Common fixed point theorems for c-distance in ordered cone metric spaces

Abstract Recently, Cho et al. [Y.J. Cho, R. Saadati, S.H. Wang, Common fixed point theorems on generalized distance in ordered cone metric spaces, Comput. Math. Appl. 61 (2011) 1254–1260] introduced the concept of the c -distance in a cone metric space and established some fixed point theorems on c -distance. The aim of this paper is to extend and generalize the main results of Cho et al.  [20] and also show some examples to validate our main results.

[1]  Akbar Azam,et al.  COMMON FIXED POINTS OF GENERALIZED CONTRACTIVE MAPS IN CONE METRIC SPACES , 2011 .

[2]  Binayak S. Choudhury,et al.  A new contraction principle in menger spaces , 2008 .

[3]  Poom Kumam,et al.  Gregus type fixed points for a tangential multi-valued mappings satisfying contractive conditions of integral type , 2011 .

[4]  Poom Kumam,et al.  Gregus-Type Common Fixed Point Theorems for Tangential Multivalued Mappings of Integral Type in Metric Spaces , 2011, Int. J. Math. Math. Sci..

[5]  Mujahid Abbas,et al.  Fixed and periodic point results in cone metric spaces , 2009, Appl. Math. Lett..

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

[7]  Vladimir Rakocevic,et al.  Quasi-contraction on a cone metric space , 2009, Appl. Math. Lett..

[8]  Yeol Je Cho,et al.  Common fixed point theorems on generalized distance in ordered cone metric spaces , 2011, Comput. Math. Appl..

[9]  P ? ? ? ? ? ? ? % ? ? ? ? , 1991 .

[10]  Narin Petrot,et al.  Common Fixed Point Theorem for Hybrid Generalized Multivalued , 2012 .

[11]  Wataru Takahashi,et al.  NONCONVEX MINIMIZATION THEOREMS AND FIXED POINT THEOREMS IN COMPLETE METRIC SPACES , 1996 .

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

[13]  G. Jungck,et al.  Common Fixed Point Theorems for Weakly Compatible Pairs on Cone Metric Spaces , 2009 .

[14]  Vladimir Rakočević,et al.  Common fixed points for maps on cone metric space , 2008 .

[15]  Alexander D. Arvanitakis.  A proof of the Generalized Banach Contraction Conjecture , 2003 .

[16]  Dariusz Wardowski.  Endpoints and fixed points of set-valued contractions in cone metric spaces , 2009 .

[17]  S. Banach.  Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales , 1922 .

[18]  J. S. W. Wong,et al.  On nonlinear contractions , 1969 .

[19]  B. Rothschild,et al.  An application of Ramsey's Theorem to the Banach Contraction Principle , 2001 .

[20]  Tomonari Suzuki,et al.  A generalized Banach contraction principle that characterizes metric completeness , 2007 .

[21]  Poom Kumam,et al.  Coincidence and common fixed points for hybrid strict contractions without the weakly commuting condition , 2009, Appl. Math. Lett..

[22]  Poom Kumam,et al.  Weak condition for generalized multi-valued (f, alpha, beta)-weak contraction mappings , 2011, Appl. Math. Lett..