Fixed point and common fixed point theorems on ordered cone metric spaces

Huang, 2007, Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl., 332, 1468, 10.1016/j.jmaa.2005.03.087 Ilić, 2008, Common fixed points for maps on cone metric space, J. Math. Anal. Appl., 341, 876, 10.1016/j.jmaa.2007.10.065 Rezapour, 2008, Some notes on the paper “Cone metric spaces and fixed point theorems of contractive mappings”, J. Math. Anal. Appl., 345, 719, 10.1016/j.jmaa.2008.04.049 Abbas, 2008, Common fixed point results for noncommuting mappings without continuity in cone metric spaces, J. Math. Anal. Appl., 341, 416, 10.1016/j.jmaa.2007.09.070 Abbas, 2008, Fixed and periodic point results in cone metric spaces, Appl. Math. Lett., 22, 511, 10.1016/j.aml.2008.07.001 Altun, 2009, Some fixed point theorems on ordered cone metric spaces, Rend. Circ. Mat. Palermo, 58, 319, 10.1007/s12215-009-0026-y Arshad, 2009, Some common fixed point results on cone metric spaces, Fixed Point Theory Appl., 11 Azam, 2008, Common fixed points of two maps in cone metric spaces, Rend. Circ. Mat. Palermo, 57, 433, 10.1007/s12215-008-0032-5 Di Bari, 2008, φ-pairs and common fixed points in cone metric spaces, Rend. Circ. Mat. Palermo, 57, 279, 10.1007/s12215-008-0020-9 Haghi, 2009, Fixed points of multifunctions on regular cone metric spaces, Expo. Math. Ilić, 2009, Quasi-conraction on cone metric spaces, Appl. Math. Lett., 22, 728, 10.1016/j.aml.2008.08.011 Jungck, 2009, Common fixed point theorems for weakly compatible pairs on cone metric spaces, Fixed Point Theory Appl., 2009, 13, 10.1155/2009/643840 Klim, 2009, Dynamic processes and fixed points of set-valued nonlinear contractions in cone metric spaces, Nonlinear Anal., 71, 5170, 10.1016/j.na.2009.04.001 P. Raja, S.M. Vaezpour, Some extensions of Banach’s contraction principle in complete cone metric spaces, Fixed Point Theory Appl. 2008, 11. Article ID 768294 doi:10.1155/2008/768294 Rezapour, 2009, Fixed point of multifunctions on cone metric spaces, Numer. Funct. Anal. Opt., 30, 1 Vetro, 2007, Common fixed points in cone metric spaces, Rend. Circ. Mat. Palermo, 56, 464, 10.1007/BF03032097 Wardowski, 2009, Endpoints and fixed points of set-valued contractions in cone metric spaces, Nonlinear Anal., 71, 512, 10.1016/j.na.2008.10.089 Włodarczyk, 2009, Convergence theorems, best approximation and best proximity for set-valued dynamic systems of relatively quasi-asymptotic contractions in cone uniform spaces, Nonlinear Anal. Ran, 2004, A fixed point theorem in partially ordered sets and some application to matrix equations, Proc. Amer. Math. Soc., 132, 1435, 10.1090/S0002-9939-03-07220-4 Nieto, 2005, Contractive mapping theorems in partially ordered sets and applications to ordinary differential equation, Order, 22, 223, 10.1007/s11083-005-9018-5 Agarwal, 2008, Generalized contractions in partially ordered metric spaces, Appl. Anal., 87, 109, 10.1080/00036810701556151 Nieto, 2007, Existence and uniqueness of fixed point in partially ordered sets and applications to ordinary differential equations, Acta Math. Sin. (English Ser.), 23, 2205, 10.1007/s10114-005-0769-0 O’Regan, 2008, Fixed point theorems for generalized contractions in ordered metric spaces, J. Math. Anal. Appl., 341, 1241, 10.1016/j.jmaa.2007.11.026 Lakshmikantham, 2009, Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces, Nonlinear Anal., 70, 4341, 10.1016/j.na.2008.09.020 Wang, 2009, Approximating fixed points of a pair of contractive type mappings in generalized convex metric spaces, Appl. Math. Comput. L. Ćirić, A.N. Cakić, M. Rajović, J.S. Ume, Monotone generalized nonlinear contractions in partially ordered metric spaces, Fixed Point Theory Appl. 2008, 11. Article ID 131294 Deimling, 1985