A coupled coincidence point theorem in partially ordered metric spaces with an implicit relation

GÜLYAZ ÖZYURT S., KARAPINAR E., Yuce I. S.

FIXED POINT THEORY AND APPLICATIONS, cilt.2013, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2013
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1186/1687-1812-2013-38
  • Dergi Adı: FIXED POINT THEORY AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: coupled coincidence point, coupled fixed point, mixed monotone property, implicit relation, ordered partial metric space, O-compatible, MIXED MONOTONE MAPPINGS, FIXED-POINT, NONLINEAR CONTRACTIONS, SETS
  • TED Üniversitesi Adresli: Evet

Özet

In this manuscript, we discuss the existence of a coupled coincidence point for mappings and , where F has the mixed g-monotone property, in the context of partially ordered metric spaces with an implicit relation. Our main theorem improves and extends various results in the literature. We also state some examples to illustrate our work.