Common fixed points for generalized ψ-contractions in weak non-Archimedean fuzzy metric spaces

dc.contributor.authorSuantai, Suthepes_ES
dc.contributor.authorCho, Yeol Jees_ES
dc.contributor.authorTiammee, Jukraponges_ES
dc.contributor.funderChiang Mai University
dc.contributor.funderNational Research Foundation of Korea
dc.contributor.funderThailand Research Fund
dc.contributor.funderOffice of the Higher Education Commission, Tailandia
dc.date.accessioned2019-04-04T06:38:32Z
dc.date.available2019-04-04T06:38:32Z
dc.date.issued2019-04-01
dc.date.updated2019-04-04T06:30:06Z
dc.description.abstract[EN] Fixed point theory in fuzzy metric spaces plays very important role in theory of nonlinear problems in applied science. In this paper, we prove an existence result of common fixed point of four nonlinear mappings satisfying a new type of contractive condition in a generalized fuzzy metric space, called weak non-Archimedean fuzzy metric space. Our main results can be applied to solve the existence of solutions of non-linear equations in fuzzy metric spaces. Some examples supporting our main theorem are also given. Our results improve and generalize some recent results contained in Vetro (2011)[16]to generalized contractive conditions under some suitable conditions and many known results in the literature.en_EN
dc.description.accrualMethodSWORDes_ES
dc.description.bibliographicCitationSuantai, S.; Cho, YJ.; Tiammee, J. (2019). Common fixed points for generalized ψ-contractions in weak non-Archimedean fuzzy metric spaces. Applied General Topology. 20(1):1-18. https://doi.org/10.4995/agt.2019.7638es_ES
dc.description.issue1
dc.description.referencesY. J. Cho, Fixed points in fuzzy metric spaces, J. Fuzzy Math. 5 (1997), 949-962.es_ES
dc.description.referencesA. George and P. Veeramani, On some results in fuzzy metric spaces, Fuzzy Sets Syst. 64 (1994), 395-399. https://doi.org/10.1016/0165-0114(94)90162-7es_ES
dc.description.referencesA. George and P. Veeramani, On some results of analysis for fuzzy metric spaces, Fuzzy Sets and Systems. 90 (1997), 365-368. https://doi.org/10.1016/S0165-0114(96)00207-2es_ES
dc.description.referencesM. Grabiec, Fixed points in fuzzy metric spaces, Fuzzy Sets and Systems 27 (1989), 385-389. https://doi.org/10.1016/0165-0114(88)90064-4es_ES
dc.description.referencesV. Gregori and A. Sapena, On fixed-point theorems in fuzzy metric spaces, Fuzzy Sets and Systems 125 (2002), 245-252. https://doi.org/10.1016/S0165-0114(00)00088-9es_ES
dc.description.referencesM. Jain, K. Tas, S. Kumar and N. Gupta, Coupled fixed point theorems for a pair of weakly compatible maps along with CLRg-property in fuzzy metric spaces, J. Appl. Math. 2012 (2012) Art. ID 961210, 13 pp. https://doi.org/10.7763/ijapm.2012.v2.130es_ES
dc.description.referencesG. Jungck, Compatible mappings and common fixed points, Internat. J. Math. Math. Sci. 9 (1986), 771-779. https://doi.org/10.1155/S0161171286000935es_ES
dc.description.referencesG. Jungck, Common fixed points for noncontinuous nonself maps on nonmetric spaces, Far East J. Math. Sci. 4 (1996), 19-215.es_ES
dc.description.referencesI. Kramosil and J. Michalek, Fuzzy metric and statistical metric spaces, Kybernetica 11 (1975), 336-344.es_ES
dc.description.referencesS. Manro and C. Vetro, Common fixed point theorems in fuzzy metric spaces employing CLRg and JCLRst properties, Ser. Math. Inform. 29 (2014), 77-90.es_ES
dc.description.referencesJ. Martínez-Moreno, A. Roldán, C. Roldán and Y. J. Cho, Multi-dimensional coincidence point theorems for weakly compatible mappings with the CLRg-property in (fuzzy) metric spaces, Fixed Point Theory Appl. 2015, 2015:53. https://doi.org/10.1186/s13663-015-0297-2es_ES
