Một số kết quả điểm cố định ba chung trong hai không gian méo bán phần

Matthews SG: Partial metric topology. Annals of the New York Academy of Sciences 728. In General Topology and Its Applications. New York Academy of Science, New York; 1994:183–197. Abdeljawad T, Karapinar E, Taş K: Existence and uniqueness of a common fixed point on partial metric spaces. Appl. Math. Lett. 2011, 24(11):1900–1904. 10.1016/j.aml.2011.05.014 Abdeljawad T, Karapinar E, Taş K: A generalized contraction principle with control functions on partial metric spaces. Comput. Math. Appl. 2012, 63(3):716–719. 10.1016/j.camwa.2011.11.035 Abdeljawad T: Fixed points and generalized weakly contractive mappings in partial metric spaces. Math. Comput. Model. 2011, 54(11–12):2923–2927. 10.1016/j.mcm.2011.07.013 Altun I, Acar Ö: Fixed point theorems for weak contractions in the sense of Berinde on partial metric spaces. Topol. Appl. 2012, 159: 2642–2648. 10.1016/j.topol.2012.04.004 Altun I, Erduran A: Fixed point theorems for monotone mappings on partial metric spaces. Fixed Point Theory Appl. 2011., 2011: Article ID 508730 10.1155/2011/508730 Altun I, Simsek H: Some fixed point theorems on dualistic partial metric spaces. J. Adv. Math. Stud. 2008, 1(1–2):1–8. Altun I, Sola F, Simsek H: Generalized contractions on partial metric spaces. Topol. Appl. 2010, 157(18):2778–2785. 10.1016/j.topol.2010.08.017 Altun I, Sadarangani K: Corrigendum to ‘Generalized contractions on partial metric spaces’ [Topology Appl. 157 (2010) 2778–2785]. Topol. Appl. 2011, 158(13):1738–1740. 10.1016/j.topol.2011.05.023 Amiri P, Rezapour S: Fixed point of multi-valued operators on partial metric spaces. Anal. Theory Appl. 2013, 29(2):158–168. 10.4208/ata.2013.v29.n2.7 Aydi H: Some fixed point results in ordered partial metric spaces. J. Nonlinear Sci. Appl. 2011, 4(2):1–12. Aydi H: Some coupled fixed point results on partial metric spaces. Int. J. Math. Sci. 2011., 2011: Article ID 647091 Aydi H: Fixed point theorems for generalized weakly contractive in ordered partial metric spaces. J. Nonlinear Anal. Optim., Theory Appl. 2011, 2(2):269–284. Aydi H, Karapinar E, Shatanawi W:Coupled fixed point results for (ψ,φ) -weakly contractive condition in ordered partial metric spaces. Comput. Math. Appl. 2011, 62: 4449–4460. 10.1016/j.camwa.2011.10.021 Bari CD, Milojević M, Radenović S, Vetro P: Common fixed points for self-mappings on partial metric spaces. Fixed Point Theory Appl. 2012., 2012: Article ID 140 10.1186/1687-1812-2012-140 Chakkrid K: Modified proof of Caristi’s fixed point theorem on partial metric spaces. J. Inequal. Appl. 2013., 2013: Article ID 210 10.1186/1029-242X-2013-210 Chen C, Zhu C: Fixed point theorems for weakly C -contractive mappings in partial metric spaces. Fixed Point Theory Appl. 2013., 2013: Article ID 107 10.1186/1687-1812-2013-107 Ćirić L, Samet B, Aydi H, Vetro C: Common fixed point results of generalized contractions on partial metric spaces and application. Appl. Math. Comput. 2011, 218: 2398–2406. 10.1016/j.amc.2011.07.005 Golubović Z, Kadelburg Z, Radenović S: Coupled coincidence points of mappings in ordered partial metric spaces. Abstr. Appl. Anal. 2012., 2012: Article ID 192581 10.1155/2012/192581 Karapinar E, Erhan I: Fixed point theorems for operators on partial metric spaces. Appl. Math. Lett. 2011, 24: 1894–1899. 10.1016/j.aml.2011.05.013 Nashine HK, Kadelburg Z, Radenović S: Common fixed point theorems for weakly isotone increasing mappings in ordered partial metric spaces. Math. Comput. Model. 2013, 57: 2355–2365. 