On generalizations of the Meir-Keeler type contraction maps

DOI10.1016/0022-247X(90)90318-AzbMath0711.54028MaRDI QIDQ923414

Sehie Park, Kwon Bai Moon, Billy E. Rhoades

Publication date: 1990

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

fixed pointgeneralized contractionsMeir-Keeler type generalized contractive condition

Mathematics Subject Classification ID

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

Related Items (13)

Fixed point theorems for noncompatible, discontinuous hybrid pairs of mappings on 2-metric spaces ⋮ Common fixed point theorems for variants of R-weakly commuting mappings in topologically complete Tychonoff (uniform) spaces ⋮ Endpoints of set-valued dynamical systems of asymptotic contractions of Meir-Keeler type and strict contractions in uniform spaces ⋮ Unnamed Item ⋮ The uniqueness of endpoints for set-valued dynamical systems of contractions of Meir-Keeler type in uniform spaces ⋮ Fixed points of multifunctions on regular cone metric spaces ⋮ New types of common fixed point theorems in 2-metric spaces ⋮ Common fixed points of generalized Meir-Keeler \(\alpha\)-contractions ⋮ \(\phi\)-fixed point results for nonlinear contractions with an application ⋮ Survey on Metric Fixed Point Theory and Applications ⋮ Common fixed points of intuitionistic fuzzy maps for Meir-Keeler type contractions ⋮ Common fixed points for weakly compatible maps ⋮ Common fixed point theorems for contractive maps

Cites Work

• Some maps on unique common fixed points
• Common fixed points of two pairs of commuting mappings
• Generalizations of fixed point theorems of Meir and Keeler type
• Mappings on metric spaces
• Extensions of a fixed point theorem of Meir and Keeler
• Common fixed points of some nonlinear mappings
• On common fixed point theorems of continuous mappings
• Compatible mapping and common fixed points
• A theorem on contraction mappings
• Common Fixed Points of Pairwise Commuting Mappings
• Some fixed point theorems for commuting mappings
• Some Fixed and Common Fixed Point Theorems in Metric Spaces
• On common fixed points of mappings
• A Comparison of Various Definitions of Contractive Mappings
• On Nonlinear Contractions
• Some Results on Fixed Points--II
• Some Remarks Concerning Contraction Mappings
• Some results on fixed points and their continuity
• A Generalization of a Fixed Point Theorem of Reich
• A fixed point theorem
• Fixed point theorems in metric spaces
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