Fixed Point Theorems of Contractive Mappings in $$\mathbf {A}$$-cone Metric Spaces over Banach Algebras

2018 ◽  
pp. 262-270
Author(s):  
Isa Yildirim ◽  
Wudthichai Onsod ◽  
Poom Kumam
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Banach Algebras ◽  
Cone Metric Spaces ◽  
Contractive Mappings ◽  
Cone Metric

scholarly journals Some Fixed Point Theorems of Contractive Mappings in P b r -Cone Metric Spaces over Banach Algebras

2021 ◽  
Vol 2021 ◽  
pp. 1-8
Author(s):  
Abba Auwalu ◽  
Evren Hinçal
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Banach Algebras ◽  
Cone Metric Space ◽  
Cone Metric Spaces ◽  
Contractive Mappings ◽  
Cone Metric

In this paper, we introduce the concept of a P b r -cone metric space over Banach algebras and prove some fixed point results under various contractive mappings in such a space. Some examples are given to elucidate the results. Our results extend and generalize many existing results in the literature.

Generalized cone metric spaces and fixed point theorems of contractive mappings

2018 ◽  
Vol 13 (1) ◽  
pp. 1-8
Author(s):  
Zaryab Hussain ◽  
Shahid Hussain Arshad ◽  
Muhammad Arslan ◽  
Zohib Akram
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Cone Metric Spaces ◽  
Contractive Mappings ◽  
Cone Metric

scholarly journals Unique common fixed points for mixed contractive mappings on non-normal cone metric spaces over Banach algebras

Filomat ◽  
2018 ◽  
Vol 32 (6) ◽  
pp. 2067-2079
Author(s):  
Yongjie Piao ◽  
Shaoyuan Xu
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Normal Cone ◽  
Metric Spaces ◽  
Banach Algebras ◽  
Common Fixed Points ◽  
Cone Metric Spaces ◽  
Common Fixed Point Theorems ◽  
Cone Metric ◽  
Unique Common Fixed Point

In this paper, we discuss and obtain some new unique common fixed point theorems for two mappings satisfying Kannan type mixed contractive conditions and Chatterjea type mixed contractive conditions respectively on cone metric spaces over Banach algebras without the assumption of normality and give some generalizations of Kannan type and Chatterjea type fixed point theorems.

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