10.1016/j.mcm.2011.12.019 Oltra S, Valero O: Banach’s fixed point theorem for partial metric spaces. Rend. Ist. Mat. Univ. Trieste 2004, 36(1–2):17–26. Romaguera S: A Kirk type characterization of completeness for partial metric spaces. Fixed Point Theory Appl. 2010., 2010: Article ID 493298 10.1155/2010/493298 Romaguera S: Fixed point theorems for generalized contractions on partial metric spaces. Topol. Appl. 2010, 159: 194–199. Samet B, Rajović M, Lazović R, Stoijković R: Common fixed point results for nonlinear contractions in ordered partial metric spaces. Fixed Point Theory Appl. 2011., 2011: Article ID 71 10.1186/1687-1812-2011-71 Shatanawi W, Nashine HK: A generalization of Banach’s contraction principle of nonlinear contraction in a partial metric spaces. J. Nonlinear Sci. Appl. 2012, 5: 37–43. Shatanawi W, Nashine HK, Tahat N: Generalization of some coupled fixed point results on partial metric spaces. Int. J. Math. Math. Sci. 2012., 2012: Article ID 686801 Shatanawi W, Samet B, Abbas M: Coupled fixed point theorems for mixed monotone mappings in ordered partial metric spaces. Math. Comput. Model. 2012, 55: 680–687. 10.1016/j.mcm.2011.08.042 Shatanawi W, Postolache M: Coincidence and fixed point results for generalized weak contractions in the sense of Berinde on partial metric spaces. Fixed Point Theory Appl. 2013., 2013: Article ID 54 10.1186/1687-1812-2013-54 Radenović S: Remarks on some coupled fixed point results in partial metric spaces. Nonlinear Funct. Anal. Appl. 2013, 18(1):39–50. Nashine HK, Kadelburg Z, Radenović S: Fixed point theorems via various cyclic contractive conditions in partial metric spaces. Publ. Inst. Math. (Beograd) (N.S.) 2013, 93(107):69–93. 10.2298/PIM1307069N Valero O: On Banach fixed point theorems for partial metric spaces. Appl. Gen. Topol. 2005, 6(2):229–240. 10.4995/agt.2005.1957 Haghi RH, Rezapour Sh, Shahzad N: Be careful on partial metric fixed point results. Topol. Appl. 2013, 160: 450–454. 10.1016/j.topol.2012.11.004 Karapinar E, Erhan İ, Öztürk A: Fixed point theorems on quasi-partial metric spaces. Math. Comput. Model. 2013, 57: 2442–2448. 10.1016/j.mcm.2012.06.036 Bhaskar TG, Lakshmikantham V: Fixed point theorems in partially ordered metric spaces and applications. Nonlinear Anal. 2006, 65: 1379–1393. 10.1016/j.na.2005.10.017 Lakshmikantham V, Ćirić L: Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces. Nonlinear Anal. 2009, 70: 4341–4349. 10.1016/j.na.2008.09.020 Abbas M, Khan MA, Radenović S: Common coupled fixed point theorem in cone metric space for w -compatible mappings. Appl. Math. Comput. 2010, 217: 195–202. 10.1016/j.amc.2010.05.042 Samet B, Vetro C: Coupled fixed point, f -invariant set and fixed point of N -order. Ann. Funct. Anal. 2010, 1(2):46–56. 10.15352/afa/1399900586 Berinde V, Borcut M: Tripled fixed point theorems for contractive type mappings in partially ordered metric spaces. Nonlinear Anal. 2011, 74(15):4889–4897. 10.1016/j.na.2011.03.032 Aydi H, Abbas M, Sintunavarat W, Kumam P: Tripled fixed point of W -compatible mappings in abstract metric spaces. Fixed Point Theory Appl. 2012., 2012: Article ID 134 10.1186/1687-1812-2012-134 Aydi H, Abbas M: Tripled coincidence and fixed point results in partial metric spaces. Appl. Gen. Topol. 2012, 13(2):193–206. Shatanawi W, Pitea A: Some coupled fixed point theorems in quasi-partial metric spaces. Fixed Point Theory Appl. 2013., 2013: Article ID 153 10.1186/1687-1812-2013-153 Abbas M, Khan AR, Nazir T: Coupled common fixed point results in two generalized metric spaces. Appl. Math. Comput. 2011, 217: 6328–6336. 10.1016/j.amc.2011.01.006 Aydi H, Karapinar E, Postolache M: Tripled coincidence point theorems for weak ϕ -contractions in partially ordered metric spaces. Fixed Point Theory Appl. 2012., 2012: Article ID 44 Abbas M, Nazir T, Radenović S: Common fixed point of generalized weakly contractive maps in partially ordered G -metric spaces. Appl. Math. Comput. 2012, 218(18):9383–9395. 10.1016/j.amc.2012.03.022 Aydi H, Postolache M, Shatanawi W: Coupled fixed point results for (ψ,ϕ) -weakly contractive mappings in ordered G -metric spaces. Comput. Math. Appl. 2012, 63(1):298–309. 