Fixed point theorems in generalized convex metric space and an application to the solution of Volterra integral equations

DOI10.1216/jie.2022.34.257OpenAlexW4287451043WikidataQ113751473 ScholiaQ113751473MaRDI QIDQ2168960

Chao Wang, Xueli Li

Publication date: 29 August 2022

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/jie.2022.34.257

zbMATH Keywords

fixed pointsexistence and uniqueness theoremsVolterra integral equationgeneralized convex metric spaces

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Applications of operator theory to differential and integral equations (47N20) Volterra integral equations (45D05)

Related Items (1)

Stability and convergence rate of Jungck-type iterations for a pair of strongly demicontractive mappings in Hilbert spaces

Cites Work

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• Fixed point theorems in convex metric spaces
• Convergence of an Ishikawa type iterative scheme for asymptotically quasi-nonexpansive mappings
• Common fixed points for Banach operator pairs with applications
• Convergence theorems for fixed points of uniformly quasi-Lipschitzian mappings in convex metric spaces
• Fixed point theorems in cone Banach spaces
• Convergence theorems for the unique common fixed point of a pair of asymptotically nonexpansive mappings in generalized convex metric space
• Spaces with non-positive curvature
• A convexity in metric space and nonexpansive mappings. I.
• Some fixed point results for nonlinear mappings in convex metric spaces
• Approximating common fixed points for a pair of generalized nonlinear mappings in convex metric space

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