On new existence and uniqueness results concerning solutions to nonlinear Fredholm integral equations via \(w\)-distances and weak altering distance functions

DOI10.1007/s11784-018-0646-yzbMath1489.54247OpenAlexW2904821209WikidataQ128340441 ScholiaQ128340441MaRDI QIDQ1716166

Wutiphol Sintunavarat, Teerawat Wongyat

Publication date: 29 January 2019

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-018-0646-y

zbMATH Keywords

\(w\)-distancealtering distancenonlinear Fredholm integral equationweak altering distance

Mathematics Subject Classification ID

Complete metric spaces (54E50) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40) Fredholm integral equations (45B05)

Related Items (4)

A solution to nonlinear Fredholm integral equations in the context of \(w\)-distances ⋮ Common solution to a pair of nonlinear Fredholm and Volterra integral equations and nonlinear fractional differential equations ⋮ Common fixed point results under \(w\)-distance with applications to nonlinear integral equations and nonlinear fractional differential equations ⋮ Unnamed Item

Cites Work

• A fixed point theorem for generalized contractions involving \(w\)-distances on complete quasi-metric spaces
• Fixed point and multidimensional fixed point theorems with applications to nonlinear matrix equations in terms of weak altering distance functions
• A generalisation of contraction principle in metric spaces
• The existence and uniqueness of the solution for nonlinear Fredholm and Volterra integral equations together with nonlinear fractional differential equations via \( w\)-distances
• On new evolution of Ri's result via \(w\)-distances and the study on the solution for nonlinear integral equations and fractional differential equations
• Fixed points for \((\varphi,\psi,p)\)-weakly contractive mappings in metric spaces with image-distance
• Fixed point theorems by altering distances between the points
• Unnamed Item
• Unnamed Item

This page was built for publication: On new existence and uniqueness results concerning solutions to nonlinear Fredholm integral equations via \(w\)-distances and weak altering distance functions