Common Coupled Fixed Point Theorems in C*-Algebra-Valued Metric Spaces

2021 ◽  
Vol 10 (01) ◽  
pp. 218-229
Author(s):  
巧玲 辛
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Common Coupled Fixed Point

scholarly journals Coupled Fixed Point Theorems in Vector b-metric Space

2019 ◽  
Vol 8 (3S3) ◽  
pp. 468-476
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Common Coupled Fixed Point

This paper consists of some coupled and common coupled fixed point theorems in vector b-metric spaces. Vector b-metric space or E-b-metric space was introduced by Petre [6] merging the concepts of vector metric space as introduced by Cevik [4] and b-metric space as introduced by Czerwik [5]. We generalize the results of Shatnanawi and Hani [8] and Rao et al. [7].

scholarly journals Common Coupled Fixed Point Theorems of Single-Valued Mapping forc-Distance in Cone Metric Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-24 ◽  
Author(s):  
Zaid Mohammed Fadail ◽  
Abd Ghafur Bin Ahmad
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Cone Metric Spaces ◽  
Common Coupled Fixed Point ◽  
Different Types ◽  
The Common ◽  
Contraction Type ◽  
Cone Metric

The existence and uniqueness of the common coupled fixed point in cone metric spaces have been studied by considering different types of contractive conditions. A new concept of thec-distance in cone metric space has been recently introduced in 2011. Then, coupled fixed point results for contraction-type mappings in ordered cone metric spaces and cone metric spaces have been considered. In this paper, some common coupled fixed point results onc-distance in cone metric spaces are obtained. Some supporting examples are given.

scholarly journals Common Coupled Fixed-Point Theorems in Generalized Fuzzy Metric Spaces

2011 ◽  
Vol 2011 ◽  
pp. 1-6 ◽  
Author(s):  
K. P. R. Rao ◽  
I. Altun ◽  
S. Hima Bindu
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Fuzzy Metric Spaces ◽  
Common Coupled Fixed Point ◽  
Fuzzy Metric

We prove two unique common coupled fixed-point theorems for self maps in symmetricG-fuzzy metric spaces.

scholarly journals On Common Coupled Fixed Point Theorems for Comparable Mappings in Ordered Partially Metric Spaces

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Ali Mutlu ◽  
Nermin Yolcu ◽  
Berrin Mutlu ◽  
Necdet Bildik
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Partial Metric ◽  
Common Coupled Fixed Point ◽  
Nonlinear Contraction ◽  
Partial Metric Spaces

Common coupled fixed point theorems are examined in this paper for comparable mappings ensuring nonlinear contraction in ordered partial metric spaces. Given theorems enlarge and universalize some conclusions of Gnana Bhaskar and Lakshmikantham (2006).

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