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CALOGERO VETRO

Fixed point theorems on ordered metric spaces and applications to nonlinear elastic beam equations

  • Authors: Jleli, M; Cojbasic Rajic, V; Samet, B; Vetro, C
  • Publication year: 2012
  • Type: Articolo in rivista (Articolo in rivista)
  • Key words: Ordered metric space, fixed point, coupled fixed point, boundary value problem, elastic beam equation.
  • OA Link: http://hdl.handle.net/10447/71015

Abstract

In this paper, we establish certain fixed point theorems in metric spaces with a partial ordering. Presented theorems extend and generalize several existing results in the literature. As application, we use the fixed point theorems obtained in this paper to study existence and uniqueness of solutions for fourth-order two-point boundary value problems for elastic beam equations.