Generalization of Darbos fixed point theorem via SRμ-contractions with application to integral equations

DOI10.2298/FIL1801055ZzbMath1484.47133OpenAlexW2801445244MaRDI QIDQ5012824

Farzad Zarinfar, Mansour Vaezpour, Farshid Khojasteh

Publication date: 25 November 2021

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1801055z

zbMATH Keywords

fixed pointmeasure of non-compactnessDarbo's theorem\(R\)-function\(SR_\mu\)-contraction\(SR\)-function

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Applications of operator theory to differential and integral equations (47N20) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Related Items (1)

Some classes of Meir-Keeler contractions

Cites Work

• Some generalizations of Darbo's theorem and applications to fractional integral equations
• Coincidence point theorems on metric spaces via simulation functions
• Generalizations of Darbo's fixed point theorem via simulation functions with application to functional integral equations
• An approach to best proximity points results via simulation functions
• New fixed point theorem under \(R\)-contractions
• Fixed-point theorem for asymptotic contractions of Meir--Keeler type in complete metric spaces
• A theorem on contraction mappings
• A new approach to the study of fixed point theory for simulation functions
• Fixed points results via simulation functions
• A generalized Banach contraction principle that characterizes metric completeness
• On characterizations of Meir-Keeler contractive maps

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