New existence theorems of coincidence points approach to generalizations of Mizoguchi-Takahashi's fixed point theorem

DOI10.1186/1687-1812-2012-156zbMath1469.54146OpenAlexW2154730082WikidataQ59288262 ScholiaQ59288262MaRDI QIDQ385229

Ing-Jer Lin, Tai-Hung Chen

Publication date: 2 December 2013

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1812-2012-156

zbMATH Keywords

Banach contraction principlecommon fixed point\(\tau\)-functioncoincidence point\(\tau^0\)-metricNadler's fixed point theorem\(\mathcal {MT}\)-function\(\tau^0\)-functionMizoguchi-Takahashi's fixed point theorem

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Related Items (4)

A note on Caristi-type cyclic maps: related results and applications ⋮ New existence results and generalizations for coincidence points and fixed points without global completeness ⋮ New results and generalizations for approximate fixed point property and their applications ⋮ Mizoguchi-Takahashi's type common fixed point theorems without \(T\)-weakly commuting condition and invariant approximations

Cites Work

• The existence of fixed points for new nonlinear multivalued maps and their applications
• On generalized weakly directional contractions and approximate fixed point property with applications
• Nonlinear conditions for coincidence point and fixed point theorems
• On approximate coincidence point properties and their applications to fixed point theory
• New cone fixed point theorems for nonlinear multivalued maps with their applications
• On coincidence point and fixed point theorems for nonlinear multivalued maps
• Ekeland's variational principle, minimax theorems and existence of nonconvex equilibria in complete metric spaces
• On a general class of multi-valued weakly Picard mappings
• Critical point theorems for nonlinear dynamical systems and their applications
• Coupled fixed point theorems for nonlinear contractions satisfied Mizoguchi-Takahashi's condition in quasiordered metric spaces
• Some new results and generalizations in metric fixed point theory
• Fixed point theorems for multivalued mappings on complete metric spaces
• Nonlinear contractive conditions for coupled cone fixed point theorems
• Mizoguchi-Takahashi's fixed point theorem is a real generalization of Nadler's
• On maximal element theorems, variants of Ekeland's variational principle and their applications
• Multi-valued contraction mappings
• Some problems and results in fixed point theory
• On a conjecture of S. Reich
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