Quasi-contractive Mappings in Fuzzy Metric Spaces

نویسندگان

  • A. Amini-Harandi Department of Mathematics, University of Isfahan, Isfahan, 81745- 163, Iran
  • D. Mihet West University of Timisoara, Faculty of Mathematics and Computer Science, Bv. V. Parvan 4, 300223, Timisoara, Romania
چکیده مقاله:

We consider the concept of fuzzy quasi-contractions initiated by '{C}iri'{c} in the setting of fuzzy metric spaces and establish fixed point theorems for quasi-contractive mappings and for fuzzy $mathcal{H}$-contractive mappings on M-complete fuzzy metric spaces in the sense of George and Veeramani.The results are illustrated by a representative example.

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

quasi-contractive mappings in fuzzy metric spaces

we consider the concept of fuzzy quasi-contractions initiated by '{c}iri'{c} in the setting of fuzzy metric spaces and establish fixed point theorems for quasi-contractive mappings and for fuzzy $mathcal{h}$-contractive mappings on m-complete fuzzy metric spaces in the sense of george and veeramani.the results are illustrated by a representative example.

متن کامل

Quasi-Contractive Mappings in Modular Metric Spaces

In this paper, we prove the existence and uniqueness of fixed points of quasi-contractive mappings in modular metric spaces which develop the theory of metric spaces generated by modulars. Throughout the paper X is a nonempty set and λ > 0. The notion of a metric modular was introduced by Chistyakov 1 as follows. Definition 1.1. A function ω : 0,∞ ×X ×X → 0,∞ is said to be a metric modular on X...

متن کامل

Implicit Contractive Mappings in Modular Metric and Fuzzy Metric Spaces

The notion of modular metric spaces being a natural generalization of classical modulars over linear spaces like Lebesgue, Orlicz, Musielak-Orlicz, Lorentz, Orlicz-Lorentz, and Calderon-Lozanovskii spaces was recently introduced. In this paper we investigate the existence of fixed points of generalized α-admissible modular contractive mappings in modular metric spaces. As applications, we deriv...

متن کامل

A note on fuzzy contractive mappings in fuzzy metric spaces

Definition 1.1 (see [1]). A triple (X ,M,∗), where X is an arbitrary set, ∗ is a continuous t-norm, andM is a fuzzy set on X2× (0,∞), is said to be a fuzzy metric space (in the sense of George and Veeramani) if the following conditions are satisfied for all x, y ∈ X and s, t > 0: (GV-1) M(x, y, t) > 0; (GV-2) M(x, y, t)= 1 if and only if x = y; (GV-3) M(x, y, t)=M(y,x, t); (GV-4) M(x, y,·) is c...

متن کامل

Fixed Points of Fuzzy Generalized Contractive Mappings in Fuzzy Metric Spaces

In this paper, we introduce a new concept of fuzzy generalizedcontraction and give a fixed point result for such mappings in the setting of fuzzy M-complete metric spaces. We also give an affirmative partial answer to a question posed by Wardowski [D. Wardowski, Fuzzy contractive mappings and fixed points in fuzzy metric spaces, Fuzzy Set Syst., {bf 222}(2013), 108-114].Some examples are also g...

متن کامل

Fixed point theorems for fuzzy mappings in quasi-metric spaces

In this paper we prove common fixed point theorems for a class of fuzzy mappings in Smyth-complete quasi-metric spaces. Well-known theorems are special case of our results.

متن کامل

منابع من

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

ذخیره در منابع من قبلا به منابع من ذحیره شده

{@ msg_add @}


عنوان ژورنال

دوره 12  شماره 4

صفحات  147- 153

تاریخ انتشار 2015-08-30

با دنبال کردن یک ژورنال هنگامی که شماره جدید این ژورنال منتشر می شود به شما از طریق ایمیل اطلاع داده می شود.

میزبانی شده توسط پلتفرم ابری doprax.com

copyright © 2015-2023