scholarly journals Common Fixed Points of Generalized Cyclic Meir-Keeler-Type Contractions in Partially Ordered Metric Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-7
Author(s):  
Chiming Chen ◽  
Ing-Jer Lin
Keyword(s):  
Fixed Points ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Ordered Metric Spaces ◽  
Partially Ordered Metric Spaces ◽  
Partially Ordered

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.

scholarly journals New Fixed Point Theorems and Application of Mixed Monotone Mappings in Partially Ordered Metric Spaces

2018 ◽  
Vol 2018 ◽  
pp. 1-11
Author(s):  
Li Liu ◽  
Anmin Mao ◽  
Yingying Shi
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Metric Spaces ◽  
Monotone Mapping ◽  
Coupled Fixed Point ◽  
Monotone Mappings ◽  
Ordered Metric Spaces ◽  
Partially Ordered Metric Spaces ◽  
Partially Ordered ◽  
Uniqueness Results

We consider the existence of a coupled fixed point for mixed monotone mapping F:X×X→X satisfying a new contractive inequality which involves an altering distance function in partially ordered metric spaces. We also establish some uniqueness results for coupled fixed points, as well as the existence of fixed points of mixed monotone operators. The presented results generalize and develop some existing results. In addition to an example as well as an application, we establish some uniqueness results for a system of integral equations.

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