scholarly journals Fixed Points in A Complex Valued Metric Space

2019 ◽  
Vol 12 (11) ◽  
pp. 1-9
Author(s):  
Faisal Al-kasasbeh ◽  
2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Marwan Amin Kutbi ◽  
Akbar Azam ◽  
Jamshaid Ahmad ◽  
Cristina Di Bari

We introduce and study the notion of common coupled fixed points for a pair of mappings in complex valued metric space and demonstrate the existence and uniqueness of the common coupled fixed points in a complete complex-valued metric space in view of diverse contractive conditions. In addition, our investigations are well supported by nontrivial examples.


2014 ◽  
Vol 2014 ◽  
pp. 1-12 ◽  
Author(s):  
Marwan Amin Kutbi ◽  
Jamshaid Ahmad ◽  
Akbar Azam ◽  
Nawab Hussain

Let(X,d)be a complex valued metric space and letS,Tbe mappings fromXto a set of all fuzzy subsets ofX. We present sufficient conditions for the existence of a commonα-fuzzy fixed point ofSandT. Our results improve and extend certain recent results in literature. Moreover, we discuss an illustrative example to highlight the realized improvements.


Complexity ◽  
2018 ◽  
Vol 2018 ◽  
pp. 1-12 ◽  
Author(s):  
Humaira ◽  
Muhammad Sarwar ◽  
G. N. V. Kishore

In this paper, using rational type contractions, common fuzzy fixed point result for Φ contractive mappings involving control functions as coefficients of contractions in the setting of complex-valued metric space is established. The derived results generalizes some result in the existing literature. To show the validity of the derived results an appropriate example and applications are also discussed.


2016 ◽  
Vol 4 (1) ◽  
pp. 75-80
Author(s):  
Harpreet Kaur ◽  
Saurabh Manro

2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
Jamshaid Ahmad ◽  
Chakkrid Klin-Eam ◽  
Akbar Azam

In this paper, we introduce the notion of multivalued contractive mappings in complex valued metric space and prove common fixed point theorems for two multivalued contractive mappings in complex valued metric spaces without using the notion of continuity. Our results improve and extend the results of Azam et al. (2011).


Filomat ◽  
2017 ◽  
Vol 31 (7) ◽  
pp. 2143-2150 ◽  
Author(s):  
P.P. Murthy ◽  
B. Fisher ◽  
R. Kewat

In this paper, we shall prove some periodic point theorems of rational inequality in complex valued metric spaces. The first result of this type was due to Sehgal[14] and his result was generalized by Guseman[5], Khanzanchi[6], Rhoades and Ray[2] and Murthy and Pathak[10].


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