GENERALIZED COUPLED FIXED POINT RESULTS FOR RATIONAL TYPE CONTRACTIONS IN COMPLEX VALUED METRIC SPACES

2017 ◽  
Vol 11 (3) ◽  
pp. 197-206
Author(s):  
U. Karuppiah ◽  
M. Gunaseelan
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Complex Valued ◽  
Rational Type

scholarly journals Fixed Point Results Satisfying Rational Type Contractive Conditions in Complex Valued Metric Spaces

2016 ◽  
Vol 30 (1) ◽  
pp. 89-110
Author(s):  
Poom Kumam ◽  
Muhammad Sarwar ◽  
Mian Bahadur Zada
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Complex Valued ◽  
Rational Type

AbstractThe aim of this manuscript is to establish fixed point results satisfying contractive conditions of rational type in the setting of complex valued metric spaces. The derived results generalize and extend some well known results in the existing literature.

scholarly journals Solving a Class of Integral Equations via Contractive Mapping with Rational Type

2020 ◽  
Vol 13 (4) ◽  
pp. 995-1015
Author(s):  
Abdullah Abdullah ◽  
Muhammad Sarwar ◽  
Zead Mustafa ◽  
Mohammed M.M. Jaradat
Keyword(s):  
Integral Equation ◽  
Fixed Point ◽  
Integral Equations ◽  
Existence And Uniqueness ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Contractive Mapping ◽  
Coupled Fixed Point Theorem ◽  
Set Up ◽  
Rational Type

In this paper, using rational type contractive conditions, the existence and uniqueness of common coupled fixed point theorem in the set up of Gb-metric spaces is studied. The derived result cover and generalize some well-known comparable results in the existing literature. Then we use the derived results to prove the existence and uniqueness solution for some classes of integral equations. Further more, an example of such type of integral equation is presented.

Coupled fixed point theorems in complex valued metric spaces

2013 ◽  
Vol 7 ◽  
pp. 2269-2277 ◽  
Author(s):  
Shin Min Kang ◽  
Manoj Kumar ◽  
Pankaj Kumar ◽  
Sanjay Kumar
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Complex Valued

scholarly journals Fixed Point Results Satisfying Rational Type Contractive Conditions in Complex Valued Metric Spaces – Revisited

2017 ◽  
Vol 31 (1) ◽  
pp. 173-185
Author(s):  
Mian Bahadur Zada ◽  
Muhammad Sarwar
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Complex Valued ◽  
Rational Type ◽  
Made In

Abstract In our previous work titled “Fixed Point Results Satisfying Rational type Contractive Conditions in Complex Valued Metric Spaces”[Ann. Math. Sil. 30 (2016), 89-110], some errors has been made in the main results (Theorem 3.1, Theorem 3.7 and Theorem 3.22), that may misguide the readers. This note provides corrections of these errors.

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