Rational Type Inequality with Applications to Voltera–Hammerstein Nonlinear Integral Equations
-
Muhammad Sarwar
,
Mian Bahadur Zada
and
Stojan Radenović
Abstract
The aim of this work is to establish fixed point theorems under rational type contractions in the framework of complex-valued metric spaces. These theorems extend and generalize some prominent results in the present literature. Furthermore, as an application the existence result is given for the system of Volterra–Hammerstein non-linear integral equations.
Acknowledgements
The authors are grateful to the editor and reviewers for theirs valuable comments and remarks, which helped to improve this manuscript.
References
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Articles in the same Issue
- Frontmatter
- Original Research Articles
- Discrete-Time Fractional Order SIR Epidemic Model with Saturated Treatment Function
- Lyapunov Stability of a Fractionally Damped Oscillator with Linear (Anti-)Damping
- Stability and Synchronization of a Fractional Neutral Higher-Order Neural Network System
- Adaptive Synchronization of Time-Delay Chaotic Systems with Intermittent Control
- Rational Type Inequality with Applications to Voltera–Hammerstein Nonlinear Integral Equations
- Numerical Study of the Movement of Water Surface of Dam Break Flow by VOF Methods for Various Obstacles
- Measure-Valued Solutions to a Non-Strictly Hyperbolic System with Delta-Type Riemann Initial Data
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Articles in the same Issue
- Frontmatter
- Original Research Articles
- Discrete-Time Fractional Order SIR Epidemic Model with Saturated Treatment Function
- Lyapunov Stability of a Fractionally Damped Oscillator with Linear (Anti-)Damping
- Stability and Synchronization of a Fractional Neutral Higher-Order Neural Network System
- Adaptive Synchronization of Time-Delay Chaotic Systems with Intermittent Control
- Rational Type Inequality with Applications to Voltera–Hammerstein Nonlinear Integral Equations
- Numerical Study of the Movement of Water Surface of Dam Break Flow by VOF Methods for Various Obstacles
- Measure-Valued Solutions to a Non-Strictly Hyperbolic System with Delta-Type Riemann Initial Data
- Erratum
- A Class of Exact Solution of (3+1)-Dimensional Generalized Shallow Water Equation System
- Corrigendum
- Almost Periodic Solution in a Lotka–Volterra Recurrent Neural Networks with Time-Varying Delays
