Fixed Point Theory in the Setting of (α,β,ψ,φ)-Interpolative Contractions
| dc.contributor.author | Fulga, Andreea | |
| dc.contributor.author | Lopez de Hierro, Antonio Francisco Roldan | |
| dc.contributor.author | Erdal Karapinar | |
| dc.date.accessioned | 2022-04-29T12:58:10Z | |
| dc.date.accessioned | 2025-09-18T12:49:15Z | |
| dc.date.available | 2022-04-29T12:58:10Z | |
| dc.date.available | 2025-09-18T12:49:15Z | |
| dc.date.issued | 2021 | |
| dc.description.abstract | In this manuscript we introduce the notion of (alpha,beta,psi,phi)-interpolative contraction that unifies and generalizes significant concepts: Proinov type contractions, interpolative contractions, and ample spectrum contraction. We investigate the necessary and sufficient conditions to guarantee existence and uniqueness of the fixed point of such mappings. | en_US |
| dc.description.sponsorship | Junta de Andalucia [FQM-365]; Andalusian CICYE [PID2020-119478GB-I00] | en_US |
| dc.description.sponsorship | The authors thank their universities. A.F. Roldan Lopez de Hierro is grateful to Junta de Andalucia by project FQM-365 of the Andalusian CICYE and to Ministerio de Ciencia e Innovacion by project PID2020-119478GB-I00. | en_US |
| dc.identifier.citation | Karapınar, Erdal; Fulga, Andreea; Lopez de Hierro, Antonio Francisco Roldan (2021). "Fixed point theory in the setting of (alpha,beta,psi,phi)-interpolative contractions", Advances in Difference Equations, Vol. 2021, No. 1. | en_US |
| dc.identifier.doi | 10.1186/s13662-021-03491-w | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-85110728161 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-021-03491-w | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12313 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Advances in Difference Equations | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Interpolative Contraction | en_US |
| dc.subject | Kannan Contraction | en_US |
| dc.subject | Proinov Contraction | en_US |
| dc.subject | Ample Spectrum Contraction | en_US |
| dc.subject | Fixed Point | en_US |
| dc.subject | 47H10 | en_US |
| dc.subject | 47H09 | en_US |
| dc.subject | 54H25 | en_US |
| dc.title | Fixed Point Theory in the Setting of (α,β,ψ,φ)-Interpolative Contractions | en_US |
| dc.title | Fixed point theory in the setting of (alpha,beta,psi,phi)-interpolative contractions | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.wosid | Fulga, Andreea/E-8173-2015 | |
| gdc.author.wosid | Karapinar, Erdal/H-3177-2011 | |
| gdc.author.wosid | Roldán López De Hierro, Antonio Francisco/N-7880-2013 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Erdal Karapinar] Thu Dau Mot Univ, Div Appl Math, Thu Dau Mot City 820000, Binh Duong Prov, Vietnam; [Erdal Karapinar] Cankaya Univ, Dept Math, Mimar Sinan Caddesi, TR-06790 Ankara, Turkey; [Erdal Karapinar] China Med Univ, China Med Univ Hosp, Dept Med Res, Hsueh Shih Rd, Taichung 40402, Taiwan; [Fulga, Andreea] Transilvania Univ Brasov, Dept Math & Comp Sci, Brasov, Romania; [Lopez de Hierro, Antonio Francisco Roldan] Univ Granada, Fac Farm, Dept Stat & Operat Res, Campus Cartuja, Granada 18071, Spain | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.volume | 2021 | en_US |
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| gdc.oaire.keywords | Fixed-point and coincidence theorems (topological aspects) | |
| gdc.oaire.keywords | Kannan contraction | |
| gdc.oaire.keywords | Ample spectrum contraction | |
| gdc.oaire.keywords | Fixed point | |
| gdc.oaire.keywords | Interpolative contraction | |
| gdc.oaire.keywords | Proinov contraction | |
| gdc.oaire.keywords | ample spectrum contraction | |
| gdc.oaire.keywords | fixed point | |
| gdc.oaire.keywords | interpolative contraction | |
| gdc.oaire.keywords | QA1-939 | |
| gdc.oaire.keywords | Complete metric spaces | |
| gdc.oaire.keywords | Special maps on metric spaces | |
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