Extensions of a fixed point theorem of Meir and Keeler

DOI10.1007/BF02384479zbMath0483.47040MaRDI QIDQ1163221

Sehie Park, Jong-Sook Bae

Publication date: 1981

Published in: Arkiv för Matematik (Search for Journal in Brave)

zbMATH Keywords

unique common fixed point(epsilon, delt)-f-contractioncontractive type fixed point theoremsf-iteration

Mathematics Subject Classification ID

Fixed-point theorems (47H10)

Related Items (14)

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 ⋮ Generalized Meir-Keeler type contractions and discontinuity at fixed point ⋮ Common random fixed points of compatible random operators ⋮ Random fixed points of random multivalued operators on polish spaces ⋮ Fixed point theorems for single-valued and multi-valued maps ⋮ A REMARK ON CONVERGENCE THEORY FOR ITERATIVE PROCESSES OF PROINOV CONTRACTION ⋮ On generalizations of the Meir-Keeler type contraction maps ⋮ Common fixed points of intuitionistic fuzzy maps for Meir-Keeler type contractions ⋮ Three fixed point theorems for generalized contractions with constants in complete metric spaces ⋮ A comparison of various noncommuting conditions in metric fixed point theory and their applications ⋮ A new continuity condition and fixed point theorems with applications ⋮ Common Fixed Points for Commuting and Compatible Maps on Compacta

Cites Work

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• Fixed points of f-contractive maps
• A theorem on contraction mappings
• Théorèmes de point fixe pour les applications contractantes et anticontractantes. (Fixed point theorems for contactive and anticontractive mappings.)
• On Fixed and Periodic Points Under Contractive Mappings
• Commuting Mappings and Fixed Points
• On Nonlinear Contractions

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