Some common fixed point theorems using CLRg property in Complex valued metric spaces

Year 2014, Volume: 27 Issue: 2, 735 - 738, 27.06.2014

Saurabh Manro , Krishnapada Das

Abstract

The aim of this paper is to prove a common fixed point theorem for a pair of weakly compatible maps in a complex valued-metric space. As a consequence, a multitude of common fixed point theorems existing in the literature are sharpened and enriched.

Keywords

Weak compatible mappings, property (E.A), CLRg property and complex valued metric space

References

• [1] M. Aamri and D. El Moutawakil, Some new common fixed point theorems under strict contractive conditions. Journal of Mathematical Analysis and Applications, 270: 181–188 (2002).
• [2] A. Azam, B. Fisher and M. Khan, Common fixed point theorems in complex valued metric spaces, Numerical Functional Analysis and Optimization, 32(3): 243-253(2011).
• [3] Sandeep Bhatt, Shruti Chaukiyal, R.C. Dimri, Common fixed point of mappings satisfying rational inequality in complex valued metric spaces, International Journal of Pure and Applied Mathematics, 73(2): 159-164 (2011).
• [4] G. Jungck, Compatible mappings and common fixed points, Int. J. Math. Math. Sci., 9: 771-779 (1986).
• [5] S. Manro, Some common fixed point theorems in complex valued metric spaces using implicit relation, International Journal of Analysis and Applications, 2(1):, 62-70 (2013).
• [6] K. P. R Sastry, G. A Naidu and T. Bekeshie, Metrizability of complex valued metric spaces and remarks on fixed point theorems in complex valued metric spaces, International Journal of Mathematical Archive, 3(7): 2686-2690 (2012)