Common Fixed Point Theorems for Weakly Compatible Mappings in Complex Valued Metric Space
Abstract
In this paper, using the (CLR) and (E:A) properties of the in-volved pairs, common xed point results for four and six weakly compatible self-mappings are established in complex valued metric spaces. Our results include some known results as special cases.
References
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[10] M. Ozturk. Common fixed point theorems satisfying contractive type conditions in complex valued metric spaces. Abstract and Applied Analysis, Vol 2014, Article ID 598465, 7 pages.
[11] M. Sarwar and M. B. Zada. Common fixed point theorems for six self-maps satisfying common (E:A) and common (CLR) properties in complex valued metric space. Elec. J. Math.
Anal. Appl., 3(1)(2015), 215-231.
[12] Y. R. Sharma. Common fixed point theorem in complex valued metric spaces. International Journal of Innovative Research in Science, Engineering and Technology, 2(12)(2013), 8282-8286.
[13] W. Sintunavarat and P. Kumam. Common fixed point theorem for a pair of weakly compatible mappings in fuzzy metric space. J. Appl. Math., Vol. 2011, Article ID 637958, 14
pages.
[14] W. Sintunavarat and P. Kumam. Generalized common fixed point theorems in complex valued metric spaces and applications. J. Inequal. Appl., 2012, 2012:84.
[15] R. Tiwari and D. P. Shukla. Six maps with a common fixed point in complex valued metric spaces. Inter. J. Math. Sci. Appl., 2(2)(2012), 827-832.
[16] R. K. Verma and H. K. Pathak. Common fixed point theorems using property (E:A) in complex-valued metric spaces. Thai J. Math., 11(2)(2012), 347-355.
[2] A. Azam, B. Fisher and M. Khan. Common fixed point theorems in complex valued metric spaces,Numer. Funct. Anal. Optim., 32(3)(2011), 243-253.
[3] S. Banach. Sur les oprations dans les ensembles abstraits et leurs applications aux equations integrales. Fund. Math., 3(1)(1922), 133-181.
[4] S. Bhatt, S. Chaukiyal and R.C. Dimri. A common fixed point theorem for weakly compatible maps in complex-valued metric spaces. Int. J. Math. Sci. Appl. 1(3)(2011), 1385-1389.
[5] M.Imdad, B.D.Pant and S.Chauhan. Fixed point theorems in Menger spaces using the (CLRST ) property and applications, J. Nonlinear Anal. Optim. Theory Appl. , 3(2)(2012), 225-237.
[6] G. Jungck. Common fixed points for non-continuous non-self mappings on a non-numeric spaces. Far East J Math Sci, 4(2)(1996), 199-212.
[7] J. Kumar. Common fixed point theorems of weakly compatible maps satisfying (E:A:) and (CLR) property. Inter. J. Pure Apll.Math., 88(3)(2013), 363-376.
[8] S. Kumar, M. Kumar, P. Kumar and S. M. Kang. Common fixed point theorems for weakly compatible mappings in complex valued metric spaces. Inter. J. Pure Appl. Math.,
92(3)92014), 403-419.
[9] W. Liu, J. Wu and Z. Li. Common fixed points of single-valued and multi-valued maps. Int.J. Math. Math. Sc. 19(2005), 3045-3055.
[10] M. Ozturk. Common fixed point theorems satisfying contractive type conditions in complex valued metric spaces. Abstract and Applied Analysis, Vol 2014, Article ID 598465, 7 pages.
[11] M. Sarwar and M. B. Zada. Common fixed point theorems for six self-maps satisfying common (E:A) and common (CLR) properties in complex valued metric space. Elec. J. Math.
Anal. Appl., 3(1)(2015), 215-231.
[12] Y. R. Sharma. Common fixed point theorem in complex valued metric spaces. International Journal of Innovative Research in Science, Engineering and Technology, 2(12)(2013), 8282-8286.
[13] W. Sintunavarat and P. Kumam. Common fixed point theorem for a pair of weakly compatible mappings in fuzzy metric space. J. Appl. Math., Vol. 2011, Article ID 637958, 14
pages.
[14] W. Sintunavarat and P. Kumam. Generalized common fixed point theorems in complex valued metric spaces and applications. J. Inequal. Appl., 2012, 2012:84.
[15] R. Tiwari and D. P. Shukla. Six maps with a common fixed point in complex valued metric spaces. Inter. J. Math. Sci. Appl., 2(2)(2012), 827-832.
[16] R. K. Verma and H. K. Pathak. Common fixed point theorems using property (E:A) in complex-valued metric spaces. Thai J. Math., 11(2)(2012), 347-355.
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2016-12-30
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