Some generalization of an abstract contraction mapping principle

DOI10.1016/0362-546X(79)90019-1zbMath0448.47038OpenAlexW2051224309MaRDI QIDQ3894515

Marian Kwapisz

Publication date: 1979

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(79)90019-1

zbMATH Keywords

monotone operatorsgeneralized contraction mappingsKannan type map

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Fixed-point theorems on manifolds (58C30) Averaging method for ordinary differential equations (34C29) Fixed points and coincidences in algebraic topology (55M20)

Related Items (5)

Axiom of infinite choice, transversal ordered spring spaces and fixed points ⋮ Nonlinear constractions in abstract spaces ⋮ A note on random fixed point theorem in probabilistic analysis ⋮ Common random fixed point theorems in probabilistic analysis ⋮ Random fixed point theorem in probabilistic analysis

Cites Work

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• Comparison principle and nonlinear contractions in abstract spaces
• On the existence and convergence of successive approximation for some functional equations in a Banach space
• Some Fixed and Common Fixed Point Theorems in Metric Spaces
• On a family of contractive maps
• On common fixed points for a family of mappings
• On common fixed point theorems
• On the approximate solutions of an abstract equation
• On Nonlinear Contractions
• On the convergence of approximate iterations for an abstract equation
• Some Remarks Concerning Contraction Mappings
• Some results on fixed points and their continuity

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