Some new fixed point theorems for single and set-valued admissible mappings in Menger PM-spaces

DOI10.1007/s13398-015-0265-zzbMath1453.54045OpenAlexW2297170032MaRDI QIDQ326739

Zhaoqi Wu, Chuan-Xi Zhu, Xiao-Zhi Zhang

Publication date: 12 October 2016

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-015-0265-z

zbMATH Keywords

fixed pointset-valued mappingMenger PM-spaceadmissible mappingsingle-valued mapping

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40) Volterra integral equations (45D05) Probabilistic metric spaces (54E70)

Related Items (6)

Some new fixed point results under constraint inequalities in comparable complete partially ordered Menger PM-spaces ⋮ Fixed point results for cyclic contractions in Menger PM-spaces and generalized Menger PM-spaces ⋮ Unnamed Item ⋮ Approximate coincidence point and common fixed point results for a hybrid pair of mappings with constraints in partially ordered Menger PM-spaces ⋮ On functions preserving regular semimetrics and quasimetrics satisfying the relaxed polygonal inequality ⋮ Fixed point results for (α,η,ψ,ξ)-contractive multi-valued mappings in Menger PM-spaces and their applications

Cites Work

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• Fixed points for modified fuzzy \(\psi\)-contractive set-valued mappings in fuzzy metric spaces
• On fixed points of \({\alpha}\)-\({\psi}\)-contractive multifunctions
• Fixed point theorems for \(\alpha\)-\(\psi\)-contractive type mappings
• Generalized \(\alpha\)-\(\psi\) contractive type mappings and related fixed point theorems with applications
• Common fixed points of strict contractions in Menger spaces
• Some new common fixed point theorems under strict contractive conditions
• Some integral type fixed point theorems in non-Archimedean Menger PM-spaces with common property (E.A) and application of functional equations in dynamic programming
• Statistical metric spaces
• Fuzzy \(\psi \)-contractive mappings in non-Archimedean fuzzy metric spaces
• Research on some problems for nonlinear operators
• Common fixed point theorems of compatible and weakly compatible maps in Menger spaces
• Some new fixed point theorems in Menger PM-spaces with application to Volterra type integral equation
• Modified \(\alpha\)-\(\psi\)-contractive mappings with applications
• Various generalizations of metric spaces and fixed point theorems
• Common fixed point theorems for two hybrid pairs of mappings satisfying the common property (E.A) in Menger PM-spaces
• Several nonlinear operator problems in the Menger PN space
• Fixed point results for single and set-valued \(\alpha\)-\(\eta\)-\(\psi\)-contractive mappings
• Common fixed point theorems under strict contractive conditions in Menger spaces
• On the theory of probabilistic metric spaces with applications
• Statistical Metrics

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