Coupled Fixed Point Theorems for New Contractive Mixed Monotone Mappings and Applications to Integral Equations

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IŞIK H., Turkoglu D.

FILOMAT, cilt.28, sa.6, ss.1253-1264, 2014 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 28 Sayı: 6
  • Basım Tarihi: 2014
  • Doi Numarası: 10.2298/fil1406253i
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1253-1264
  • Anahtar Kelimeler: Coupled fixed point, mixed monotone mapping, contractive condition, partially ordered set, integral equation, PARTIALLY ORDERED SETS, METRIC-SPACES, COMPATIBLE MAPPINGS, PRINCIPLE, OPERATORS
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Gazi Üniversitesi Adresli: Hayır

Özet

The aim of this paper is to extend the results of Bhaskar and Lakshmikantham and some other authors and to prove some new coupled fixed point theorems for mappings having a mixed monotone property in a complete metric space endowed with a partial order. Our theorems can be used to investigate a large class of nonlinear problems. As an application, we discuss the existence and uniqueness for a solution of a nonlinear integral equation.