ON DIFFERENT TYPE OF FIXED POINT THEOREM FOR MULTIVALUED MAPPINGS VIA MEASURE OF NONCOMPACTNESS

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BOUZARA N. E. H., KARAKAYA V.

ADVANCES IN OPERATOR THEORY, cilt.3, sa.2, ss.326-336, 2018 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 3 Sayı: 2
  • Basım Tarihi: 2018
  • Doi Numarası: 10.15352/aot.1704-1153
  • Dergi Adı: ADVANCES IN OPERATOR THEORY
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.326-336
  • Anahtar Kelimeler: Fixed point, measure of noncompactness, evolution inclusion
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

In this paper by using the measure of noncompactness concept, we present new fixed point theorems for multivalued maps. In further we introduce a new class of mappings which are general than Meir-Keeler mappings. Finally, we use these results to investigate the existence of weak solutions to an Evolution differential inclusion with lack of compactness.