ISSN : 1226-0657
We establish a common n-tupled fixed point theorem for hybrid pair of mappings under new contractive condition. It is to be noted that to find n-tupled coincidence point, we do not use the condition of continuity of any mapping involved. An example supporting to our result has also been cited. We improve, extend and generalize several known results.
T.G. Bhaskar & V. Lakshmikantham. (2006). Fixed point theorems in partially ordered metric spaces and applications. Nonlinear Anal., 65(7), 1379-1393. 10.1016/j.na.2005.10.017.
M. Imdad, A.H. Soliman, B.S. Choudhury & P. Das. (0000). On n-tupled coincidence point results in metric spaces. Hindawi Publishing Corporation Journal of Operators, 2013, 8.
S. Chandok, W. Sintunavarat & P. Kumam, Chandok et al.. (2013). Some coupled common fixed points for a pair of mappings in partially ordered G-metric spaces. Mathematical Sciences, 7, 24. 10.1186/2251-7456-7-24.
B. Deshpande. (2007). Common fixed point for set and single valued functions without continuity and compatibility. Mathematica Moravica, 11, 27-38.
B. Deshpande & A. Handa. (0000). Common n-tupled fixed point under generalized Mizoguchi-Takahashi contraction for hybrid pair of mappings. Southeast Asian Bull. Math., .
I. Kubiaczyk & B. Deshpande. (2006). A common fixed point theorem for multivalued mappings through T-weak commutativity. Mathematica Moravica, 10, 55-60.
I. Kubiaczyk & B. Deshpande. (2007). Common fixed point of multivalued mappings without continuity. Fasciculi Mathematici, 37(9), 19-26.
P. Kumam, J. Martinez-Moreno, A. Roldan & C. Roldan. (2014). Berinde-Borcut tripled fixed point theorem in partially ordered (intuitionistic) fuzzy normed spaces. Journal of Inequalities and Applications, 2014, 47. 10.1186/1029-242X-2014-47.
V. Lakshmikantham & L. Ciric. (2009). Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces. Nonlinear Analysis: Theory, Method and Applications, 70(12), 4341-4349. 10.1016/j.na.2008.09.020.
J.T. Markin. (1947). Continuous dependence of fixed point sets. Proc. Amer. Math. Soc., 38, 545-547.
H. Rahimi, S. Radenovic, G. Soleimani Rad & P. Kumam. (2014). Quadrupled fixed point results in abstract metric spaces. Comp.Appl. Math., 33, 671-685. 10.1007/s40314-013-0088-5.
S. Sharma & B. Deshpande. (2007). Fixed point theorems for set and single valued mappings without continuity and compatibility. Demonstratio Mathematica XL, (3), 649-658.