Fixed point theorems for χ,F-Dass–Gupta contraction mappings in b-metric spaces with applications to integral equations
In this paper, we introduce new types of χ , F -contraction mappings by involving rational expressions and establish two new fixed point theorems for this class of mappings in the setting of b -metric spaces. Furthermore, our results allow us to deduce, extend and improve some previous works in the...
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| Veröffentlicht in: | Boletín de la Sociedad Matemática Mexicana 2022, Vol.28 (2) |
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| container_title | Boletín de la Sociedad Matemática Mexicana |
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| creator | Zahi, Ouanassa Ramoul, Hichem |
| description | In this paper, we introduce new types of
χ
,
F
-contraction mappings by involving rational expressions and establish two new fixed point theorems for this class of mappings in the setting of
b
-metric spaces. Furthermore, our results allow us to deduce, extend and improve some previous works in the existing literature. Along with these, some illustrative examples are also constructed in the support of our obtained fixed point theorems. As applications of our results, we investigate sufficient criteria for the existence and uniqueness of solution for certain types of nonlinear integral equations. |
| doi_str_mv | 10.1007/s40590-022-00435-6 |
| format | Article |
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χ
,
F
-contraction mappings by involving rational expressions and establish two new fixed point theorems for this class of mappings in the setting of
b
-metric spaces. Furthermore, our results allow us to deduce, extend and improve some previous works in the existing literature. Along with these, some illustrative examples are also constructed in the support of our obtained fixed point theorems. As applications of our results, we investigate sufficient criteria for the existence and uniqueness of solution for certain types of nonlinear integral equations.</description><identifier>ISSN: 1405-213X</identifier><identifier>EISSN: 2296-4495</identifier><identifier>DOI: 10.1007/s40590-022-00435-6</identifier><language>eng</language><publisher>Cham: Springer International Publishing</publisher><subject>Fixed points (mathematics) ; Integral equations ; Mathematical analysis ; Mathematics ; Mathematics and Statistics ; Metric space ; Original Article ; Theorems</subject><ispartof>Boletín de la Sociedad Matemática Mexicana, 2022, Vol.28 (2)</ispartof><rights>Sociedad Matemática Mexicana 2022</rights><rights>Sociedad Matemática Mexicana 2022.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-p726-8846681194c7b0a824eeb12789346d791c2693688f363e7bb3eb47cbb77235fa3</cites><orcidid>0000-0001-5074-3468</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s40590-022-00435-6$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s40590-022-00435-6$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Zahi, Ouanassa</creatorcontrib><creatorcontrib>Ramoul, Hichem</creatorcontrib><title>Fixed point theorems for χ,F-Dass–Gupta contraction mappings in b-metric spaces with applications to integral equations</title><title>Boletín de la Sociedad Matemática Mexicana</title><addtitle>Bol. Soc. Mat. Mex</addtitle><description>In this paper, we introduce new types of
χ
,
F
-contraction mappings by involving rational expressions and establish two new fixed point theorems for this class of mappings in the setting of
b
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χ
,
F
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b
-metric spaces. Furthermore, our results allow us to deduce, extend and improve some previous works in the existing literature. Along with these, some illustrative examples are also constructed in the support of our obtained fixed point theorems. As applications of our results, we investigate sufficient criteria for the existence and uniqueness of solution for certain types of nonlinear integral equations.</abstract><cop>Cham</cop><pub>Springer International Publishing</pub><doi>10.1007/s40590-022-00435-6</doi><orcidid>https://orcid.org/0000-0001-5074-3468</orcidid></addata></record> |
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| issn | 1405-213X 2296-4495 |
| language | eng |
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| source | SpringerLink Journals - AutoHoldings |
| subjects | Fixed points (mathematics) Integral equations Mathematical analysis Mathematics Mathematics and Statistics Metric space Original Article Theorems |
| title | Fixed point theorems for χ,F-Dass–Gupta contraction mappings in b-metric spaces with applications to integral equations |
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