A New Approach to Fuzzy Partial Metric Spaces

نویسندگان

چکیده

In this study, we aim to introduce the notion of fuzzy partial metric spaces which is a generalization crisp in fuzzifying view with distance between ordinary points. For aim, first present concept by considering as non-negative, upper semi-continuous, normal and convex numbers giving examples. We obtain some useful inequalities under restrictions spaces. Then discuss relationships other structures point out Banach's fixed theorem an application proposed properties relations. Finally, show that induce $\alpha$-level topology, Lowen topology.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود 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

A New Approach to Caristi's Fixed Point Theorem on Non-Archimedean Fuzzy Metric Spaces

In the present paper, we give a new approach to Caristi's fixed pointtheorem on non-Archimedean fuzzy metric spaces. For this we define anordinary metric $d$ using the non-Archimedean fuzzy metric $M$ on a nonemptyset $X$ and we establish some relationship between $(X,d)$ and $(X,M,ast )$%. Hence, we prove our result by considering the original Caristi's fixedpoint theorem.

متن کامل

FORMAL BALLS IN FUZZY PARTIAL METRIC SPACES

In this paper, the poset $BX$ of formal balls is studied in fuzzy partial metric space $(X,p,*)$. We introduce the notion of layered complete fuzzy partial metric space and get that the poset $BX$ of formal balls is a dcpo if and only if $(X,p,*)$ is layered complete fuzzy partial metric space.

متن کامل

a new approach to caristi's fixed point theorem on non-archimedean fuzzy metric spaces

in the present paper, we give a new approach to caristi's fixed pointtheorem on non-archimedean fuzzy metric spaces. for this we define anordinary metric $d$ using the non-archimedean fuzzy metric $m$ on a nonemptyset $x$ and we establish some relationship between $(x,d)$ and $(x,m,ast )$%. hence, we prove our result by considering the original caristi's fixedpoint theorem.

متن کامل

FUZZY FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS IN PARTIALLY ORDERED METRIC SPACES

In this paper, we consider fuzzy fractional partial differential equations under Caputo generalized Hukuhara differentiability. Some new results on the existence and uniqueness of two types of fuzzy solutions are studied via  weakly contractive mapping in the partially ordered metric space. Some application examples are presented to illustrate our main results.

متن کامل

A New Approach to Function Spaces on Quasi-Metric Spaces

A d-space X = (X, %, μ) is a compact set X with respect to a quasi-metric % and a Borel measure μ such that the measure of a ball of radius r is equivalent to r, where d > 0. The paper deals with spaces B p(X;H) of Besov type where 1 < p < ∞ and s ∈ R. Here H is a bi-Lipschitzian map of the snowflaked version (X, %, μ) of X for some 0 < ε < 1, onto a fractal d/ε-set Γ = HX in some R, reducing t...

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: Hacettepe journal of mathematics and statistics

سال: 2022

ISSN: ['1303-5010']

DOI: https://doi.org/10.15672/hujms.1115381