From interpolative contractive mappings to generalized Ciric-quasi contraction mappings

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dc.contributor.authorRoy, Kushales_ES
dc.contributor.authorPanja, Sayantanes_ES
dc.contributor.funderCouncil of Scientific and Industrial Research, Indiaes_ES
dc.date.accessioned2021-04-16T08:59:45Z
dc.date.available2021-04-16T08:59:45Z
dc.date.issued2021-04-01
dc.description.abstract[EN] In this article we consider a restricted version of Ciric-quasi contraction mapping for showing that this mapping generalizes several known interpolative type contractive mappings. Also here we introduce the concept of interpolative strictly contractive type mapping T and prove a fixed point theorem for such mapping over a T-orbitally compact metric space. Some examples are given in support of our established results. Finally we give an observation regarding (λ, α, β)-interpolative Kannan contractions introduced by Gaba et al.en_EN
dc.description.accrualMethodOJSes_ES
dc.description.bibliographicCitationRoy, K.; Panja, S. (2021). From interpolative contractive mappings to generalized Ciric-quasi contraction mappings. Applied General Topology. 22(1):109-120. https://doi.org/10.4995/agt.2021.14045es_ES
dc.description.issue1es_ES
dc.description.referencesC. B. Ampadu, Some fixed point theory results for the interpolative Berinde weak operator, Earthline Journal of Mathematical Sciences 4 no. 2 (2020), 253-271. https://doi.org/10.34198/ejms.4220.253271es_ES
dc.description.referencesS. Banach, Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales, Fund. Math. 3 (1922), 133-181. https://doi.org/10.4064/fm-3-1-133-181es_ES
dc.description.referencesL. B. Ciric, A generalization of Banach's contraction principle, Proc. Amer. Math. Soc. 45, no. 2 (1974), 267-273. https://doi.org/10.2307/2040075es_ES
dc.description.referencesH. Garai, L. K. Dey and T. Senapati, On Kannan-type contractive mappings, Numerical Functional Analysis and Optimization 39, no. 13 (2018), 1466-1476. https://doi.org/10.1080/01630563.2018.1485157es_ES
dc.description.referencesL. B. Ciric, Generalized contractions and fixed-point theorems, Publ. Inst. Math. 12 (1971), 19-26.es_ES
dc.description.referencesY. U. Gaba and E. Karapinar, A new approach to the interpolative contractions, Axioms 8, no. 4 (2019), 110. https://doi.org/10.3390/axioms8040110es_ES
dc.description.referencesE. Karapinar, Revisiting the Kannan type contractions via interpolation. Adv. Theory Nonlinear Anal. Appl. 2, no. 2 (2018), 85-87. https://doi.org/10.31197/atnaa.431135es_ES
dc.description.referencesE. Karapinar, R. P. Agarwal and H. Aydi, Interpolative Reich-Rus-Ciric type contractions on partial metric spaces, Mathematics 6, no. 11 (2018), 256. https://doi.org/10.3390/math6110256es_ES
dc.description.referencesE. Karapinar, O. Alqahtani and H. Aydi, On interpolative Hardy-Rogers type contractions, Symmetry 11, no. 1 (2018), 8. https://doi.org/10.3390/sym11010008es_ES
dc.description.referencesA. F. Roldán López de Hierro, E. Karapinar and A. Fulga, Multiparametric contractions and related Hardy-Roger type fixed point theorems, Mathematics 8, no. 6 (2020), 957. https://doi.org/10.3390/math8060957es_ES
dc.description.sponsorshipFirst and second authors acknowledge financial support awarded by the Council of Scientific and Industrial Research, New Delhi, India, through research fellowship for carrying out research work leading to the preparation of this manuscript.es_ES
dc.description.upvformatpfin120es_ES
dc.description.upvformatpinicio109es_ES
dc.description.volume22es_ES
dc.identifier.doi10.4995/agt.2021.14045
dc.identifier.eissn1989-4147
dc.identifier.issn1576-9402
dc.identifier.urihttps://riunet.upv.es/handle/10251/165245
dc.languageIngléses_ES
dc.publisherUniversitat Politècnica de Valènciaes_ES
dc.relation.ispartofApplied General Topologyes_ES
dc.relation.pasarelaOJS\14045es_ES
dc.relation.publisherversionhttps://doi.org/10.4995/agt.2021.14045es_ES
dc.relation.references10.34198/ejms.4220.253271es_ES
dc.relation.references10.4064/fm-3-1-133-181es_ES
dc.relation.references10.2307/2040075es_ES
dc.relation.references10.1080/01630563.2018.1485157es_ES
dc.relation.references10.3390/axioms8040110es_ES
dc.relation.references10.31197/atnaa.431135es_ES
dc.relation.references10.3390/math6110256es_ES
dc.relation.references10.3390/sym11010008es_ES
dc.relation.references10.3390/math8060957es_ES
dc.rightsReconocimiento - No comercial - Sin obra derivada (by-nc-nd)es_ES
dc.rights.accessRightsAbiertoes_ES
dc.subjectFixed pointes_ES
dc.subjectRestricted Ciric-quasi contraction mappinges_ES
dc.subjectInterpolative strictly contractive type mappinges_ES
dc.subjectT-orbitally compact metric spacees_ES
dc.titleFrom interpolative contractive mappings to generalized Ciric-quasi contraction mappingses_ES
dc.typeArtículoes_ES
dc.type.versioninfo:eu-repo/semantics/publishedVersiones_ES
dspace.entity.typePublication
upv.uuid94a897da-080b-419e-b3e3-1df92310ffbces_ES

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Applied General Topology - Vol 22, No 1 (2021)