On the common fixed points of a commutative family of nonlinear mappings

DOI10.1016/0362-546X(81)90068-7zbMath0448.47046MaRDI QIDQ3894520

Ricardo Torrejón

Publication date: 1981

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

zbMATH Keywords

nonexpansive retractasymptotically nonexpansive commutative familypointwise periodic mappseudo-contractive commutative family

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed points and coincidences in algebraic topology (55M20)

Cites Work

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• A fixed point theorem for families of nonexpansive mappings
• A common fixed point theorem for a commuting family of nonexpansive mappings
• Fixed-point theorems for families of contraction mappings
• Common fixed points for commuting contraction mappings
• Asymptotically nonexpansive semigroups in Banach spaces
• Uniformly Lipschitzian Families of Transformations in Banach Spaces
• NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE
• Fixed-Point Theorems for Certain Classes of Nonexpansive Mappings
• Properties of Fixed-Point Sets of Nonexpansive Mappings in Banach Spaces

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