scholarly journals Common fixed points for generalized contractive multivalued operators in complete metric spaces

2009 ◽  
Vol 22 (12) ◽  
pp. 1864-1869 ◽  
Author(s):  
Minjian Shen ◽  
Shihuang Hong
Keyword(s):  
Fixed Points ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Complete Metric Spaces ◽  
Multivalued Operators

scholarly journals On Fixed Points of Asymptotically Regular Mappings

1987 ◽  
Vol 43 (3) ◽  
pp. 328-346 ◽  
Author(s):  
B. E. Rhoades ◽  
S. sessa ◽  
M. S. Khan ◽  
M. Swaleh
Keyword(s):  
Fixed Points ◽  
Banach Spaces ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Linear Spaces ◽  
Complete Metric Spaces ◽  
Normed Linear Spaces ◽  
Asymptotically Regular

Some results on fixed points of asymptotically regular mappings are obtained in complete metric spaces and normed linear spaces.The structure of the set of common fixed points is also discussed in Banach spaces. Our work generalizes essentially known results of Das and Naik, Fisher, Jaggi, Jungck, Rhoades, Singh and Tiwari and several others.

scholarly journals Fixed Point, Data Dependence, and Well-Posed Problems for Multivalued Nonlinear Contractions

2021 ◽  
Vol 2021 ◽  
pp. 1-14
Author(s):  
Iram Iqbal ◽  
Nawab Hussain ◽  
Hamed H. Al-Sulami ◽  
Shanza Hassan
Keyword(s):  
Fixed Points ◽  
Metric Spaces ◽  
Data Dependence ◽  
Well Posedness ◽  
Nonlinear Operators ◽  
Complete Metric Spaces ◽  
Multivalued Operators ◽  
Point Data ◽  
Well Posed ◽  
Nonlinear Contractions

The aim of the paper is to discuss data dependence, existence of fixed points, strict fixed points, and well posedness of some multivalued generalized contractions in the setting of complete metric spaces. Using auxiliary functions, we introduce Wardowski type multivalued nonlinear operators that satisfy a novel class of contractive requirements. Furthermore, the existence and data dependence findings for these multivalued operators are obtained. A nontrivial example is also provided to support the results. The results generalize, improve, and extend existing results in the literature.

RANDOM COINCIDENCE AND FIXED POINTS FOR WEAKLY COMPATIBLE MAPPINGS IN CONVEX METRIC SPACES

2009 ◽  
Vol 02 (02) ◽  
pp. 171-182 ◽  
Author(s):  
Izmat Beg ◽  
Adnan Jahangir ◽  
Akbar Azam
Keyword(s):  
Fixed Points ◽  
Metric Spaces ◽  
Weakly Compatible Mappings ◽  
Compatible Mappings ◽  
Coincidence Points ◽  
Random Coincidence ◽  
Complete Metric Spaces ◽  
Random Fixed Points ◽  
Weakly Compatible ◽  
Convex Metric Spaces

Some new theorems on random coincidence points and random fixed points for weakly compatible mappings in convex separable complete metric spaces have been established. These results generalize some recent well known comparable results in the literature.

Hybrid fixed points of multivalued operators in metric spaces with applications

2009 ◽  
Vol 70 (11) ◽  
pp. 4106-4117 ◽  
Author(s):  
Shihuang Hong ◽  
Dongxue Guan ◽  
Li Wang
Keyword(s):  
Fixed Points ◽  
Metric Spaces ◽  
Multivalued Operators
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