Best approximations in metric spaces with property strongly UC
In this article, we introduce a geometrical notion, property strongly UC which is stronger than property UC and prove the existence of best approximations for a new class of almost cyclic $\psi$-contraction maps in a metric space. As a particular case, we obtain the main results of [Sadiq Basha, S.,...
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| creator | Digar, Abhik |
| description | In this article, we introduce a geometrical notion, property strongly UC
which is stronger than property UC and prove the existence of best
approximations for a new class of almost cyclic $\psi$-contraction maps in a
metric space. As a particular case, we obtain the main results of [Sadiq Basha,
S., Best approximation theorems for almost cyclic contractions. J. Fixed Point
Theory Appl. 23 (2021), MR4254305] and [Eldred, A. Anthony; Veeramani, P.,
Existence and convergence of best proximity points. J. Math. Anal. Appl. 323
(2006), MR2260159]. Moreover, we study the existence of best approximations for
almost cyclic contractions in a reflexive Banach space. |
| doi_str_mv | 10.48550/arxiv.2310.10154 |
| format | Article |
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which is stronger than property UC and prove the existence of best
approximations for a new class of almost cyclic $\psi$-contraction maps in a
metric space. As a particular case, we obtain the main results of [Sadiq Basha,
S., Best approximation theorems for almost cyclic contractions. J. Fixed Point
Theory Appl. 23 (2021), MR4254305] and [Eldred, A. Anthony; Veeramani, P.,
Existence and convergence of best proximity points. J. Math. Anal. Appl. 323
(2006), MR2260159]. Moreover, we study the existence of best approximations for
almost cyclic contractions in a reflexive Banach space.</description><identifier>DOI: 10.48550/arxiv.2310.10154</identifier><language>eng</language><subject>Mathematics - Functional Analysis</subject><creationdate>2023-10</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2310.10154$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2310.10154$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Digar, Abhik</creatorcontrib><title>Best approximations in metric spaces with property strongly UC</title><description>In this article, we introduce a geometrical notion, property strongly UC
which is stronger than property UC and prove the existence of best
approximations for a new class of almost cyclic $\psi$-contraction maps in a
metric space. As a particular case, we obtain the main results of [Sadiq Basha,
S., Best approximation theorems for almost cyclic contractions. J. Fixed Point
Theory Appl. 23 (2021), MR4254305] and [Eldred, A. Anthony; Veeramani, P.,
Existence and convergence of best proximity points. J. Math. Anal. Appl. 323
(2006), MR2260159]. Moreover, we study the existence of best approximations for
almost cyclic contractions in a reflexive Banach space.</description><subject>Mathematics - Functional Analysis</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotj8tqwzAURLXJoiT9gK6qH3AqWbIkbwqJ6QsCXbRZmyv5OhUktpBEG_993TSrgWEYziHkjrO1NFXFHiCe_fe6FHPBGa_kDXncYsoUQojj2Z8g-3FI1A_0hDl6R1MAh4n--PxF50nAmCeachyHw3Gi-2ZFFj0cE95ec0k-np8-m9di9_7y1mx2BSgti7431lpRK6aN1JxjJ0uOyhgLWtUWSglMy7pnjmGJCjuO0jnTaWc0KCGW5P7_9cLfhjiTxqn982gvHuIXkHBDcg</recordid><startdate>20231016</startdate><enddate>20231016</enddate><creator>Digar, Abhik</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20231016</creationdate><title>Best approximations in metric spaces with property strongly UC</title><author>Digar, Abhik</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a674-ff8bbb3960784711ed421e688ba769ba24a0749f0c0e2e6ed1e4cc8d7c87a633</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Mathematics - Functional Analysis</topic><toplevel>online_resources</toplevel><creatorcontrib>Digar, Abhik</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Digar, Abhik</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Best approximations in metric spaces with property strongly UC</atitle><date>2023-10-16</date><risdate>2023</risdate><abstract>In this article, we introduce a geometrical notion, property strongly UC
which is stronger than property UC and prove the existence of best
approximations for a new class of almost cyclic $\psi$-contraction maps in a
metric space. As a particular case, we obtain the main results of [Sadiq Basha,
S., Best approximation theorems for almost cyclic contractions. J. Fixed Point
Theory Appl. 23 (2021), MR4254305] and [Eldred, A. Anthony; Veeramani, P.,
Existence and convergence of best proximity points. J. Math. Anal. Appl. 323
(2006), MR2260159]. Moreover, we study the existence of best approximations for
almost cyclic contractions in a reflexive Banach space.</abstract><doi>10.48550/arxiv.2310.10154</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Functional Analysis |
| title | Best approximations in metric spaces with property strongly UC |
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