dc.description.referencesD. Mihet, Fuzzy ψ-contractive mappings in non-Archimedean fuzzy metric spaces, Fuzzy Sets and Systems 159 (2008), 739-744. https://doi.org/10.1016/j.fss.2007.07.006es_ES
dc.description.referencesA.-F. Roldán-López-de-Hierro and W. Sintunavarat, Common fixed point theorems in fuzzy metric spaces using the CLRg-property, Fuzzy Sets and Systems 282 (2016), 131-142. https://doi.org/10.1016/j.fss.2014.11.005es_ES
dc.description.referencesA. Sapena, A contribution to the study of fuzzy metric spaces, Applied General Topology 2, no. 1 (2001), 63-75. https://doi.org/10.4995/agt.2001.3016es_ES
dc.description.referencesB. Schweizer and A. Sklar, Statistical metric space, Pacific J. Math. 10 (1960), 314-334. https://doi.org/10.2140/pjm.1960.10.313es_ES
dc.description.referencesC. Vetro, Fixed points in weak non-Archimedean fuzzy metric spaces, Fuzzy Sets Syst. 162 (2011), 84-90. https://doi.org/10.1016/j.fss.2010.09.018es_ES
dc.description.referencesL. A. Zadeh, Fuzzy sets, Inform. Control. 8 (1965), 338-353. https://doi.org/10.1016/S0019-9958(65)90241-Xes_ES
dc.description.sponsorshipS. Suantai was partially supported by Chiang Mai University. Yeol Je Cho was supported by Basic Science Research Program through National Research Foundation of Korea (NRF) funded by the Ministry of Science, ICT and future Planning (2014R1A2A2A01002100). J. Tiammee would like to thank the Thailand Research Fund and Office of the Higher Education Commission under Grant No. MRG6180050 for the financial support and Chiang Mai Rajabhat University.es_ES
dc.description.upvformatpfin18es_ES
dc.description.upvformatpinicio1es_ES
dc.description.volume20
dc.identifier.doi10.4995/agt.2019.7638
dc.identifier.eissn1989-4147
dc.identifier.issn1576-9402
dc.identifier.urihttps://riunet.upv.es/handle/10251/118954
dc.languageIngléses_ES
dc.publisherUniversitat Politècnica de València
dc.relation.ispartofApplied General Topology
dc.relation.projectIDinfo:eu-repo/grantAgreement/NRF//2014R1A2A2A01002100/
dc.relation.projectIDinfo:eu-repo/grantAgreement/OHEC//MRG6180050/
dc.relation.publisherversionhttps://doi.org/10.4995/agt.2019.7638es_ES
dc.relation.references10.1016/0165-0114(94)90162-7es_ES
dc.relation.references10.1016/S0165-0114(96)00207-2es_ES
dc.relation.references10.1016/0165-0114(88)90064-4es_ES
dc.relation.references10.1016/S0165-0114(00)00088-9es_ES
dc.relation.references10.7763/IJAPM.2012.V2.130es_ES
dc.relation.references10.1155/S0161171286000935es_ES
dc.relation.references10.1155/2014/486102es_ES
dc.relation.references10.1186/s13663-015-0297-2es_ES
dc.relation.references10.1016/j.fss.2007.07.006es_ES
dc.relation.references10.1016/j.fss.2014.11.005es_ES
dc.relation.references10.4995/agt.2001.3016es_ES
dc.relation.references10.2140/pjm.1960.10.313es_ES
dc.relation.references10.1016/j.fss.2010.09.018es_ES
dc.relation.references10.1016/S0019-9958(65)90241-Xes_ES
dc.rightsReconocimiento - No comercial - Sin obra derivada (by-nc-nd)es_ES
dc.rights.accessRightsAbiertoes_ES
dc.subjectCommon fixed pointes_ES
dc.subjectCompatible mappingses_ES
dc.subjectFuzzy metric spaceses_ES
dc.subjectWeak non-Achimedean fuzzy metric spaceses_ES
dc.subjectFuzzy topologyes_ES
dc.subjectCommon limites_ES
dc.titleCommon fixed points for generalized ψ-contractions in weak non-Archimedean fuzzy metric spaceses_ES
dc.typeArtículoes_ES
dc.type.versioninfo:eu-repo/semantics/publishedVersiones_ES
dspace.entity.typePublication
upv.uuidacc332ab-0e4a-4965-bc65-e1a348fec87fes_ES

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