Generalized nonexpansive mappings in ordered metric spaces and their (common) fixed points with applications

2013 ◽  
Vol 108 (2) ◽  
pp. 633-651
Author(s):  
Hemant Kumar Nashine ◽  
Zoran Kadelburg
Keyword(s):  
Fixed Points ◽  
Metric Spaces ◽  
Nonexpansive Mappings ◽  
Common Fixed Points ◽  
Ordered Metric Spaces

Common fixed points of almost generalized contractive mappings in ordered metric spaces

2011 ◽  
Vol 217 (12) ◽  
pp. 5784-5789 ◽  
Author(s):  
Ljubomir Ćirić ◽  
Mujahid Abbas ◽  
Reza Saadati ◽  
Nawab Hussain
Keyword(s):  
Fixed Points ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Ordered Metric Spaces ◽  
Contractive Mappings

scholarly journals Common Fixed Points for Weakψ-Contractive Mappings in Ordered Metric Spaces with Applications

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Sumit Chandok ◽  
Simona Dinu
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Contractive Condition ◽  
Ordered Metric Spaces ◽  
Contractive Mappings ◽  
Common Fixed Point Theorems

We obtain some new common fixed point theorems satisfying a weak contractive condition in the framework of partially ordered metric spaces. The main result generalizes and extends some known results given by some authors in the literature.

scholarly journals COMMON FIXED POINTS OF A PAIR OF SELFMAPS SATISFYING CERTAIN WEAKLY CONTRACTIVE INEQUALITY INVOLVING RATIONAL TYPE EXPRESSIONS VIA TWO AUXILIARY FUNCTIONS IN PARTIALLY ORDERED METRIC SPACES

2017 ◽  
pp. 329
Author(s):  
Gutti Venkata Ravindranadh Babu ◽  
Kandala Kanaka Mahalakshmi Sarma ◽  
Padala Hari Kirshna ◽  
Vallabhapurapu Asunee Kumari ◽  
Gedala Satyanarayana ◽  
...  
Keyword(s):  
Fixed Points ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Ordered Metric Spaces ◽  
Partially Ordered Metric Spaces ◽  
Partially Ordered ◽  
Auxiliary Functions ◽  
Weakly Contractive ◽  
Rational Type

In this paper, we prove the existence of coincidence and common fixed points of a pair of selfmaps satisfying certain weakly contractive inequality with two auxiliary functions involving rational type expressions in partially ordered metric spaces. These results extend some of the known existing results in the literature from a single selfmap to a pair of selfmaps. Examples are provided in support of our results.

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