Coupled fixed point theorems for (α, φ) g -contractive type mappings in partially ordered G-metric spaces
Open Mathematics (2015)
- Volume: 13, Issue: 1, page 130-141
- ISSN: 2391-5455
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topJianhua Chen, and Xianjiu Huang. " Coupled fixed point theorems for (α, φ) g -contractive type mappings in partially ordered G-metric spaces ." Open Mathematics 13.1 (2015): 130-141. <http://eudml.org/doc/275881>.
@article{JianhuaChen2015,
abstract = {In this paper, we introduce a new concept of (α, φ)g-contractive type mappings and establish coupled coincidence and coupled common fixed point theorems for such mappings in partially ordered G-metric spaces. The results on fixed point theorems are generalizations of some existing results.We also give some examples to illustrate the usability of the obtained results.},
author = {Jianhua Chen, Xianjiu Huang},
journal = {Open Mathematics},
keywords = {Partially ordered set; Coincidence point; Coupled fixed point; (α, φ)g-contractive type mappings; G-metric space; partially ordered set; couple coincidence point; coupled fixed point; compatible mappings; -metric space},
language = {eng},
number = {1},
pages = {130-141},
title = { Coupled fixed point theorems for (α, φ) g -contractive type mappings in partially ordered G-metric spaces },
url = {http://eudml.org/doc/275881},
volume = {13},
year = {2015},
}
TY - JOUR
AU - Jianhua Chen
AU - Xianjiu Huang
TI - Coupled fixed point theorems for (α, φ) g -contractive type mappings in partially ordered G-metric spaces
JO - Open Mathematics
PY - 2015
VL - 13
IS - 1
SP - 130
EP - 141
AB - In this paper, we introduce a new concept of (α, φ)g-contractive type mappings and establish coupled coincidence and coupled common fixed point theorems for such mappings in partially ordered G-metric spaces. The results on fixed point theorems are generalizations of some existing results.We also give some examples to illustrate the usability of the obtained results.
LA - eng
KW - Partially ordered set; Coincidence point; Coupled fixed point; (α, φ)g-contractive type mappings; G-metric space; partially ordered set; couple coincidence point; coupled fixed point; compatible mappings; -metric space
UR - http://eudml.org/doc/275881
ER -
References
top- [1] Mustafa Z., Sims B., A new approach to generalized metric spaces, J. Nonlinear Convex Anal., 2006, 7(2), 289-297 Zbl1111.54025
- [2] Agarwal R.P., El-Gebeily M.A., O’Regan D., Generalized contractions in partially ordered metric spaces, Appl. Anal., 2008, 87, 109-116 Zbl1140.47042
- [3] Bhaskar T.G., Lakshmikantham V., Fixed point theorems in partially ordered metric spaces and applications. Nonlinear Anal., 2006, 65, 1379-1393 Zbl1106.47047
- [4] Choudhury B.S., Kundu A., A coupled coincidence point result in partially ordered metric spaces for compatible mappings, Nonlinear Anal., 2010, 73, 2524-2531 [WoS] Zbl1229.54051
- [5] Choudhury B.S., Maity P., Coupled fixed point results in generalized metric spaces, Math. Comput. Modelling, 2011, 54(1-2), 73-79 [WoS] Zbl1225.54016
- [6] C´ iric´ L.j., Cakic´ N., Rajovic´ M., Ume J.S., Monotone generalized nonlinear contractions in partially ordered metric spaces, Fixed Point Theory Appl., 2008 (2008) 11 pages. Article ID 131294. Zbl1158.54019
- [7] C´ iric´ L.j., Mihet D., Saadati R., Monotone generalized contractions in partially ordered probabilistic metric spaces, Topology Appl., 2009, 156(17), 2838-2844 [WoS] Zbl1206.54039
- [8] Lakshmikantham V., C´ iric´ L.j., Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces, Nonlinear Anal., 2009, 70, 4341-4349 Zbl1176.54032
