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Nashine, Hemant Kumar 1 ; Abbas, Mujahid 2
@article{JNSA_2013_6_3_a5, author = {Nashine, Hemant Kumar and Abbas, Mujahid}, title = {Common fixed point of mappings satisfying implicit contractive conditions in {TVS-valued} ordered cone metric spaces}, journal = {Journal of nonlinear sciences and its applications}, pages = {205-215}, publisher = {mathdoc}, volume = {6}, number = {3}, year = {2013}, doi = {10.22436/jnsa.006.03.06}, language = {en}, url = {http://geodesic.mathdoc.fr/articles/10.22436/jnsa.006.03.06/} }
TY - JOUR AU - Nashine, Hemant Kumar AU - Abbas, Mujahid TI - Common fixed point of mappings satisfying implicit contractive conditions in TVS-valued ordered cone metric spaces JO - Journal of nonlinear sciences and its applications PY - 2013 SP - 205 EP - 215 VL - 6 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.22436/jnsa.006.03.06/ DO - 10.22436/jnsa.006.03.06 LA - en ID - JNSA_2013_6_3_a5 ER -
%0 Journal Article %A Nashine, Hemant Kumar %A Abbas, Mujahid %T Common fixed point of mappings satisfying implicit contractive conditions in TVS-valued ordered cone metric spaces %J Journal of nonlinear sciences and its applications %D 2013 %P 205-215 %V 6 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.22436/jnsa.006.03.06/ %R 10.22436/jnsa.006.03.06 %G en %F JNSA_2013_6_3_a5
Nashine, Hemant Kumar; Abbas, Mujahid. Common fixed point of mappings satisfying implicit contractive conditions in TVS-valued ordered cone metric spaces. Journal of nonlinear sciences and its applications, Tome 6 (2013) no. 3, p. 205-215. doi : 10.22436/jnsa.006.03.06. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.006.03.06/
[1] Common fixed point results for noncommuting mappings without continuity in cone metric spaces, J. Math. Anal. Appl. , Volume 341 (2008), pp. 416-420
[2] Common fixed point theorems for four mappings in TVS-valued cone metric spaces, J. Math. Inequalities, Volume 5:2 (2011), pp. 287-299
[3] Common fixed point of four maps in partially ordered metric spaces, Appl. Math. Lett. , doi:10.1016/j.aml.2011.03.038. , 2011
[4] Fixed and periodic point results in cone metric spaces, Appl. Math. Lett. , Volume 22 (2009), pp. 511-515
[5] Contraction, approximate contraction with an application to multi-point boundary value problems, J. Comput. Appl. Appl. Math., Volume 9 (1983), pp. 315-325
[6] Generalized contractions in partially ordered metric spaces, Applicable Anal., Volume 87 (2008), pp. 109-116
[7] Some fixed point theorems on ordered metric spaces and application, Fixed Point Theory Appl., Volume 2010 (2010), pp. 1-17
[8] Some fixed point results in ordered partial metric spaces, J. Nonlinear Sci. Appl., Volume 4:3 (2011), pp. 210-217
[9] Fixed point for set-valued mappings satisfying an implicit relation in partially ordered metric spaces, Nonlinear Analysis, Volume 71 (2009), pp. 3699-3704
[10] On coupled generalised Banach and Kannan type contractions, J. Nonlinear Sci. Appl., Volume 5 (2012), pp. 259-270
[11] Monotone generalized nonlinear contractions in partially ordered metric spaces, Fixed Point Theory and Appl. , Volume 2008 (2008), pp. 1-11
[12] Fixed point results under c-distance in tvs-cone metric spaces, Fixed Point Theory Appl., Volume 2011 (2011), pp. 1-29
[13] A note on cone metric fixed point theory and its equivalence, Nonlinear Anal., Volume 72 (2010), pp. 2259-2261
[14] Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl. , Volume 332 (2007), pp. 1468-1476
[15] Common fixed points for maps on cone metric space, J. Math. Anal. Appl., Volume 341 (2008), pp. 876-882
[16] Compatible and weakly compatible mappings in cone metric spaces, Math. Comput. Modelling, doi:10.1016/j.mcm.2010.06.043. , 2010
