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, vol.3, no.2, pp.326-336, 2018 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 3 Issue: 2
  • Publication Date: 2018
  • Doi Number: 10.15352/aot.1704-1153
  • Journal Name: ADVANCES IN OPERATOR THEORY
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.326-336
  • Keywords: Fixed point, measure of noncompactness, evolution inclusion
  • Yıldız Technical University Affiliated: Yes

Abstract

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.