified":"2025-07-26T21:24:02","modified_gmt":"2025-07-26T21:24:02","slug":"some-new-fixed-point-theorems-for-asymptotically-nonexpansive-typemappings-in-cat-k-spaces","status":"publish","type":"page","link":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/some-new-fixed-point-theorems-for-asymptotically-nonexpansive-typemappings-in-cat-k-spaces\/","title":{"rendered":"Some New Fixed point theorems for asymptotically nonexpansive type mappings in CAT(k) spaces"},"content":{"rendered":"\n
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Moroccan Journal of Algebra and Geometry with Applications<\/strong><\/p>\n\n\n\n

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Some New Fixed point theorems for asymptotically nonexpansive
type mappings in CAT(k) spaces<\/strong><\/p>\n<\/div>\n<\/div>\n\n\n\n

R. Keshavarz\\,^1<\/span> and H. Azadi Kenary<\/strong>\\,^2<\/span><\/i>
\\,^{1,2}<\/span>Department of Mathematics,Yasouj University, Yasouj 75914-353, Iran<\/p>\n\n\n\n

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Pages 11-27 | Received 25 April 2024, Accepted 01 September 2024, Published 10 July 2025 <\/span><\/p>\n\n\n\n

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Abstract<\/span><\/strong><\/p>\n\n\n\n

In this paper we prove a convergence theorem of the Mann iteration scheme for a asymptotically nonexpansive type mappings in CAT(k) spaces with k>0. We also obtain a convergence theorem of the Ishikawa iteration scheme for asymptotically nonexpansive mappings.<\/p>\n\n\n\n

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Keywords<\/strong>:<\/span>  Mann and Ishikawa iteration; strong convergence; CAT(k) space; common fixed point; R-convex space.<\/p>\n\n\n\n

MSC numbers<\/strong>:<\/span> 39B05; 39B22; 46B22; 20K30.<\/p>\n\n\n\n

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Moroccan Journal of Algebra and Geometry with Applications Latest articles Some New Fixed point theorems for asymptotically nonexpansive type mappings in CAT(k) spaces R. Keshavarz and H. Azadi Kenary Department of Mathematics,Yasouj University, Yasouj 75914-353, Iran Pages 11-27 | Received 25 April 2024, Accepted 01 September 2024, Published 10 July 2025 Abstract In this paper Read More<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"template-page-builder.php","meta":{"footnotes":""},"class_list":["post-2619","page","type-page","status-publish","hentry","entry"],"_links":{"self":[{"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages\/2619","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/comments?post=2619"}],"version-history":[{"count":7,"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages\/2619\/revisions"}],"predecessor-version":[{"id":2696,"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages\/2619\/revisions\/2696"}],"wp:attachment":[{"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/media?parent=2619"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}