Complete metric spaces

In the paper "On the existence of fuzzy solutions for partial hyperbolic functional differential equations", we consider the boundary valued problems for fuzzy partial hyperbolic functional differential equations with local and integral boundary conditions. A new weighted metric is used to investigate the existence and uniqueness of fuzzy solutions for these problems in a complete fuzzy metric space. Our results are demonstrated in some numerical examples in which we use the same strategy as BuckleyFeuring to build fuzzy solutions from fuzzifying the deterministic solutions.

16p runordie3 27-06-2022 11 1   Download

In this paper, we investigate the existence and uniqueness of fuzzy solution for a class of general hyperbolic equations with state-dependent delays. We will prove the well-posedness of problem doesn’t depend on the domain and boundary data as well as initial data. Our method is based on Banach fixed point theorem in completely new weighted metric space.

16p tamynhan9 02-12-2020 13 0   Download

In the present paper, considering the simulation function, we give a new class of Picard operators on complete metric spaces. We also provide a nontrivial example that shows the aforementioned class properly contains some earlier such classes.

6p danhdanh27 07-01-2019 16 0   Download

In this work, inspired by the recent technique of Jleli and Samet, we give a new generalization of the wellknown Mizoguchi–Takahashi fixed point theorem, which is the closest answer to Reich’s conjecture about the existence of fixed points of multivalued mappings on complete metric spaces.

10p danhdanh27 07-01-2019 12 0   Download

In this paper, we obtain some common fixed point theorems for pairs of fuzzy mappings in left K-sequentially complete quasi-pseudo-metric spaces and right Ksequentially complete quasi-pseudo-metric spaces, respectively. Well-known theorems are special cases of our results.

12p danhdanh27 07-01-2019 36 0   Download

The Weierstrass type results of Gajek and Zagrodny are not in general retainable in the precise context. Our first aim in this exposition is to show that a completion of the imposed conditions may be offered so that these results be true. As a second aim, alternate proofs of the statements in question are performed, via ordering principles comparable with the one in Brezis and Browder.

17p danhdanh27 07-01-2019 10 0   Download

In thispaper we examine the relationship between hyperconvex hullsand metric trees. After providing a linking construction for hyperconvex spaces, we show that the four-point property isinherited by the hyperconvex hull, which leadsto the theorem that every complete metric tree is hyperconvex.

16p danhdanh27 07-01-2019 13 0   Download

Let p 1 and let (X, d, μ) be a complete metric measure space with μ Borel and doubling that admits a (1, p)-Poincar´ inequality. Then there exists e ε 0 such that (X, d, μ) admits a (1, q)-Poincar´ inequality for every q p−ε, e quantitatively. 1. Introduction Metric spaces of homogeneous type, introduced by Coifman and Weiss [7], [8], have become a standard setting for harmonic analysis related to singular integrals and Hardy spaces. Such metric spaces are often referred to as a metric measure space with a doubling measure. An advantage of working...

26p dontetvui 17-01-2013 50 5   Download

This paper is the first in a series where we describe the space of all embedded minimal surfaces of fixed genus in a fixed (but arbitrary) closed Riemannian 3-manifold. The key for understanding such surfaces is to understand the local structure in a ball and in particular the structure of an embedded minimal disk in a ball in R3 (with the flat metric). This study is undertaken here and completed in [CM6]. These local results are then applied in [CM7] where we describe the general structure of fixed genus surfaces in 3-manifolds. There are two local models for...

43p tuanloccuoi 04-01-2013 66 6   Download

We introduce a class of metric spaces which we call “bolic”. They include hyperbolic spaces, simply connected complete manifolds of nonpositive curvature, euclidean buildings, etc. We prove the Novikov conjecture on higher signatures for any discrete group which admits a proper isometric action on a “bolic”, weakly geodesic metric space of bounded geometry. 1. Introduction This work has grown out of an attempt to give a purely KK-theoretic proof of a result of A. Connes and H. Moscovici ([CM], [CGM]) that hyperbolic groups satisfy the Novikov conjecture. ...

43p tuanloccuoi 04-01-2013 34 6   Download

In this book you find the basic mathematics that is needed by engineers and university students . The author will help you to understand the meaning and function of mathematical concepts. The best way to learn it, is by doing it, the exercises in this book will help you do just that. Topics as Topological, metric, Hilbert and Banach spaces and Spectral Theory are illustrated.

78p sn_buon 29-11-2012 57 3   Download

This book is based on lectures delivered over the years by the author at the Universit´e Pierre et Marie Curie, Paris, at the University of Stuttgart, and at City University of Hong Kong. Its two-fold aim is to give thorough introductions to the basic theorems of differential geometry and to elasticity theory in curvilinear coordinates. The treatment is essentially self-contained and proofs are complete.

215p kimngan_1 06-11-2012 77 1   Download

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Fixed Point Theorems for Contractive Mappings in Complete G-Metric Spaces

10p sting10 29-02-2012 64 4   Download

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Global Attractivity Results for Mixed-Monotone Mappings in Partially Ordered Complete Metric Spaces

17p sting10 29-02-2012 35 4   Download

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Some Extensions of Banach’s Contraction Principle in Complete Cone Metric Spaces

11p sting10 29-02-2012 56 4   Download

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Some Fixed Point Theorem for Mapping on Complete G-Metric Spaces

12p sting08 20-02-2012 45 5   Download

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Fixed point theory for the cyclic weaker Meir-Keeler function in complete metric spaces

23p sting08 18-02-2012 37 3   Download

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Some Convergence Theorems of a Sequence in Complete Metric Spaces and Its Applications

10p sting08 18-02-2012 51 3   Download

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article A Kirk Type Characterization of Completeness for Partial Metric Spaces

6p sting08 18-02-2012 40 2   Download

Research Article Existence Theorems for Generalized Distance on Complete Metric Spaces

21p dauphong15 16-02-2012 39 4   Download