منابع مشابه
Some new asymptotic fixed point theorems.
For a continuous self mapping f of a locally convex topological vector space which is locally compact (i.e., f maps a neighborhood of each point into a relatively compact set), it is shown that a sufficient condition for the existence of a fixed point is the existence of a compact attractor K(0) such that each orbit under f has a point of K(0) in its closure. The proof is based upon the circle ...
متن کاملSome New Fixed Point Theorems in Fuzzy Metric Spaces
Motivated by Samet et al. [Nonlinear Anal., 75(4) (2012), 2154-2165], we introduce the notions of $alpha$-$phi$-fuzzy contractive mapping and $beta$-$psi$-fuzzy contractive mapping and prove two theorems which ensure the existence and uniqueness of a fixed point for these two types of mappings. The presented theorems extend, generalize and improve the corresponding results given in the literature.
متن کاملSome Fixed Point Theorems
Introduction. We wish to summarize here some new asymptotic fixed point theorems. By an asymptotic fixed point theorem we mean roughly a theorem in functional analysis in which the existence of fixed points of a map ƒ is proved with the aid of assumptions on the iterates f of ƒ. Such theorems have proved of use in the theory of ordinary and functional differential equations (see [7], [8], [9] a...
متن کاملsome new fixed point theorems in fuzzy metric spaces
motivated by samet et al. [nonlinear anal., 75(4) (2012), 2154-2165], we introduce the notions of $alpha$-$phi$-fuzzy contractive mapping and $beta$-$psi$-fuzzy contractive mapping and prove two theorems which ensure the existence and uniqueness of a fixed point for these two types of mappings. the presented theorems extend, generalize and improve the corresponding results given in the literature.
متن کاملSome new fixed point theorems in generalized probabilistic metric spaces
In this paper, we introduced the notion of α-ψ-type contractive mapping in PGM-spaces and established some new fixed point theorems in complete PGM-spaces. Finally, an example is given to support our main results. c ©2016 All rights reserved.
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ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 1974
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.71.7.2734