An Extension of Mixed Monotone Mapping to Tripled Fixed Point Theorem in Fuzzy Metric Spaces
Subject Areas : Fixed Point Theory and its ApplicationsSamuel Aniki 1 , Sheidu Momoh 2
1 - Department of Mathematics, Faculty of Science, Confluence University of Science and Technology, Osara, Kogi State, Nigeria
2 - Department of Mathematics, Federal University Lokoja, Kogi State, Nigeria
Keywords:
Abstract :
[1] Bhaskar T, Lakshmikantham V, Fixed point theorems in partially ordered metric spaces and applications. Nonlinear Anal. 2006; 65(7):1379-1393 (Doi: 10.1016/j.na.2005.10.017)
[2] Zadeh L, Fuzzy sets. Inf Control. 1965; 8:338-353 (Doi: 10.1016/S0019-9958(65)90241-X)
[3] George A, Veeramani P, On some results in fuzzy metric spaces. Fuzzy Sets Syst. 1994; 64:395-399 (Doi: 10.1016/0165-0114(94)90162-7)
[4] Kramosil I, Michalek J, Fuzzy metric and statistical metric spaces. Kybernetika. 1995; 11:326-333
[5] Hu, X, Common coupled fixed point theorems for contractive mappings in fuzzy metric spaces. Fixed Point Theory Appl. 2011; 363716 (Doi: 10.1155/2011/363716)
[6] Zhu X, Xiao J, Note on “Coupled fixed point theorems for contractions in fuzzy metric spaces”. Nonlinear Anal. 2011; 74(16):5475-5479 (Doi: 10.1016/j.na.2011.05.034)
[7] Berinde V, Borcut M, Tripled fixed point theorems for contractive type mappings in partially ordered metric spaces. Nonlinear Anal. 2011; 74:4889-4897 (Doi: 10.1016/j.na.2011.03.032)
[8] Borcut M, Berinde V, Tripled coincidence theorems for contractive type mappings in partially ordered metric spaces. Appl Math Comput. 2012; 218:5929-5936 (Doi: 10.1016/j.amc.2011.11.049)
[9] Aydi H, Karapınar E, Postolache M, Tripled coincidence theorems for weak ϕ-contractions in partially ordered metric spaces. Fixed Point Theory Appl. 2012; 44 (Doi: 10.1186/1687-1812-2012-44)
[10] Izadikhah, M., Farzipoor Saen, R. Solving voting system by data envelopment analysis for assessing sustainability of suppliers. Group Decis Negot, 2019, 28, P. 641–669. Doi: 10.1007/s10726-019-09616-7
[11] Poordavoodi, A., Reza, M., Haj, H., Rahmani, A. M., Izadikhah, M., Toward a More Accurate Web Service Selection Using Modified Interval DEA Models with Undesirable Outputs. CMES-Computer Modeling in Engineering & Sciences, 2020, 123(2), P. 525–570. Doi: 10.32604/cmes.2020.08854
[12] Azadi, M., Izadikhah, M., Ramezani, F., Hussain, F.K., A mixed ideal and anti-ideal DEA model: an application to evaluate cloud service providers, IMA Journal of Management Mathematics, 2000, 31(20), P. 233–256, Doi: 10.1093/imaman/dpz012
[13] Izadikhah, M. Financial Assessment of Banks and Financial Institutes in Stock Exchange by Means of an Enhanced Two stage DEA Model. Advances in Mathematical Finance and Applications, 2021, 6(2), P. 207-232. Doi: 10.22034/amfa.2020.1910507.1491
[14] Karapınar E, Luong N, Quadruple fixed point theorems for nonlinear contractions. Comput Math Appl. 2012; 64:1839-1848 (Doi: 10.1016/j.camwa.2012.02.061)
[15] Karapınar E, Berinde V, Quadruple fixed point theorems for nonlinear contractions in partially ordered metric spaces. Banach J Math Anal. 2012; 6:74-89 (Doi: 10.15352/bjma/1337014666)
[16] Roldan A, Martinez-Moreno J, Roldan, C, Multidimensional fixed point theorems in partially ordered complete metric spaces. J Math Anal Appl. 2012; 396: 536-545 (Doi: 10.1016/j.jmaa.2012.06.049)
[17] Roldan A, Martinez-Moreno J, Roldan C, Multidimensional coincidence point results for compatible mappings in partially ordered fuzzy metric spaces. Fuzzy Sets Syst. 2013; (Doi: 10.1016/j.fss.2013.10.009)
[18] Roldan A, Martinez-Moreno J, Roldan C, Tripled fixed point theorem in fuzzy metric spaces and applications. Fixed Point Theory and Applications. 2013; 2013:29 (Doi:10.1186/1687-1812-2013-29)
[19] Hadzic O, Pap E, Fixed point theory in probabilistic metric spaces. Dordrecht: Kluwer Academic; 2001.