10.1016/j.camwa.2011.11.022 Abbas M, Sintunavarat W, Kumam P: Coupled fixed point of generalized contractive mappings on partially ordered G -metric spaces. Fixed Point Theory Appl. 2012., 2012: Article ID 31 10.1186/1687-1812-2012-31 Aydi H, Damjanović B, Samet B, Shatanawi W: Coupled fixed point theorems for nonlinear contractions in partially ordered G -metric spaces. Math. Comput. Model. 2011, 54(9–10):2443–2450. 10.1016/j.mcm.2011.05.059 Berinde V: Generalized coupled fixed point theorems for mixed monotone mappings in partially ordered metric spaces. Nonlinear Anal. 2011, 74(18):7347–7355. 10.1016/j.na.2011.07.053 Berinde V: Coupled coincidence point theorems for mixed monotone nonlinear operators. Comput. Math. Appl. 2012, 64(6):1770–1777. 10.1016/j.camwa.2012.02.012 Berinde V: Coupled fixed point theorems for φ -contractive mixed monotone mappings in partially ordered metric spaces. Nonlinear Anal. 2012, 75(6):3218–3228. 10.1016/j.na.2011.12.021 Berinde V, Păcurar M: Coupled fixed point theorems for generalized symmetric Meir-Keeler contractions in ordered metric spaces. Fixed Point Theory Appl. 2012., 2012: Article ID 115 Chandok S, Mustafa Z, Postolache M: Coupled common fixed point theorems for mixed g -monotone mappings in partially ordered G -metric spaces. Sci. Bull. “Politeh.” Univ. Buchar., Ser. A, Appl. Math. Phys. 2013, 75(4):13–26. Cho YJ, Rhoades BE, Saadati R, Samet B, Shatanawi W: Nonlinear coupled fixed point theorems in ordered generalized metric spaces with integral type. Fixed Point Theory Appl. 2012., 2012: Article ID 8 10.1186/1687-1812-2012-8 Choudhury BS, Metiya N, Postolache M: A generalized weak contraction principle with applications to coupled coincidence point problems. Fixed Point Theory Appl. 2013., 2013: Article ID 152 10.1186/1687-1812-2013-152 Gu F, Wang L: Some coupled fixed-point theorems in two quasi-partial metric spaces. Fixed Point Theory Appl. 2014., 2014: Article ID 19 Gu F, Yin Y: A new common coupled fixed point theorem in generalized metric space and applications to integral equations. Fixed Point Theory Appl. 2013., 2013: Article ID 266 10.1186/1687-1812-2013-266 Gu F, Zhou S: Coupled common fixed point theorems for a pair of commuting mappings in partially ordered G -metric spaces. Fixed Point Theory Appl. 2013., 2013: Article ID 64 10.1186/1687-1812-2013-64 Karapinar E: Coupled fixed point theorems for nonlinear contractions in cone metric spaces. Comput. Math. Appl. 2010, 59: 3656–3668. 10.1016/j.camwa.2010.03.062 Olatinwo MO, Postolache M: Stability results for Jungck-type iterative processes in convex metric spaces. Appl. Math. Comput. 2012, 218(12):6727–6732. 10.1016/j.amc.2011.12.038 Qiu Z, Hong S: Coupled fixed points for multivalued mappings in fuzzy metric spaces. Fixed Point Theory Appl. 2013., 2013: Article ID 162 10.1186/1687-1812-2013-162 Samet B: Coupled fixed point theorems for a generalized Meir-Keeler contraction in partially ordered metric spaces. Nonlinear Anal. 2010, 72: 4508–4517. 10.1016/j.na.2010.02.026 Shatanawi W: On w -compatible mappings and common coupled coincidence point in cone metric spaces. Appl. Math. Lett. 2012, 25: 925–931. 10.1016/j.aml.2011.10.037 Shatanawi W, Abbas M, Nazir T: Common coupled coincidence and coupled fixed point results in two generalized metric spaces. Fixed Point Theory Appl. 2011., 2011: Article ID 80 10.1186/1687-1812-2011-80 Shatanawi W, Pitea A: Omega-distance and coupled fixed point in G -metrics spaces. Fixed Point Theory Appl. 2013., 2013: Article ID 208 Shatanawi W, Pitea A: Fixed and coupled fixed point theorems of omega-distance for nonlinear contraction. Fixed Point Theory Appl. 2013., 2013: Article ID 275 Shatanawi W, Postolache M: Common fixed point results for mappings under nonlinear contraction of cyclic form in ordered metric spaces. Fixed Point Theory Appl. 2013., 2013: Article ID 60 Shatanawi W, Postolache M: Common fixed point theorems for dominating and weak annihilator mappings in ordered metric spaces. Fixed Point Theory Appl. 2013., 2013: Article ID 271