Ekeland, Takahashi and Caristi principles in quasi-pseudometric spaces

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On completeness of quasi-pseudometric spaces

The notion of completeness in metric spaces and that of completing a metric space are traditionally discussed in terms of Cauchy sequences. The main reason being that this concept deals precisely with the issue of convergence of sequences in the sense that every convergent sequence is a Cauchy sequence. The paper deals with completion in a setting that avoids explicit reference to Cauchy sequen...

متن کامل

On Pseudometric Spaces 1

The terminology and notation used here have been introduced in the following articles: [9], [4], [13], [12], [10], [8], [2], [3], [1], [14], [7], [11], [5], and [6]. Let M be a metric structure, and let x, y be elements of the carrier of M . The predicate x ≈ y is defined by: (Def.1) ρ(x, y) = 0. Let M be a metric structure, and let x be an element of the carrier of M . The functor x yielding a...

متن کامل

Extensions of Minimization Theorems and Fixed Point Theorems on a Quasimetric Space

We introduce the new concepts of e-distance, e-type mapping with respect to some e-distance and S-complete quasimetric space, and prove minimization theorems, fixed point theorems, and variational principles on an S-complete quasimetric space. We also give some examples of quasimetrics, e-distances, and e-type mapping with respect to some e-distance. Our results extend, improve, and unify many ...

متن کامل

Ekeland ' S Principle in F - Type Spaces 3

We shall show that a recent version of Ekeland's principle in F-type topological spaces due to Fang from 1996 is implied by the Brezis-Browder principle on ordered sets. We give a series of equivalent formulations of Ekeland's principle in F-type topo-logical spaces, i.e. Penot's ower petal theorem, Takahashi's minimization principle and two theorems due to Oettli and Th era and show the equiva...

متن کامل

Quasicone Metric Spaces and Generalizations of Caristi Kirk's Theorem

Cone-valued lower semicontinuous maps are used to generalize Cristi-Kirik’s fixed point theorem to Cone metric spaces. The cone under consideration is assumed to be strongly minihedral and normal. First we prove such a type of fixed point theorem in compact cone metric spaces and then generalize to complete cone metric spaces. Some more general results are also obtained in quasicone metric spaces.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Topology and its Applications

سال: 2019

ISSN: 0166-8641

DOI: 10.1016/j.topol.2019.106831