scholarly journals Quadruple random common fixed point results of generalized Lipschitz mappings in cone b-metric spaces over Banach algebras

2017 ◽  
Vol 11 (01) ◽  
pp. 131-149 ◽  
Author(s):  
Chayut Kongban ◽  
Poom Kumam
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Spaces ◽  
Banach Algebras ◽  
Lipschitz Mappings

scholarly journals Some Coincidence and Common Fixed-Point Results on Cone b 2 -Metric Spaces over Banach Algebras with Applications to the Infinite System of Integral Equations

2021 ◽  
Vol 2021 ◽  
pp. 1-14
Author(s):  
Ziaul Islam ◽  
Muhammad Sarwar ◽  
Doaa Filali ◽  
Fahd Jarad
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Integral Equations ◽  
Fixed Point Theorems ◽  
Infinite System ◽  
Metric Spaces ◽  
Banach Algebras ◽  
System Of Integral Equations ◽  
Different Types ◽  
Common Fixed Point Theorems

In this article, common fixed-point theorems for self-mappings under different types of generalized contractions in the context of the cone b 2 -metric space over the Banach algebra are discussed. The existence results obtained strengthen the ones mentioned previously in the literature. An example and an application to the infinite system of integral equations are also presented to validate the main results.

scholarly journals Some New Theorems on c-Distance without Continuity in Cone Metric Spaces over Banach Algebras

2018 ◽  
Vol 2018 ◽  
pp. 1-10 ◽  
Author(s):  
Yan Han ◽  
Shaoyuan Xu
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Banach Algebras ◽  
Cone Metric Spaces ◽  
The Common ◽  
Common Fixed Point Theorems ◽  
Lipschitz Conditions ◽  
Cone Metric

The fixed point theorems for one mapping and the common fixed point theorems for two mappings satisfying generalized Lipschitz conditions are obtained, without appealing to continuity for mappings or normality for cone in the conditions. Furthermore, we not only get the existence of the fixed point but also get the uniqueness. These results greatly improve and generalize several well-known comparable results in the literature. Moreover, example is given to support our new results.

scholarly journals Near-Common Fixed Point Result in Cone Interval b-Metric Spaces over Banach Algebras

Axioms ◽  
2021 ◽  
Vol 10 (4) ◽  
pp. 251
Author(s):  
Muhammad Sarwar ◽  
Ziaul Islam ◽  
Hijaz Ahmad ◽  
Hüseyin Işık ◽  
Samad Noeiaghdam
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Metric Spaces ◽  
Banach Algebras ◽  
Fixed Point Result ◽  
Different Types

In this article, we proposed the concept of cone interval b-metric space over Banach algebras. Furthermore, some near-fixed point and near-common fixed point results are proved in the context of cone interval b-metric space and normed interval spaces for self-mappings under different types of generalized contractions. An example is presented to validate our main outcome.

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