Một số định lý điểm cố định trong không gian p-convex cục bộ

Springer Science and Business Media LLC - Tập 2013 Số 1 - 2013
Leila Gholizadeh1, Erdal Karapınar2, Mehdi Roohi3
1Department of Mathematics, Islamic Azad University–Sari Branch, Sari, Iran
2Department of Mathematics, Atilim University, Incek, Ankara, 06836, Turkey
3Department of Mathematics, Faculty of Sciences, Golestan University, P.O. Box. 155, Gorgan, Iran

Tóm tắt

Tóm tắt Trong bài báo này, chúng tôi nghiên cứu sự tồn tại của một điểm cố định của các ánh xạ đa trị trên các tập hợp gần như p-convex và p-convex trong không gian vector tôpô. Các kết quả của chúng tôi mở rộng và tổng quát một số định lý về điểm cố định trong tài liệu, chẳng hạn như các kết quả của Himmelberg, Fan và Glicksberg. MSC: 46T99, 47H10, 54H25, 54E50, 55M20, 37C25.

Từ khóa


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