A new approach to study fixed point of multivalued mappings in modular metric spaces and applications

DOI10.3390/MATH4030051zbMathNoneOpenAlexW2517564317WikidataQ59306856 ScholiaQ59306856MaRDI QIDQ515446

Anantachai Padcharoen, Dilip Jain, Dhananjay Gopal, Poom Kumam

Publication date: 16 March 2017

Published in: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/math4030051

zbMATH Keywords

fixed pointmodular metric spacenon-linear integral equationsmultivalued \(F\)-contractive

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25)

Related Items (10)

Unnamed Item ⋮ On a pair of fuzzy mappings in modular-like metric spaces with applications ⋮ On pairs of fuzzy dominated mappings and applications ⋮ Some fixed point theorems in regular modular metric spaces and application to Caratheodory's type anti-periodic boundary value problem ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Multivalued fixed point results for two families of mappings in modular-like metric spaces with applications ⋮ Improving KKM theory on general metric type spaces ⋮ Unnamed Item ⋮ Common fixed point theorems for several multivalued mappings on proximinal sets in regular modular space

Cites Work

• Fixed point and periodic point results for \(\alpha\)-type \(F\)-contractions in modular metric spaces
• Fixed points of multivalued contraction mappings in modular metric spaces
• Fixed point theorems for contraction mappings in modular metric spaces
• Fixed points of a new type of contractive mappings in complete metric spaces
• Fixed-point theorems for multivalued mappings in modular metric spaces
• Modular metric spaces. I: Basic concepts
• Fixed point results of pointwise contractions in modular metric spaces
• The contraction principle for mappings on a modular metric space with a graph
• Multi-valued contraction mappings
• Multi-valued F-contractions and the solutions of certain functional and integral equations

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