- [9] Nashine H.K., Samet B., Fixed point results for mappings satisfying . (Ψ,φ)-weakly contractive condition in partially ordered metric spaces, Nonlinear Anal., 2011, 74, 2201-2209 [WoS] Zbl1208.41014
- [10] Samet B., Coupled fixed point theorems for a generalized Meir-Keeler contraction in partially ordered metric spaces, Nonlinear Anal., 2010, 72, 4508-4517 [WoS] Zbl1264.54068
- [11] Jain M., Tas K., Rhoades B.E., Gupta N., Coupled fixed point theorems for generalized symmetric contractions in partially ordered metric spaces and applications, J. Comput. Appl. Anal., 2014, 16(3), 438-454 Zbl1291.54059
- [12] Shatanawi W., Partially ordered cone metric spaces and coupled fixed point results, Comput. Math. Appl., 2010, 60, 2508-2515 [WoS] Zbl1205.54044
- [13] Abbas M., Khan M.A., Radenovi´c S., Common coupled fixed point theorem in cone metric space for w*-compatible mappings, Appl. Math. Comput., 2010, 217, 195-202 [WoS] Zbl1197.54049
- [14] Mohiuddine S.A., Alotaibi A., Coupled coincidence point theorems for compatible mappings in partially ordered intuitionistic generalized fuzzy metric spaces, Fixed Point Theory Appl., 2013, 265 (2013) [Crossref][WoS] Zbl06334841
- [15] Aydi H., Damjanovi´c B., Samet B., Shatanawi W., Coupled fixed point theorems for nonlinear contractions in partially ordered G-metric spaces, Math. Comput. Modelling, 2011, 54, 2443-2450 [WoS] Zbl1237.54043
- [16] Luong N.V„ Thuan N.X., Coupled fixed point theorems in partially ordered G-metric spaces, Math. Comput. Modelling, 2012, 55, 1601-1609 [WoS] Zbl1341.54033
- [17] Chugh R., Kadian T., Rani A., Rhoades B.E., Property P in G-metric spaces, Fixed Point Theory Appl., 2010 (2010) 12. Article ID 401684 [Crossref] Zbl1203.54037
- [18] Shatanawi W., Fixed point theory for contractive mappings satisfying φ-maps in G-metric spaces, Fixed Point Theory Appl., 2010 (2010) 9. Article ID 181650 [WoS][Crossref] Zbl1204.54039
- [19] Mustafa Z., Obiedat H., Awawdeh F., Some fixed point theorem for mapping on complete G-metric spaces, Fixed Point Theory Appl., 2008 (2008) 12. Article ID 189870 [Crossref][WoS] Zbl1148.54336
- [20] Mustafa Z., Shatanawi W., Bataineh M., Existence of fixed point results in G-metric spaces, Int. J. Math. Math. Sci., 2009 (2009) 10. Article ID 283028 Zbl1179.54066
- [21] Mustafa Z., Sims B., Fixed point theorems for contractive mappings in complete G-metric spaces, Fixed Point Theory Appl., 2009 (2009) 10. Article ID 917175 [Crossref] Zbl1179.54067
- [22] Nashine H.K., Coupled common fixed point results in ordered G-metric spaces, J. Nonlinear Sci. Appl., 2012, 1, 1-13 Zbl1295.54069
- [23] Karapinar E., Kumam P., Merhan I., Coupled fixed point theorems on partially ordered G-metric spaces, Fixed Point Theory Appl., 2012, 174 (2012) [Crossref]
- [24] Samet B., Vetro C., Vetro P., Fixed point theorems for α-Ψ-contractive type mappings, Nonlinear Anal., 2012, 75, 2154-2165 Zbl1242.54027
- [25] Mursaleen M., Mohiuddine S.A., Agarwal R.P., Coupled fixed point theorems for α-Ψ-contractive type mappings in partially ordered metric spaces, Fixed Point Theory Appl., 2012, 228 (2012) [Crossref] Zbl1293.54031
- [26] Ali M.U., Kamram T., karapinar E., Fixed point of α-Ψ-mappings in uniform spaces, Fixed Point Theory Appl., 2014, 150 (2014) [Crossref]
- [27] Chen J.H., Huang X.J., Coupled fixed point theorems for compatible mappings in partially ordered G-metric spaces, J. Nonlinear Sci. Appl., 2015, 8(2), 130-141 Zbl06430293
- [28] Chen J.H., Huang X.J., Quadruple fixed point theorems under (Ψ,φ)-contractive conditions in partially ordered G-metric spaces with mixed g-monotone property, J. Nonlinear Sci. Appl., 2015, 8(4), 285-300 Zbl06430305
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