Fixed points and continuity for a pair of contractive maps with application to nonlinear Volterra integral equations

DOI10.1155/2021/9982217zbMath1486.54060OpenAlexW3195874973MaRDI QIDQ2230021

Yanyan Li

Publication date: 17 September 2021

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/9982217

zbMATH Keywords

metric spacenonlinear Volterra integral equationfixed point theoremBoyd-Wong-type contractiondiscontinuous mapping

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40) Volterra integral equations (45D05)

Related Items (4)

Some fixed point theorems for Boyd and Wong type contraction mapping in ordered partial metric spaces with an application ⋮ An efficient numerical algorithm for solving nonlinear Volterra integral equations in the reproducing kernel space ⋮ Fixed point results via real-valued function satisfying integral type rational contraction ⋮ Fixed-point theorems for \(\omega\)-\(\psi\)-interpolative Hardy-Rogers-Suzuki-type contraction in a compact quasipartial \(b\)-metric space

Cites Work

• Fixed points for cyclic \(R\)-contractions and solution of nonlinear Volterra integro-differential equations
• A remark on discontinuity at fixed point
• Fixed point theorems for discontinuous mapping
• Solutions for a class of nonlinear Volterra integral and integro-differential equation using cyclic \((\varphi,\psi,\theta)\)-contraction
• Discontinuity and fixed points
• A Generalization of Banach's Contraction Principle
• Fixed point theorems for discontinuous functions and applications
• Fixed points and continuity of contractive maps
• On Nonlinear Contractions
• Some Results on Fixed Points--II
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