참고문헌
- M. Abbas, L. Ciric, B. Damjanovic & M. A. Khan: Coupled coincidence point and common fixed point theorems for hybrid pair of mappings. Fixed Point Theory Appl. 2012, 4.
- M.A. Ahmed & H.A. Nafadi: Common fixed point theorems for hybrid pairs of maps in fuzzy metric spaces. J. Egyptian Math. Soc. 2013, Article in press.
- A. Alotaibi & S.M. Alsulami: Coupled coincidence points for monotone operators in partially ordered metric spaces. Fixed Point Theory Appl. 2011, 44.
- S.M. Alsulami: Some coupled coincidence point theorems for a mixed monotone operator in a complete metric space endowed with a partial order by using altering distance functions. Fixed Point Theory Appl. 2013, 194.
- T.G. Bhaskar & V. Lakshmikantham: Fixed point theorems in partially ordered metric spaces and applications. Nonlinear Anal. 65 (2006), no. 7, 1379-1393. https://doi.org/10.1016/j.na.2005.10.017
- S. Chauhan, W. Sintunavarat & P. Kumam: Common Fixed point theorems for weakly compatible mappings in fuzzy metric spaces using (JCLR) property. Applied Mathematics 3 (2012), no. 9, 976-982. https://doi.org/10.4236/am.2012.39145
- B. Deshpande & A. Handa: Nonlinear mixed monotone-generalized contractions on partially ordered modified intuitionistic fuzzy metric spaces with application to integral equations. Afr. Mat. 26 (2015), no. 3-4, 317-343. https://doi.org/10.1007/s13370-013-0204-0
- B. Deshpande & A. Handa: Application of coupled fixed point technique in solving integral equations on modified intuitionistic fuzzy metric spaces, Adv. Fuzzy Syst. 2014, Article ID 348069.
- B. Deshpande & A. Handa: Common coupled fixed point theorems for hybrid pair of mappings satisfying an implicit relation with application. Afr. Mat. 27 (2016), no. 1-2, 149-167. https://doi.org/10.1007/s13370-015-0326-7
-
B. Deshpande & A. Handa: Common coupled fixed point theorems for two hybrid pairs of mappings under
${\varphi}-{\psi}$ contraction. ISRN 2014, Article ID 608725. - B. Deshpande & A. Handa: Common coupled fixed point for hybrid pair of mappings under generalized nonlinear contraction. East Asian Math. J. 31 (2015), no. 1, 77-89. https://doi.org/10.7858/eamj.2015.008
- B. Deshpande & A. Handa: Common coupled fixed point theorems for hybrid pair of mappings under some weaker conditions satisfying an implicit relation. Nonlinear Analysis Forum 20 (2015), 79-93.
- B. Deshpande & A. Handa: Common coupled fixed point theorems for two hybrid pairs of mappings satisfying an implicit relation. Sarajevo J. Math. 11 (2015), no. 23, 85-100. https://doi.org/10.5644/SJM.11.1.07
- B. Deshpande & A. Handa: Common coupled fixed point theorem under generalized Mizoguchi-Takahashi contraction for hybrid pair of mappings. J. Korean Soc. Math. Educ. Ser. B: Pure Appl. Math. 22 (2015), no. 3, 199-214.
- D. Guo & V. Lakshmikantham: Coupled fixed points of nonlinear operators with applications. Nonlinear Anal. 11 (1987), no. 5, 623-632. https://doi.org/10.1016/0362-546X(87)90077-0
- J. Harjani, B. Lopez & K. Sadarangani: Fixed point theorems for mixed monotone operators and applications to integral equations. Nonlinear Anal. 74 (2011), 1749-1760. https://doi.org/10.1016/j.na.2010.10.047
- J. Harjani & K. Sadarangani: Generalized contractions in partially ordered metric spaces and applications to ordinary differential equations. Nonlinear Anal. 72 (2010), no. 3-4, 1188-1197. https://doi.org/10.1016/j.na.2009.08.003
- M.A. Khan & Sumitra: CLRg property for coupled fixed point theorems in fuzzy metric spaces. Int. J. Appl. Phy. Math. 2 (2012), no. 5, 355-358.
- V. Lakshmikantham & L. Ciric: Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces. Nonlinear Anal. 70 (2009), no. 12, 4341-4349. https://doi.org/10.1016/j.na.2008.09.020
- W. Long, S. Shukla & S. Radenovic: Some coupled coincidence and common fixed point results for hybrid pair of mappings in 0-complete partial metric spaces. Fixed Point Theory Appl. 2013, 145.
- N.V. Luong & N.X. Thuan: Coupled fixed points in partially ordered metric spaces and application. Nonlinear Anal. 74 (2011), 983-992. https://doi.org/10.1016/j.na.2010.09.055
- J.T. Markin: Continuous dependence of fixed point sets. Proc. Amer. Math. Soc. 38 (1947), 545-547. https://doi.org/10.1090/S0002-9939-1973-0313897-4
- S.B. Nadler: Multivalued contraction mappings. Pacific J. Math. 30 (1969), 475-488. https://doi.org/10.2140/pjm.1969.30.475
- J.J. Nieto & R. Rodriguez-Lopez: Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations. Order 22 (2005), 223-239. https://doi.org/10.1007/s11083-005-9018-5
- A.C.M. & M.C.B. Reurings: A fixed point theorem in partially ordered sets and some applications to matrix equations. Proc. Amer. Math. Soc. 132 (2004), 1435-1443. https://doi.org/10.1090/S0002-9939-03-07220-4
-
A. Razani & V. Parvaneh: Coupled coincidence point results for (
${\psi}$ ,${\alpha}$ ,${\beta}$ )-weak contractions in partially ordered metric spaces. J. Appl. Math. 2012, Article ID 496103. - J. Rodriguez-Lopez & S. Romaguera: The Hausdorff fuzzy metric on compact sets. Fuzzy Sets Syst. 147 (2004), 273-283. https://doi.org/10.1016/j.fss.2003.09.007
- B. Samet, E. Karapinar, H. Aydi & V.C. Rajic: Discussion on some coupled fixed point theorems. Fixed Point Theory Appl. 2013, 50.
- F. Shaddad, M.S.M. Noorani, S.M. Alsulami & H. Akhadkulov: Coupled point results in partially ordered metric spaces without compatibility. Fixed Point Theory Appl. 2014, 204.
- N. Singh & R. Jain: Coupled coincidence and common fixed point theorems for set-valued and single-valued mappings in fuzzy metric space. Journal of Fuzzy Set Valued Analysis 2012, Article ID jfsva-00129.
- W. Sintunavarat & P. Kumam: Common fixed point theorems for a pair of weakly compatible mappings in fuzzy metric spaces. Journal of Applied Mathematics 2011, Article ID 637958.
- W. Sintunavarat, P. Kumam & Y J. Cho: Coupled fixed point theorems for nonlinear contractions without mixed monotone property. Fixed Point Theory Appl. 2012, 170.