A NEW APPROACH TO MIZOGUCHI-TAKAHASHI TYPE FIXED POINT THEOREMS


OLGUN M., Minak G., ALTUN İ.

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, cilt.17, sa.3, ss.579-587, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 17 Sayı: 3
  • Basım Tarihi: 2016
  • Dergi Adı: JOURNAL OF NONLINEAR AND CONVEX ANALYSIS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.579-587
  • Anahtar Kelimeler: Fixed point, multivalued mappings, Mizoguchi-Takahasi theorem, F-contraction, CONTRACTIVE MAPPINGS
  • Ankara Üniversitesi Adresli: Evet

Özet

In the present paper, we give a generalization of Mizoguchi-Takahashi's fixed point theorem, which is a partial solution of Reich's original problem concerning multivalued mappings on complete metric spaces.