scholarly journals Fixed point theorems for convex contractions on cone 2-metric space over Banach algebra

2018 ◽  
Keyword(s):  
Fixed Point ◽  
Banach Algebra ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Convex Contractions

scholarly journals Dislocated quasi cone b-metric space over Banach algebra and contraction principles with application to functional equations

2019 ◽  
Vol 17 (1) ◽  
pp. 1065-1081
Author(s):  
Reny George ◽  
Hossam A. Nabwey ◽  
Jelena Vujaković ◽  
R. Rajagopalan ◽  
Selva Vinayagam
Keyword(s):  
Fixed Point ◽  
Banach Algebra ◽  
Common Fixed Point ◽  
Metric Space ◽  
Functional Equations ◽  
Fixed Point Theorems ◽  
Identical Pair ◽  
Common Fixed Point Theorems

Abstract In this paper we introduce dislocated and dislocated quasi version of a cone b-metric space over a Banach algebra as well as weak semi α-admissible and α-identical pair of mappings and prove common fixed point theorems for a pair of α-identical and weak α-admissible mappings in the aforesaid spaces. Our results are supported with suitable examples and an application to a system of m-tupled functional equations.

scholarly journals On J -Cone Metric Spaces over a Banach Algebra and Some Fixed-Point Theorems

2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
Jerolina Fernandez ◽  
Neeraj Malviya ◽  
Vahid Parvaneh ◽  
Hassen Aydi ◽  
Babak Mohammadi
Keyword(s):  
Fixed Point ◽  
Banach Algebra ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Cone Metric Space ◽  
Cone Metric Spaces ◽  
Expansive Maps ◽  
Cone Metric

In the present paper, we define J -cone metric spaces over a Banach algebra which is a generalization of G p b -metric space ( G p b -MS) and cone metric space (CMS) over a Banach algebra. We give new fixed-point theorems assuring generalized contractive and expansive maps without continuity. Examples and an application are given at the end to support the usability of our results.

Algebra cone generalized b-metric space over Banach algebra and fixed point theorems of generalized Lipschitz mappings

2018 ◽  
Vol 11 (05) ◽  
pp. 1850068
Author(s):  
Aziz Ahmed ◽  
J. N. Salunke
Keyword(s):  
Fixed Point ◽  
Banach Algebra ◽  
Spectral Radius ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Lipschitz Mappings

In this paper, we introduce the concept of algebra cone generalized [Formula: see text]-metric space over Banach algebra by replacing the constant [Formula: see text] with [Formula: see text] where [Formula: see text] is the spectral radius of [Formula: see text], with this modification we shall prove Banach and Kannan fixed point results for contractive generalized Lipschitz mappings in such a space. Moreover, we present one example in support of our results.

scholarly journals Common fixed point theorems on quasi-cone metric space over a divisible Banach algebra

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Andreea Fulga ◽  
Hojjat Afshari ◽  
Hadi Shojaat
Keyword(s):  
Fixed Point ◽  
Banach Algebra ◽  
Common Fixed Point ◽  
Metric Space ◽  
Existence And Uniqueness ◽  
Fixed Point Theorems ◽  
Cone Metric Space ◽  
The Self ◽  
Common Fixed Point Theorems ◽  
Cone Metric

AbstractIn this manuscript, we investigate the existence and uniqueness of a common fixed point for the self-mappings defined on quasi-cone metric space over a divisible Banach algebra via an auxiliary mapping ϕ.

scholarly journals Fixed Points of Contractive Type Maps in Cone Metric Space over Banach Algebra

2019 ◽  
pp. 1-11
Author(s):  
Ashfaque Ur Rahman ◽  
Geeta Modi ◽  
K. Qureshi ◽  
Manoj Ughade
Keyword(s):  
Fixed Point ◽  
Banach Algebra ◽  
Fixed Points ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Cone Metric Space ◽  
Contractive Type ◽  
Cone Metric

Our goal in this paper is to prove some fixed point and common fixed theorems for contractive type maps in a CMS over Banach algebra, which unify, extend and generalize most of the existing relevant fixed point theorems from Shaoyuan Xu and Stojan Radenovic [1]. We provide illustrative example to verify our results.

scholarly journals Fixed Points of Expansive Type Maps in Cone Metric Space over Banach Algebra

2020 ◽  
pp. 140-151
Author(s):  
Richa Gupta ◽  
Anil Bakhru
Keyword(s):  
Fixed Point ◽  
Banach Algebra ◽  
Fixed Points ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Cone Metric Space ◽  
Contractive Type ◽  
Cone Metric

Our aim of this paper is to prove some fixed point and common fixed theorems for contractive type maps in a cone metric space over Banach algebra, which unify, extend and generalize most of the existing relevant fixed point theorems from Jiang et al. [1].

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