scholarly journals Fixed Point Results of Expansive Mappings in Metric Spaces

Mathematics ◽  
2020 ◽  
Vol 8 (10) ◽  
pp. 1800
Author(s):  
Seher Sultan Yeşilkaya ◽  
Cafer Aydın

In this study, we introduce the concept of θ-expansive mapping in ordered metric spaces and prove a fixed point theorem for such mappings. We give some fixed point results for θ-expansive mapping in metric spaces and prove fixed point theorems for such mappings. These results extend the main results of many comparable results from the current literature. We also obtain a common fixed point theorem of two weakly compatible mappings in metric spaces. Finally, the examples are presented to support the new theorems and results proved.

2015 ◽  
Vol 24 (1) ◽  
pp. 77-82
Author(s):  
SAVITA RATHEE ◽  
◽  
SAVITA REETU ◽  

In the present paper we establish a common fixed point theorem and apply it to find new best approximation results for ordered subcompatible mappings in the hyperbolic ordered metric space. Our results unify, generalize and complement various known results.


2020 ◽  
Vol 5 (5) ◽  
pp. 40-44
Author(s):  
Umesh Rajopadhyaya ◽  
K. Jha

In this paper, we establish a common fixed point theorem for three pairs of self mappings in semi-metric space using compatible mappings of type (R) which improves and extends similar known results in the literature.


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