Fixed points of modular contractive maps

DOI10.1134/S1064562412040163zbMath1262.47079OpenAlexW1980747068MaRDI QIDQ1761066

Vyacheslav V. Chistyakov

Publication date: 15 November 2012

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

Full work available at URL: https://doi.org/10.1134/s1064562412040163

zbMATH Keywords

modular spacesmodular convergencemodular contractive maps

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Applications of operator theory to differential and integral equations (47N20)

Related Items (11)

Some fixed point theorems on complex valued modular metric spaces with an application ⋮ Fixed point results of \(\beta_Y\)-Geraghty type contractive mapping in modular metric-like spaces ⋮ FIXED POINT THEOREMS WITH P-C-CONTRACTION IN PARTIALLY ORDERED MODULAR METRICS SPACES ⋮ Fixed point theorems for mappings with a contractive iterate at a point in modular metric spaces ⋮ Fixed point results for Suzuki‐type Σ‐contractions via simulation functions in modular b‐metric spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Some Fixed Point Theorems on Compact Modular Metric Spaces ⋮ Some common fixed point results for \(\mathcal{Z}_E\)-contractions in modular \(b\)-metric spaces

Cites Work

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• Orlicz spaces and modular spaces
• Covering mappings in metric spaces and fixed points
• Metric modulars and their application
• Modular metric spaces. I: Basic concepts
• Fixed point theory in modular function spaces
• Selections of Bounded Variation
• A fixed point theorem and its application to integral equations in modular function spaces

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