Common Fixed Point Theorem for Hybrid Generalized Multivalued

In this work, the common fixed point theorems for a pair of hybrid generalized multivalued -weak contraction are proven. Consequently, since the concept of hybrid generalized multivalued -weak contraction includes almost con cepts of the generalizations of Banach contraction principle as special cases, our results can be viewed as a refinement and improvement of the previously known results for metric fixed-point theory.

[1]  Qingnian Zhang,et al.  Fixed point theory for generalized'-weak contractions , 2009 .

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

[3]  Approximation for Fixed Points of Multivalued Contractive Mappings , 1988 .

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

[5]  Naseer Shahzad,et al.  Noncommuting selfmaps and invariant approximations , 2006 .

[6]  B. Dhage,et al.  MULTI-VALUED OPERATORS AND FIXED POINT THEOREMS IN BANACH ALGEBRAS I , 2006 .

[7]  Wataru Takahashi,et al.  Fixed point theorems for multivalued mappings on complete metric spaces , 1989 .

[8]  V. Pták The rate of convergence of Newton's process , 1975 .

[9]  J. Markin A fixed point theorem for set valued mappings , 1968 .

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

[11]  B. Rhoades,et al.  Some theorems on weakly contractive maps , 2001 .

[12]  William A. Kirk,et al.  Fixed point theorems for set-valued mappings of contractive type , 1972 .

[13]  Yisheng Song,et al.  A NOTE ON COMMON FIXED-POINTS FOR BANACH OPERATOR PAIRS , 2007 .

[14]  Hideaki Kaneko,et al.  Fixed Points of Generalized Contractive Multi-valued Mappings , 1995 .

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

[16]  Nawab Hussain,et al.  Common fixed point and invariant approximation results for noncommuting generalized (f,g)-nonexpansive maps , 2006 .

[17]  H. M. Abu-Donia Common fixed point theorems for fuzzy mappings in metric space under ϕ-contraction condition , 2007 .