Multivariate generalized Meir–Keeler condensing operators and their applications to systems of integral equations

2020 ◽  
Vol 22 (4) ◽  
Author(s):  
Behnam Matani ◽  
Jamal Rezaei Roshan
Keyword(s):  
Integral Equations ◽  
Systems Of Integral Equations ◽  
Condensing Operators

Simulation functions and Meir–Keeler condensing operators with application to integral equations

2021 ◽  
Author(s):  
Moosa Gabeleh ◽  
Mehdi Asadi ◽  
Pradip Ramesh Patle
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Banach Spaces ◽  
Integral Equations ◽  
Point Theorem ◽  
Darbo’S Fixed Point Theorem ◽  
Simulation Functions ◽  
Condensing Operators

We propose a new concept of condensing operators by using a notion of measure of non-compactness in the setting of Banach spaces and establish a new generalization of Darbo’s fixed point theorem. We also show the applicability of our results to integral equations. A concrete example will be presented to support the application part.

scholarly journals Sufficient conditions to solve two systems of integral equations via fixed point results

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Tahair Rasham ◽  
Abdullah Shoaib ◽  
Giuseppe Marino ◽  
Badriah A. S. Alamri ◽  
Muhammad Arshad
Keyword(s):  
Fixed Point ◽  
Integral Equations ◽  
Sufficient Conditions ◽  
Two Systems ◽  
Systems Of Integral Equations
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