On the Suzuki Nonexpansive-type Mappings

  • ANNA BETIUK-PILARSKA, ANDRZEJ WIŚNICKI
  • Published 2013

Abstract

It is shown that if C is a nonempty convex and weakly compact subset of a Banach space X with M(X) > 1 and T : C → C satisfies condition (C) or is continuous and satisfies condition (Cλ) for some λ ∈ (0, 1), then T has a fixed point. In particular, our theorem holds for uniformly nonsquare Banach spaces. A similar statement is proved for nearly uniformly… (More)

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