Common fixed points of noncommuting almost contractions in cone metric spaces

In this paper we prove the existence of coincidence points and common flxed points for a large class of almost contractions in cone metric spaces. These results generalize, extend and unify several well-known recent related results in literature. AMS subject classiflcations: 47H10, 54H25

[1]  S. Radenović,et al.  Strict Contractive Conditions and Common Fixed Point Theorems in Cone Metric Spaces , 2009 .

[2]  Vasile Berinde,et al.  APPROXIMATING COMMON FIXED POINTS OF NONCOMMUTING ALMOST CONTRACTIONS IN METRIC SPACES , 2010 .

[3]  Wei-Shih Du,et al.  A note on cone metric fixed point theory and its equivalence , 2010 .

[4]  D. R. Smart.  Fixed Point Theorems , 1974 .

[5]  Tudor Zamfirescu,et al.  Fix point theorems in metric spaces , 1972 .

[6]  S. Rezapour,et al.  Some notes on the paper "Cone metric spaces and fixed point theorems of contractive mappings" , 2008 .

[7]  G. Jungck,et al.  COMMON FIXED POINTS FOR NONCONTINUOUS NONSELF MAPS ON NONMETRIC SPACES , 1996 .

[8]  B. Rhoades,et al.  A comparison of various definitions of contractive mappings , 1977 .

[9]  Vasile Berinde,et al.  On the approximation of fixed points of weak contractive mappings , 2003 .

[10]  TWO RESULTS ABOUT FIXED POINT OF MULTIFUNCTIONS , 2010 .

[11]  Stojan Radenovic.  Common fixed points under contractive conditions in cone metric spaces , 2009, Comput. Math. Appl..

[12]  Mujahid Abbas,et al.  Common fixed point results for noncommuting mappings without continuity in cone metric spaces , 2008 .

[13]  G. Jungck,et al.  Commuting Mappings and Fixed Points , 1976 .

[14]  S. Rezapour,et al.  Fixed Point of Multifunctions on Cone Metric Spaces , 2009 .

[15]  V. Berinde.  Iterative Approximation of Fixed Points , 2007 .

[16]  Akbar Azam,et al.  Some Common Fixed Point Results in Cone Metric Spaces , 2009 .

[17]  R. H. Haghi,et al.  Fixed points of multifunctions on regular cone metric spaces , 2010 .

[18]  Vasile Berinde,et al.  A common fixed point theorem for compatible quasi contractive self mappings in metric spaces , 2009, Appl. Math. Comput..

[19]  Vasile Berinde,et al.  APPROXIMATING FIXED POINTS OF WEAK '-CONTRACTIONS USING THE PICARD ITERATION , 2003 .

[20]  Zengqin Zhao,et al.  Fixed points of decreasing operators in ordered Banach spaces and applications to nonlinear second order elliptic equations , 2009, Comput. Math. Appl..

[21]  Xian Zhang,et al.  Cone metric spaces and fixed point theorems of contractive mappings , 2007 .

[22]  A. RusIoan.  PICARD OPERATORS AND APPLICATIONS , 2003 .

[23]  J. Harjani,et al.  Generalized contractions in partially ordered metric spaces and applications to ordinary differential equations , 2010 .