A Novel Approach to Fixed Point Theorems in 2-Cone Normed Spaces over Banach Algebras

2021 ◽  
Vol 42 (12) ◽  
pp. 2754-2763
Author(s):  
D. Dhamodharan ◽  
Doaa Rizk
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Banach Algebras ◽  
Normed Spaces ◽  
Novel Approach

scholarly journals Some fixed point theorems in n-normed spaces

2020 ◽  
Vol 25 (3) ◽  
pp. 1-15 ◽  
Author(s):  
Hanan Sabah Lazam ◽  
Salwa Salman Abed
Keyword(s):  
Fixed Point ◽  
Banach Spaces ◽  
Normed Space ◽  
Fixed Point Theorems ◽  
Normed Spaces ◽  
Weak Contraction ◽  
Contraction Mappings ◽  
Basic Properties ◽  
Definition Of

In this article, we recall the definition of a real n-normed space and some basic properties. fixed point theorems for types of Kannan, Chatterge, Zamfirescu, -Weak contraction and  - (,)-Weak contraction mappings in  Banach spaces.

Quasi-2-Normed Spaces and Some Fixed Point Theorems

2016 ◽  
Vol 10 (2) ◽  
pp. 469-474
Author(s):  
Kristaq Kikina ◽  
Luljeta Gjoni ◽  
Kostaq Hila
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Normed Spaces

Some fixed point theorems for -convex subsets in -normed spaces

2011 ◽  
Vol 74 (5) ◽  
pp. 1738-1748 ◽  
Author(s):  
Jian-Zhong Xiao ◽  
Xing-Hua Zhu
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Normed Spaces ◽  
Convex Subsets

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.

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