A new approach to fixed point theorems for multivalued contractive maps


Minak G., OLGUN M., ALTUN İ.

CARPATHIAN JOURNAL OF MATHEMATICS, cilt.31, sa.2, ss.241-248, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 31 Sayı: 2
  • Basım Tarihi: 2015
  • Dergi Adı: CARPATHIAN JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.241-248
  • Anahtar Kelimeler: Fixed point, Multivalued maps, F-contraction, complete metric space, MAPPINGS
  • Ankara Üniversitesi Adresli: Evet

Özet

In the present paper, considering the Wardowski's technique we give many fixed point results for multivalued maps on complete metric space without using the Hausdorff metric. Our results are real generalization of some related fixed point theorems including the famous Feng and Liu's result in the literature. We also give some examples to both illustrate and show that our results are proper generalizations of the mentioned theorems.