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dc.contributor.authorVujaković, Jelena
dc.contributor.authorLjajko, Eugen
dc.contributor.authorPavlović, Mirjana
dc.contributor.authorRadenović, Stojan
dc.date.accessioned2023-03-31T07:51:43Z
dc.date.available2023-03-31T07:51:43Z
dc.date.issued2021-01-07
dc.identifier.urihttps://platon.pr.ac.rs/handle/123456789/1144
dc.description.abstractOne of the main goals of this paper is to obtain new contractive conditions using the method of a strictly increasing mapping F:(0,+∞)→(−∞,+∞). According to the recently obtained results, this was possible (Wardowski’s method) only if two more properties (F2) and (F3) were used instead of the aforementioned strictly increasing (F1). Using only the fact that the function F is strictly increasing, we came to new families of contractive conditions that have not been found in the existing literature so far. Assuming that α(u,v)=1 for every u and v from metric space Ξ, we obtain some contractive conditions that can be found in the research of Rhoades (Trans. Amer. Math. Soc. 1977, 222) and Collaco and Silva (Nonlinear Anal. TMA 1997). Results of the paper significantly improve, complement, unify, generalize and enrich several results known in the current literature. In addition, we give examples with results in line with the ones we obtained.en_US
dc.language.isoen_USen_US
dc.publisherMDPI (Basel, Switzerland)en_US
dc.titleOn Some New Contractive Conditions in Complete Metric Spacesen_US
dc.title.alternativeMathematicsen_US
dc.typeclanak-u-casopisuen_US
dc.description.versionpublishedVersionen_US
dc.identifier.doihttps://doi.org/10.3390/math9020118
dc.citation.volume9
dc.citation.issue2
dc.citation.spage118
dc.subject.keywordsα-admissible mappingsen_US
dc.subject.keywordstriangularly α-admissible mappingsen_US
dc.subject.keywordsF-contractionen_US
dc.subject.keywordsfixed pointen_US
dc.subject.keywordscontractive conditionen_US
dc.type.mCategoryM21aen_US
dc.type.mCategoryopenAccessen_US
dc.type.mCategoryM21aen_US
dc.type.mCategoryopenAccessen_US


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