Fixed point theorems in \(R\)-metric spaces with applications

DOI10.3934/math.2020201zbMath1484.47116OpenAlexW3013910596MaRDI QIDQ2129939

Hamidreza Rahimi, Siamak Khalehoghli, Madjid Eshaghi-Gordji

Publication date: 25 April 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2020201

zbMATH Keywords

fixed pointfractional integral equations\(R\)-metric spacesstrong \(R\)-compact metric spaces

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items (13)

Single and multivalued maps on parametric metric spaces endowed with an equivalence relation ⋮ R-convexity in R-vector spaces ⋮ Solution of integral equations via coupled fixed point theorems in \(\mathfrak{F}\)-complete metric spaces ⋮ Existence and uniqueness of common fixed point on complex partial \(b\)-metric space ⋮ Solving differential equation via orthogonal Branciari metric spaces ⋮ Solving an integral equation via generalized controlled fuzzy metrics ⋮ Existence and stability of solution for a nonlinear Volterra integral equation with binary relation via fixed point results ⋮ Unnamed Item ⋮ Fixed Point Results in Orthogonal Modular Metric Spaces ⋮ Unnamed Item ⋮ On \(\mathfrak{R}\)-partial \(b\)-metric spaces and related fixed point results with applications ⋮ Some new aspects of metric fixed point theory ⋮ \(R\)-topological spaces and \textit{SR}-topological spaces with their applications

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