Two theorems in general metric space with ð›’-distance
DOI:
https://doi.org/10.24297/jam.v12i12.4441Keywords:
Weak Contractions, Fixed Points, Coupled Coincidence Points, General Metric SpacesAbstract
In this paper, we prove two theorems about fixed point and coupled coincidence point in generalized -metric space via Ï-distance for a mapping satisfying a contraction condition.Downloads
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References
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[5] Agarwal R.P, Sintunavarat W., Kumam P., (2013), "Coupled Coincidence Point and Common Coupled Fixed Point Theorems Lacking The Mixed Monotone Property", Fixed Point Theory Appl. 2013, Article ID 22.
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[11] Gholizadeh L., Saadati R., Shatanawi W., Vaezpour S.M., (2011), "Contractive Mapping in Generalized Ordered Metric Spaces With Application in Integral Equations", Math. Probl. Eng. 2011, Article ID 380784, 14 pages.
[12] Kada O., Suzuki T., Takahashi W., (1996), "Non-Convex Minimization Theorems and Fixed Point Theorems in Complete Metric Spaces", Mathematica Japonica, Vol. 44, No. 2, pp. 381-391.
[13] Mustafa Z., Roshan J.R., Parvaneh V., (2013), "Coupled Coincidence Point Results for (𜓠)-Weakly Contractive Mappings in Partially Ordered -Metric Spaces", Fixed Point Theory Appl. ,206.
[14] Naidu, S.V.R., Rao, K.P.R., Rao, N.S., (2004), "on The Topology of D-Metric Spaces and Generation of D-Metric Spaces From Metric Spaces", Int. J. Math. Sci., No.51, PP. 2719-2740.
[15] Naidu, S.V.R., Rao, K.P.R., Rao, N.S., (2005), "on The Concepts of Balls in D-Metric Space", International Journal of Mathematics and Mathematical Sciences, Vol. 1, pp. 133-141.
[16] Naidu, S.V.R., Rao, K.P.R., Rao, N.S., (2005), "on Convergent Sequences and Fixed Point Theorems in D-Metric Spaces", International Journal of Mathematics and Mathematical Sciences, Vol.12, pp. 1969-1988.
[17] Saadati R., Vaezpour S.M., Vetro P., Rhoades B.E., (2010), "Fixed Point Theorems in Generalized Partially Ordered -Metric Spaces", Math. Comput. Modelling. 52,797-801.
[18] Sabetghadam F., Masiha H.P., Sanatpour A.H., ( 2009), "Some Coupled Fixed Point Theorems in Cone Metric Spaces", Fixed point Theory and Applications, Vol. 2009, Article ID 125426, 8 pages.
[19] Shatanawi W., Pitea A., (2013), " Fixed and Coupled Fixed Point Theorems of Omega-Distance for Nonlinear Contraction", Fixed Point Theory Appl., 2013, 16 pages.
[20] Shatanawi W., Pitea A., (2013), "Omega-Distance and Coupled Fixed Point in G-Metric Spaces", Fixed Point Theory Appl., 2013, 15 pages.
[2] Abed S.S., Jabbar H.A., (2016), "Coupled Points for Total Weakly Contraction Mappings Via -m Space", inter. J. of advan. Scie. and tech. resear., Issur 6, vol.3, pages 64-79.
[3] Abed S.S., Jabbar H.A., (2016), "Coupled Points for Total Weakly Contraction Mappings Via -distance", Inter. J. of Basic and Applied Sciences, Vol. 5, No. 3.
[4] Aghajani A., Abbas M., Roshan J.R., (2014)," Common Fixed Point of Generalized Weak Contractive Mappings in Partially Ordered -Metric Spaces", Math. Slovaca, in press,Vo.64, pp. 941-960.
[5] Agarwal R.P, Sintunavarat W., Kumam P., (2013), "Coupled Coincidence Point and Common Coupled Fixed Point Theorems Lacking The Mixed Monotone Property", Fixed Point Theory Appl. 2013, Article ID 22.
[6] Aydi H., Postolache M., Shatanawi W., (2012), "Coupled Fixed Point Results For (𜓠)-Weakly Contractive Mappings in Ordered -Metric Spaces", Comput. Math. Appl. 63, 298-309.
[7] Berinde V., (2012), "Coupled Fixed Point Theorems for Contractive Mixed Monotone Mappings in Partially Ordered Metric Spaces", Nonlinear Anal. 75, 3218-3228.
[8] Branciari A., (2000), "A Fixed Point Theorem of Banach-Caccioppoli Type on a Class of Generalized Metric Spaces", publ. Math. Debrcen , 57:1-2, 31-37.
[9] Czerwik S., (1993), "Contraction Mappings in -Metric Spaces", Acta Math. Inform. Univ. Ostrav. 1,5-11.
[10] Dhage, B.C., (1992), "Generalized Metric Spaces and Mappings With Fixed Points", Bull.Cal.Math.Soc., Vol. 84, pp.(329-336).
[11] Gholizadeh L., Saadati R., Shatanawi W., Vaezpour S.M., (2011), "Contractive Mapping in Generalized Ordered Metric Spaces With Application in Integral Equations", Math. Probl. Eng. 2011, Article ID 380784, 14 pages.
[12] Kada O., Suzuki T., Takahashi W., (1996), "Non-Convex Minimization Theorems and Fixed Point Theorems in Complete Metric Spaces", Mathematica Japonica, Vol. 44, No. 2, pp. 381-391.
[13] Mustafa Z., Roshan J.R., Parvaneh V., (2013), "Coupled Coincidence Point Results for (𜓠)-Weakly Contractive Mappings in Partially Ordered -Metric Spaces", Fixed Point Theory Appl. ,206.
[14] Naidu, S.V.R., Rao, K.P.R., Rao, N.S., (2004), "on The Topology of D-Metric Spaces and Generation of D-Metric Spaces From Metric Spaces", Int. J. Math. Sci., No.51, PP. 2719-2740.
[15] Naidu, S.V.R., Rao, K.P.R., Rao, N.S., (2005), "on The Concepts of Balls in D-Metric Space", International Journal of Mathematics and Mathematical Sciences, Vol. 1, pp. 133-141.
[16] Naidu, S.V.R., Rao, K.P.R., Rao, N.S., (2005), "on Convergent Sequences and Fixed Point Theorems in D-Metric Spaces", International Journal of Mathematics and Mathematical Sciences, Vol.12, pp. 1969-1988.
[17] Saadati R., Vaezpour S.M., Vetro P., Rhoades B.E., (2010), "Fixed Point Theorems in Generalized Partially Ordered -Metric Spaces", Math. Comput. Modelling. 52,797-801.
[18] Sabetghadam F., Masiha H.P., Sanatpour A.H., ( 2009), "Some Coupled Fixed Point Theorems in Cone Metric Spaces", Fixed point Theory and Applications, Vol. 2009, Article ID 125426, 8 pages.
[19] Shatanawi W., Pitea A., (2013), " Fixed and Coupled Fixed Point Theorems of Omega-Distance for Nonlinear Contraction", Fixed Point Theory Appl., 2013, 16 pages.
[20] Shatanawi W., Pitea A., (2013), "Omega-Distance and Coupled Fixed Point in G-Metric Spaces", Fixed Point Theory Appl., 2013, 15 pages.
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Published
2017-01-28
How to Cite
Abed, S. S., & Jabbar, H. A. (2017). Two theorems in general metric space with ð›’-distance. JOURNAL OF ADVANCES IN MATHEMATICS, 12(12), 6852–6862. https://doi.org/10.24297/jam.v12i12.4441
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