Fixed Point Theory for Closed Multifunctions
نویسنده
چکیده
In this paper some new fixed point theorems of Ky Fan, LeraySchauder and Furi-Pera type are presented for closed multifunctions. AMS Subject Classification. 47H10
منابع مشابه
Convergence of an Iterative Scheme for Multifunctions on Fuzzy Metric Spaces
Recently, Reich and Zaslavski have studied a new inexact iterative scheme for fixed points of contractive and nonexpansive multifunctions. In 2011, Aleomraninejad, et. al. generalized some of their results to Suzuki-type multifunctions. The study of iterative schemes for various classes of contractive and nonexpansive mappings is a central topic in fixed point theory. The importance of Banach ...
متن کاملA Common Fixed Point Theorem for Two Multifunctions Defined on Closed Ball
We prove a common fixed point theorem for two multifunctions defined on a closed ball of a complete metric space with values in the set of all nonempty and closed subsets of this space, multifunctions which satisfy an implicit contractive relation of Latif-Beg type.
متن کاملSome approximate fixed point results for proximinal valued $beta$-contractive multifunctions
In this paper, we prove some approximate fixed point results for proximinal valued $beta$-contractive multifunctions on metric spaces. We show that our results generalize some old fixed point results in the literature.
متن کاملSome Fixed Point Results on Intuitionistic Fuzzy Metric Spaces with a Graph
In 2006, Espinola and Kirk made a useful contribution on combining fixed point theoryand graph theory. Recently, Reich and Zaslavski studied a new inexact iterative scheme for fixed points of contractive and nonexpansive multifunctions. In this paper, by using the main idea of their work and the idea of combining fixed point theory on intuitionistic fuzzy metric spaces and graph theory, ...
متن کاملMeasures of Noncircularity and Fixed Points of Contractive Multifunctions
In analogy to the Eisenfeld-Lakshmikanthammeasure of nonconvexity and theHausdorffmeasure of noncompactness, we introduce two mutually equivalent measures of noncircularity for Banach spaces satisfying a Cantor type property, and apply them to establish a fixed point theorem of Darbo type for multifunctions. Namely, we prove that every multifunction with closed values, defined on a closed set a...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1998