scholarly journals Common fixed point results involving contractive condition of integral type in complex valued metric spaces

2016 ◽  
Vol 09 (05) ◽  
pp. 2900-2913 ◽  
Author(s):  
Mian Bahadur Zada ◽  
Muhammad Sarwar ◽  
Nasir Rahman ◽  
Muhammad Imdad
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Spaces ◽  
Contractive Condition ◽  
Integral Type ◽  
Complex Valued

Some Common Fixed Point Theorem in Complete Metric Space of Integral Type

2018 ◽  
Vol 6 (8) ◽  
pp. 297
Author(s):  
Jagdish C. Chaudhary ◽  
Shailesh T. Patel
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Complete Metric Space ◽  
Contractive Condition ◽  
Integral Type ◽  
Complete Metric Spaces ◽  
Common Fixed Point Theorems ◽  
Common Fixed Point Theorem

In this paper, we prove some common fixed point theorems in complete metric spaces for self mapping satisfying a contractive condition of Integral  type.

scholarly journals A common fixed point result by altering distances involving a contractive condition of integral type in partial metric spaces

2013 ◽  
Vol 46 (2) ◽  
Author(s):  
Hassen Aydi
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Spaces ◽  
Contractive Condition ◽  
Partial Metric ◽  
Integral Type ◽  
Partial Metric Spaces ◽  
Common Fixed Point Theorem

AbstractIn this paper, we present a common fixed point theorem by altering distances for a contractive condition of integral type in partial metric spaces.

scholarly journals Rational Type Compatible Single-Valued Mappings via Unique Common Fixed Point Findings in Complex-Valued b-Metric Spaces with an Application

2021 ◽  
Vol 2021 ◽  
pp. 1-14
Author(s):  
Shahid Mehmood ◽  
Saif Ur Rehman ◽  
Naeem Jan ◽  
Mabrook Al-Rakhami ◽  
Abdu Gumaei
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Spaces ◽  
Continuous Functions ◽  
Integral Type ◽  
Common Solution ◽  
Main Work ◽  
Complex Valued ◽  
Rational Type ◽  
Unique Common Fixed Point

In this paper, we establish some new generalized rational type common fixed point results for compatible three self-mappings in complex-valued b-metric space, in which a one self-map is continuous. In support of our results, we present some illustrative examples to verify the validity of our main work. Moreover, we present the application of two Urysohn integral type equations (UITEs) for the existence of a common solution to support our work. The UITEs are v 1 p = ∫ k 1 k 2 Q 1 p , r , v 1 r d r + ℏ 1 p and v 2 p = ∫ k 1 k 2 Q 2 p , r , v 2 r d r + ℏ 2 p , where p ∈ k 1 , k 2 , v 1 , v 2 , ℏ 1 , ℏ 2 ∈ V , where V = C k 1 , k 2 , ℝ n is the set of all real-valued continuous functions defined on k 1 , k 2 and Q 1 , Q 2 : k 1 , k 2 × k 1 , k 2 × ℝ n ⟶ ℝ n .

scholarly journals Common Fixed Point Results for Fuzzy Mappings on Complex-Valued Metric Spaces with Homotopy Results

Symmetry ◽  
2019 ◽  
Vol 11 (1) ◽  
pp. 61 ◽  
Author(s):  
Humaira ◽  
Muhammad Sarwar ◽  
Poom Kumam
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Metric Spaces ◽  
Contractive Condition ◽  
Rational Expression ◽  
Complex Valued Metric Space ◽  
Homotopy Result ◽  
Complex Valued

Owing to the notion of a complex-valued metric space, we prove fixed point results, which generalize some common fixed point results under contractive condition for rational expression in the context of complex-valued metric spaces. In application, we present a homotopy result to apply the results obtained herein.

scholarly journals Common fixed point results in complex valued metric spaces with application to integral equations

Filomat ◽  
2014 ◽  
Vol 28 (7) ◽  
pp. 1363-1380 ◽  
Author(s):  
N. Hussain ◽  
Akbar Azam ◽  
Jamshaid Ahmad ◽  
Muhammad Arshad
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Integral Equations ◽  
Metric Space ◽  
Metric Spaces ◽  
Contractive Condition ◽  
Complex Valued Metric Space ◽  
Complex Valued

In this paper, common fixed point of six mappings satisfying a contractive condition involving rational inequality in the framework of complex valued metric space are obtained. Moreover, some examples and applications to integral equations are given here to illustrate the usability of the obtained results.

scholarly journals Gregus-Type Common Fixed Point Theorems for Tangential Multivalued Mappings of Integral Type in Metric Spaces

2011 ◽  
Vol 2011 ◽  
pp. 1-12 ◽  
Author(s):  
W. Sintunavarat ◽  
P. Kumam
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Multivalued Mappings ◽  
Contractive Condition ◽  
Integral Type ◽  
Common Fixed Point Theorems ◽  
Common Fixed Point Theorem

The concept of tangential for single-valued mappings is extended to multivalued mappings and used to prove the existence of a common fixed point theorem of Gregus type for four mappings satisfying a strict general contractive condition of integral type. Consequently, several known fixed point results generalized and improved the corresponding recent result of Pathak and Shahzad (2009) and many authors.

scholarly journals Some Common Fixed Point Results for Rational Type Contraction Mappings in Complex Valued Metric Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Sumit Chandok ◽  
Deepak Kumar
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Contractive Condition ◽  
Weakly Compatible ◽  
Complex Valued ◽  
Common Fixed Point Theorems ◽  
Rational Type ◽  
Type Contraction

We prove some common fixed point theorems for two pairs of weakly compatible mappings satisfying a rational type contractive condition in the framework of complex valued metric spaces. The proved results generalize and extend some of the known results in the literature.

Sign in / Sign up

Export Citation Format

Share Document