参考文献:1. Ran, ACM, Reurings, MCB: A fixed point theorem in partially ordered sets and some applications to matrix equations. Proc. Am. Math. Soc. 132, 1435-1443 (2004) CrossRef 2. Nieto, JJ, Rodríguez-López, R: Contractive mapping theorem in partially ordered sets and applications to ordinary differential equations. Order 22, 223-239 (2005) CrossRef 3. Agarwal, RP, Karap?nar, E: Remarks on some coupled fixed point theorems in / G-metric spaces. Fixed Point Theory Appl. 2013, Article ID 2 (2013) CrossRef 4. Mustafa, Z, Sims, B: Fixed point theorems for contractive mappings in complete / G-metric spaces. Fixed Point Theory Appl. 2009, Article ID 917175 (2009) CrossRef 5. Mustafa, Z: A new structure for generalized metric spaces with applications to fixed point theory. Ph.D. thesis, the University of Newcastle, Australia (2005) 6. Mustafa, Z, Sims, B: A new approach to generalized metric spaces. J. Nonlinear Convex Anal. 7(2), 289-297 (2006) 7. Aydi, H: Some coupled fixed point results on partial metric spaces. Int. J. Math. Stat. Sci. 2011, Article ID 647091 (2011) 8. Shatanawi, W, Samet, B, Abbas, M: Coupled fixed point theorems for mixed monotone mappings in ordered partial metric spaces. Math. Comput. Model. 55(3-4), 680-687 (2012) CrossRef 9. Fang, JX: On fixed point theorem in fuzzy metric spaces. Fuzzy Sets Syst. 46(1), 107-113 (1992) CrossRef 10. Gregori, V, Sapena, A: On fixed point theorem in fuzzy metric spaces. Fuzzy Sets Syst. 125(2), 245-252 (2002) CrossRef 11. Roldán, A, Martínez-Moreno, J, Roldán, C: Tripled fixed point theorem in fuzzy metric spaces and applications. Fixed Point Theory Appl. 2013, Article ID 29 (2013) CrossRef 12. Alaca, C, Turkoglu, D, Yildiz, C: Fixed points in intuitionistic fuzzy metric spaces. Chaos Solitons Fractals 29, 1073-1078 (2006) CrossRef 13. Cho, YJ, Roldán, A, Martínez-Moreno, J, Roldán, C: Coupled coincidence point theorems in (intuitionistic) fuzzy normed spaces. J. Inequal. Appl. 2013, Article ID 104 (2013) CrossRef 14. Had?i?, O, Pap, E: The Fixed Point Theory in Probabilistic Metric Spaces. Kluwer Academic, Dordrecht (2001) 15. Pap, E, Had?i?, O, Mesiar, R: A fixed point theorem in probabilistic metric spaces and an application. J. Math. Anal. Appl. 202, 433-449 (1996) CrossRef 16. Fang, JX: Fixed point theorems of local contraction mappings on Menger spaces. Appl. Math. Mech. 12, 363-372 (1991) CrossRef 17. Fang, JX: Common fixed point theorems of compatible and weakly compatible maps in Menger spaces. Nonlinear Anal. 71(5-6), 1833-1843 (2009) CrossRef 18. Guo, D, Lakshmikantham, V: Coupled fixed points of nonlinear operators with applications. Nonlinear Anal. 11, 623-632 (1987)
文摘
The main aim of this short-note is point out that certain hypotheses assumed on some results in the very recent paper (Yang in J. Inequal. Appl. 2014:275, 2014) are unnecessary, and the results contained in that manuscript can easily be improved.