MULTIVALUED TYPES OF KRASNOSELSKII'S FIXED POINT THEOREM FOR WEAK TOPOLOGY

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Atıf İçin Kopyala

Temel C.

UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, cilt.81, sa.2, ss.139-148, 2019 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 81 Sayı: 2
• Basım Tarihi: 2019
• Dergi Adı: UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.139-148
• Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

In this paper, we aim to prove some new results of Krasnoselskii's fixed point theorem for multivalued operators under weak topology acting in Banach spaces. In particular, the existence of fixed points of multivalued operator L+S is discussed, where L is based on the generalized D-Lipschitzian, S has weakly sequentially closed graph, and I - L may not be injective.