과제정보
The referees have reviewed the paper very carefully. The authors express their deep thanks for the comments.
참고문헌
- M. Abbas, T. Nazir, T. A. Lampert & S. Radenovi'c: Common fixed points of set-valued F-contraction mappings on domain of sets endowed with directed graph. Comp. Appl. Math. 36 (2017), 1607-1622. https://doi.org/10.1007/s40314-016-0314-z
- T. Abdeljawad, E. Karapnar & K. Tas: Existence and uniqueness of a common fixed point on partial metric spaces. Appl. Math. Lett. 24 (2011), no. 11, 1900-1904. https://doi.org/10.1016/j.aml.2011.05.014
- A. Alam & M. Imdad: Nonlinear contractions in metric spaces under locally T-transitive binary relations. Fixed Point Theory 19 (2018), no. 1, 13-24. https://doi.org/10.24193/fpt-ro.2018.1.02
- S.M.A. Aleomraninejad, Sh. Rezapour & N. Shahzad: Some fixed point results on a metric space with a graph. Topology Appl. 159 (2012), no. 3, 659-663. https://doi.org/10.1016/j.topol.2011.10.013
- I. Altun, F. Sola & H. Simsek: Generalized contractions on partial metric spaces. Topol. Appl. 157 (2010), no. 18, 2778-2785. https://doi.org/10.1016/j.topol.2010.08.017
- A. Amini-Harandi & H. Emami: A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations. Nonlinear Anal. 72 (2010), no. 5, 2238-2242. https://doi.org/10.1016/j.na.2009.10.023
- S. Banach: Sur les operations dans les ensembles abstraits et leur application aux equations intgrales. Fund. Math. 3 (1922), 133-181. http://eudml.org/doc/213289
- D.W. Boyd & J.S.W. Wong: On nonlinear contractions. Proc. Amer. Math. Soc. 20 (1969), 458-464. https://doi.org/10.1090/S0002-9939-1969-0239559-9
- R.C. Dimri & G. Prasad: Coincidence theorems for comparable generalized non-linear contractions in ordered partial metric spaces. Commun. Korean Math. Soc. 32 (2017), no. 2, 375-387. https://doi.org/10.4134/CKMS.c160127
- P.N. Dutta & B.S. Choudhury: A generalisation of contraction principle in metric spaces. Fixed Point Theory Appl. 2008, Article ID 406368, (2008). doi:10.1155/2008/406368
- M. Geraghty: On contractive mappings. Proc. Am. Math. Soc. 40 (1973), 604-608. https://doi.org/10.1090/S0002-9939-1973-0334176-5
- J. Jachymski: The contraction principle for mappings on a metric space with a graph. Proc. Am. Math. Soc. 136 (2008), no. 4, 1359-1373. https://doi.org/10.1090/S0002-9939-07-09110-1
- N. Hussain, M. Arshad, A. Shoaib & Fahimuddin: Common fixed point results for α-ψ-contractions on a metric space endowed with graph. J. Inequal. Appl. 2014 (2014), no. 136, 14 pp. https://doi.org/10.1186/1029-242X-2014-136
- S.G. Matthews: Partial metric topology. Ann. N.Y. Acad. Sci. 728 (1994), no. 1, 183-197. https://doi.org/10.1111/j.1749-6632.1994.tb44144.x
- G. Prasad & R.C. Dimri: Fixed point theorems via comparable mappings in ordered metric spaces. J. Anal. 27 (2019), no. 4, 1139-1150. https://doi.org/10.1007/s41478-019-00165-5
- J.J. Nieto & R. Rodriguez-L'opez: Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations. Order 22 (2005), 223-239. http://dx.doi.org/10.1007/s11083-005-9018-5
- G. Prasad: Fixed points of Kannan contractive mappings in relational metric spaces. J. Anal. (2020). https://doi.org/10.1007/s41478-020-00273-7
- G. Prasad: Fixed point theorems via w-distance in relational metric spaces with an application. Filomat 34 (2020), no. 6, 1889-1898. https://doi.org/10.2298/FIL2006889P
- G. Prasad & H. I,sik: On solution of boundary value problems via weak contractions. J. Funct. Spaces 2022 (2022), Article Id 6799205. https://doi.org/10.1155/2022/6799205
- G. Prasad & D. Khantwal: Fixed points of JS-contractive mappings with applications. J. Anal. 31 (2023), no. 4, 2687-2701. https://doi.org/10.1007/s41478-023-00598-z
- S. Reich: Some fixed point problems. Atti della Accademia Nazionale dei Lincei 57 (1974), no. 3-4, 194-198. http://eudml.org/doc/293624
- B.E. Rhoades: Some theorems on weakly contractive maps. Nonlinear Anal. 47 (2001), no. 4, 2683-2693. https://doi.org/10.1016/S0362-546X(01)00388-1
- A.C.M. Ran & M.C.B. Reurings: A fixed point theorem in partially ordered sets and some applications to matrix equations. Proc. Amer. Math. Soc. 132 (2003), no. 5, 1435-1443. http://dx.doi.org/10.1090/S0002-9939-03-07220-4
- O. Tripak: Common fixed points of G-nonexpansive mappings on Banach spaces with a graph. Fixed Point Theory Appl. 2016 (2016), no. 87, 8pp. https://doi.org/10.1186/s13663-016-0578-4
- O. Valero: On Banach fixed point theorems for partial metric spaces. Appl. Gen. Topol. 6 (2005), no. 2, 229-240. https://doi.org/10.4995/agt.2005.1957