Common Fixed Points for a Pair of Selfmaps in Extended Rectangular B-Metric Spaces for Almost Alpha-Suzuki Non Linear Type Contractions

2021 ◽  
pp. 72-87
Author(s):  
M. V. R. Kameswari
Keyword(s):  
Fixed Points ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Linear Type ◽  
Non Linear

scholarly journals A New Class of Contraction inb-Metric Spaces and Applications

2017 ◽  
Vol 2017 ◽  
pp. 1-10 ◽  
Author(s):  
Preeti Kaushik ◽  
Sanjay Kumar ◽  
Kenan Tas
Keyword(s):  
Integral Equation ◽  
Fixed Points ◽  
Existence And Uniqueness ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
New Class ◽  
End Results

A novel class ofα-β-contraction for a pair of mappings is introduced in the setting ofb-metric spaces. Existence and uniqueness of coincidence and common fixed points for such kind of mappings are investigated. Results are supported with relevant examples. At the end, results are applied to find the solution of an integral equation.

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