[17] Assad-Kirk-Type Fixed Point Theorems for a Pair of Nonself Mappings on Cone Metric Spaces , Fixed Point Theory Appl. Article ID 761086, doi:10.1155/2009/761086., Volume 2009 (2009), pp. 1-16
[18] Some results on fixed points, Bull. Calcutta Math. Soc., Volume 60 (1968), pp. 71-76
[19] Fixed point principle in generalized metric space, Izvestija AN Tadzh. SSR, fiz.-mat. igeol.-chem. nauki. (in Russian)., Volume 10:4 (1969), pp. 8-19
[20] Coupled common fixed point results in ordered G-metric spaces, J. Nonlinear Sci. Appl., Volume 1 (2012), pp. 1-13
[21] Fixed point theorems for generalized weakly contractive condition in ordered metric spaces, Fixed Point Theory Appl., Volume 2011 (2011), pp. 1-20
[22] A common fixed point theorem on ordered metric spaces, Bull. Iranian Math. Soc. (2011)
[23] Fixed point results for mappings satisfying ( \(\psi,\varphi\))-weakly contractive condition in partially ordered metric spaces , Nonlinear Anal. , Volume 74 (2011), pp. 2201-2209
[24] Monotone generalized nonlinear contractions and fixed point theorems in ordered metric spaces, Math. Comput. Modelling, Volume 54 (2011), pp. 712-720
[25] Coupled coincidence points for compatible mappings satisfying mixed monotone property, J. Nonlinear Sci. Appl. , Volume 5 (2012), pp. 104-114
[26] Coupled common fixed point theorems for pair of commuting mappings in partially ordered complete metric spaces, Comput. Math. Appl. , Volume 62 (2011), pp. 1984-1993
[27] Contractive mapping theorems in partially ordered sets and applications to ordianry differential equations, Order , Volume 22 (2005), pp. 223-239
[28] Some generalizations of fixed point theorems in cone metric spaces, Fixed Point Theory Appl., Volume 2009 (2009), pp. 1-10
[29] The Cauchy problem for systems of ordinary differential equations, in: Approximate Methods of Solving Differential Equations, Kiev, Naukova Dumka, (in Russian) (1964), pp. 115-134
[30] An approach to studying boundary value problems, Izvestija AN SSSR, Ser. Math. (in Russian). , Volume 30:2 (1966), pp. 249-264
[31] A fixed point thm in partially ordered sets and some applications to matrix equations, Proc. Amer. Math. Soc., Volume 132 (2004), pp. 1435-1443
[32] Fixed point theorems for generalized contractions in ordered metric spaces, J. Math. Anal. Appl., Volume 341:2 (2008), pp. 241-1252
[33] Some notes on the paper: cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl., Volume 345 (2008), pp. 719-724
[34] Coupled fixed point theorems for a generalized Meir-Keeler contraction in partially ordered metric spaces, Nonlinear Anal., Volume 72 (2010), pp. 4508-4517
[35] Common fixed point theorems involving two pairs of weakly compatible mappings in K-metric spaces, Applied Mathematics Letters, Volume 24 (2011), pp. 1245-1250
[36] Partially ordered cone metric spaces and coupled fixed point results, Computers Math. Appl., Volume 60 (2010), pp. 2508-2515
[37] Some fixed point theorems in ordered G-metric spaces and applications, Abstract and Applied Analysis, Volume 2011 (2011), pp. 1-11
[38] Some coincidence point results in cone metric spaces, Math. Comput. Mod., Volume 55 (2012), pp. 2023-2028
[39] On w-compatible mappings and common coupled coincidence point in cone metric spaces , Applied Mathematics Letters, Volume 25 (2012), pp. 925-931
[40] A generalization of Banach's contraction principle for nonlinear contraction in a partial metric space, J. Nonlinear Sci. Appl., Volume 3 (2012), pp. 139-144
[41] Newton's method for convex opertaors in partially ordered spaces, SIAM J. Numer. Anal., Volume 4 (1967), pp. 406-432
[42] K-normed linear spaces, K-metric, Survey Collect. Math., Volume 48:4-6 (1997), pp. 825-859
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