A solution to nonlinear Fredholm integral equations in the context of \(w\)-distances

DOI10.1186/s13662-021-03549-9zbMath1494.45001OpenAlexW3196383763MaRDI QIDQ2167158

Yanyan Li

Publication date: 25 August 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-021-03549-9

zbMATH Keywords

fixed points\(w\)-distancenonlinear Fredholm integral equationsbest proximity pointssimulation functions

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) Fredholm integral equations (45B05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Best approximation and variational inequality problems involving a simulation function
• Contractive multivalued maps in terms of \(Q\)-functions on complete quasimetric spaces
• Best proximity point results in partially ordered metric spaces via simulation functions
• Fixed point theory for the cyclic weaker Meir-Keeler function in complete metric spaces
• Best proximity points: approximation and optimization in partially ordered metric spaces
• A best proximity point theorem for weakly contractive non-self-mappings
• Existence and convergence of best proximity points
• Convergence and existence results for best proximity points
• The existence and uniqueness of the solution for nonlinear Fredholm and Volterra integral equations together with nonlinear fractional differential equations via \( w\)-distances
• An approach to best proximity points results via simulation functions
• On new evolution of Ri's result via \(w\)-distances and the study on the solution for nonlinear integral equations and fractional differential equations
• On new existence and uniqueness results concerning solutions to nonlinear Fredholm integral equations via \(w\)-distances and weak altering distance functions
• Discrete optimization in partially ordered sets
• Best proximity pair theorems for multifunctions with open fibres
• Some fixed point theorems using weaker Meir-Keeler function in metric spaces with \(w\)-distance
• Revisiting Bianchini and Grandolfi theorem in the context of modified \(\omega\)-distances
• Applications of graph Kannan mappings to the damped spring-mass system and deformation of an elastic beam
• Best proximity points involving simulation functions with \(w_0\)-distance
• Simulation functions: a survey of recent results
• An application of the \(w\)-weak generalized contractions theorem
• On existence of equilibrium pair for constrained generalized games
• An alternative and easy approach to fixed point results via simulation functions
• Fixed points for \((\varphi,\psi,p)\)-weakly contractive mappings in metric spaces with image-distance
• A novel approach of graphical rectangular $b$-metric spaces with an application to the vibrations of a vertical heavy hanging cable
• Fixed point theorems by altering distances between the points
• Proximinal Retracts and Best Proximity Pair Theorems
• Interpolative Rus-Reich-Ćirić Type Contractions via Simulation Functions
• Simulation type functions and coincidence points
• A new approach to the study of fixed point theory for simulation functions
• Fixed points results via simulation functions
• BEST PROXIMITY POINTS AND FIXED POINTS WITH -FUNCTIONS IN THE FRAMEWORK OF -DISTANCES
• A bilateral contraction via simulation function
• A solution to nonlinear Volterra integro-dynamic equations via fixed point theory

This page was built for publication: A solution to nonlinear Fredholm integral equations in the context of \(w\)-distances