%0 Journal Article %T Unified implicit common fixed point theorems under non-negative complex valued functions satisfying the identity of indiscernible %A Singh, Deepak %A Joshi, Vishal %A Imdad, Mohammad %A Kumam, Poom %J Journal of Nonlinear Sciences and Applications %D 2016 %V 9 %N 5 %@ ISSN 2008-1901 %F Singh2016 %X In this paper, we consider a non-negative complex valued function satisfying the identity of indiscernible and utilize the same to prove some common fixed point theorems for two pairs of non-vacuously weakly compatible mappings satisfying an implicit relation having rational terms as its co-ordinates. Some illustrative examples are also given which demonstrate the validity of the hypotheses of our results. In process, a host of previously known results in the context of complex as well as real valued metric spaces are generalized and improved. %9 journal article %R 10.22436/jnsa.009.05.11 %U http://dx.doi.org/10.22436/jnsa.009.05.11 %P 2049--2069 %0 Journal Article %T Common fixed point results for contractive mappings in complex valued metric spaces %A J. Ahmed %A A. Azam %A S. Saejung %J Fixed Point Theory Appl. %D 2014 %V 2014 %F Ahmed2014 %0 Journal Article %T An implicit function implies several contraction conditions %A A. Ali %A M. Imdad %J Sarajevo J. Math. %D 2008 %V 4 %F Ali2008 %0 Journal Article %T Common fixed point theorems in complex valued metric spaces %A A. Azam %A B. Fisher %A M. Khan %J Numer. Func. Anal. Optim. %D 2011 %V 32 %F Azam2011 %0 Journal Article %T Common fixed point theorems for occasionally weakly Compatible mappings under relaxed conditions %A A. Bhatt %A H. Chandra %A D. R. Sahu %J Nonlinear Anal. %D 2010 %V 73 %F Bhatt2010 %0 Journal Article %T A common fixed point theorem for weakly compatible maps in complex valued metric spaces %A S. Bhatt %A S. Chaukiyal %A R. C. Dimri %J Int. J. Math. Sci. Appl. %D 2011 %V 1 %F Bhatt2011 %0 Journal Article %T Some common fixed point results for rational type contraction mappings in complex valued metric spaces %A S. Chandok %A D. Kumar %J J. Operators %D 2013 %V 2013 %F Chandok2013 %0 Journal Article %T A common fixed point theorem under contractive condition in complex valued metric spaces %A S. K. Datta %A S. Ali %J Int. J. Adv. Sci. Tech. Research %D 2012 %V 6 %F Datta2012 %0 Journal Article %T Some new common fixed point theorems in fuzzy metric spaces %A D. Gopal %A M. Imdad %J Ann. Univ. Ferrara Sez. VII Sci. Mat. %D 2011 %V 57 %F Gopal2011 %0 Journal Article %T A general fixed point theorem in fuzzy metric spaces via an implicit function %A M. Imdad %A J. Ali %J J. Appl. Math. Info. %D 2008 %V 26 %F Imdad2008 %0 Journal Article %T Remarks on some fixed point theorems satisfying implicit relations %A M. Imdad %A S. Kumar %A M. S. Khan %J Rad. Mat. %D 2002 %V 11 %F Imdad2002 %0 Journal Article %T Fixed point theorems for occasionally weakly compatible mappings %A G. Jungck %A B. E. Rhoades %J Fixed Point Theory %D 2006 %V 7 %F Jungck2006 %0 Journal Article %T Common fixed point theorems under rational contractions in complex valued metric spaces %A H. K. Nashine %A M. Imdad %A H. Hasan %J J. Nonlinear Sci. Appl. %D 2014 %V 7 %F Nashine2014 %0 Journal Article %T Fixed point theorems for implicit contractive mappings %A V. Popa %J Stud. Cercet. Ser. Mat. Univ. Bacau %D 1997 %V 7 %F Popa1997 %0 Journal Article %T Some fixed point theorems for compatible mappings satisfying an implicit relation %A V. Popa %J Demonstratio Math. %D 1999 %V 32 %F Popa1999 %0 Journal Article %T A general fixed point theorem for occasionally weakly compatible mappings and application %A V. Popa %J Sci. Stud. Res. Ser. Math. Inform. %D 2012 %V 22 %F Popa2012 %0 Journal Article %T Using implicit relations to prove unified fixed point theorems in metric and 2-metric spaces %A V. Popa %A M. Imdad %A J. Ali %J Bull. Malays. Math. Sci. Soc. %D 2010 %V 33 %F Popa2010 %0 Journal Article %T A common fixed point theorem in complex valued b-metric spaces %A K. P. R. Rao %A P. Rangaswamy %A J. R. Prasad %J Bull. Math. Stat. Res. %D 2013 %V 1 %F Rao2013 %0 Journal Article %T Some common fixed point theorems on complex valued metric spaces %A F. Rouzkard %A M. Imdad %J Comput. Math. Appl. %D 2012 %V 64 %F Rouzkard2012 %0 Journal Article %T A common fixed point theorem for four self maps in complex valued and vector valued metric spaces %A K. P. R. Sastry %A G. A. Naidu %A T. Bekeshie %A M. A. Rahamatulla %J Int. J. Math. Arc. %D 2012 %V 3 %F Sastry2012 %0 Journal Article %T Common fixed point theorems using property (E.A) in complex-valued metric spaces %A R. K. Verma %A H. K. Pathak %J Thai J. Math. %D 2013 %V 11 %F Verma2013