Closed, continuous images of complete metric spaces
نویسندگان
چکیده
منابع مشابه
Continuous Images of Closed Sets in Generalized Baire Spaces
Let κ be an uncountable cardinal with κ = κ<κ. Given a cardinal μ, we equip the set κμ consisting of all functions from κ to μ with the topology whose basic open sets consist of all extensions of partial functions of cardinality less than κ. We prove results that allow us to separate several classes of subsets of κκ that consist of continuous images of closed subsets of spaces of the form κμ. I...
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The well-known Banach’s fixed point theorem asserts that ifD X, f is contractive and X, d is complete, then f has a unique fixed point inX. It is well known that the Banach contraction principle 1 is a very useful and classical tool in nonlinear analysis. In 1969, Boyd and Wong 2 introduced the notion ofΦ-contraction. A mapping f : X → X on a metric space is called Φ-contraction if there exists...
متن کاملGeneralized multivalued $F$-weak contractions on complete metric spaces
In this paper, we introduce the notion of generalized multivalued $F$- weak contraction and we prove some fixed point theorems related to introduced contraction for multivalued mapping in complete metric spaces. Our results extend and improve the results announced by many others with less hypothesis. Also, we give some illustrative examples.
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ژورنال
عنوان ژورنال: Fundamenta Mathematicae
سال: 1973
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm-80-1-47-50