Some Coupled coincidence and common fixed point theorems for hybrid pair of mappings

In this paper we extend the multi-valued mappings and obtain coupled coincidence points and common coupled fixed point theorems involving hybrid pair of single valued and multi-valued maps satisfying generalized contractive conditions in the frame work of a complete metric space. Keywords : coupled common fixed point, coupled coincidence point, coupled point of coincidence, w-compatible mappings, F-weakly commuting mappings

[1]  Bessem Samet,et al.  Coupled fixed point theorems for a generalized Meir–Keeler contraction in partially ordered metric spaces , 2010 .

[2]  Dariusz Wardowski,et al.  Fixed point theorems for set-valued contractions in complete metric spaces , 2007 .

[3]  Shihuang Hong,et al.  Fixed points of multivalued operators in ordered metric spaces with applications , 2010 .

[4]  Bessem Samet,et al.  Coupled fixed point theorems for multi-valued nonlinear contraction mappings in partially ordered metric spaces , 2011 .

[5]  Ishak Altun,et al.  Fixed point and common fixed point theorems on ordered cone metric spaces , 2010, Appl. Math. Lett..

[6]  B. Dhage,et al.  A general multi-valued hybrid fixed point theorem and perturbed differential inclusions , 2006 .

[7]  V. Lakshmikantham,et al.  Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces , 2009 .

[8]  Naseer Shahzad,et al.  Coincidence points, generalized I-nonexpansive multimaps, and applications , 2007 .

[9]  Abdul Rahim Khan,et al.  Coincidences of Lipschitz-Type Hybrid Maps and Invariant Approximation , 2007 .

[10]  L. Górniewicz.  Topological Fixed Point Theory of Multivalued Mappings , 1999 .

[11]  Shihuang Hong,et al.  Fixed points for mixed monotone multivalued operators in Banach spaces with applications , 2008 .

[12]  V. Lakshmikantham,et al.  Fixed point theorems in partially ordered metric spaces and applications , 2006 .

[13]  Shihuang Hong,et al.  Fixed points of discontinuous multivalued increasing operators in Banach spaces with applications , 2003 .

[14]  J. T. Markin.  Continuous dependence of fixed point sets , 1973 .

[15]  Dongxue Guan,et al.  Hybrid fixed points of multivalued operators in metric spaces with applications , 2009 .

[16]  Miloje Rajović,et al.  Monotone Generalized Nonlinear Contractions in Partially Ordered Metric Spaces , 2008 .

[17]  S. Nadler.  Multi-valued contraction mappings. , 1969 .

[18]  H. P. Masiha,et al.  Some Coupled Fixed Point Theorems in Cone Metric Spaces , 2009 .

[19]  Yin Jian-dong,et al.  Fixed Point Theorems in Cone Metric Space , 2010 .

[20]  Dmitrii Serkov.  On fixed points of multivalued mappings , 2014 .

[21]  Bapurao C. Dhage,et al.  Hybrid fixed point theory for strictly monotone increasing multi-valued mappings with applications , 2007, Comput. Math. Appl..

[22]  Abdul Rahim Khan,et al.  Properties of fixed point set of a multivalued map , 2005 .