On set-valued contractions of Nadler type in tυs-G-cone metric spaces
نویسنده
چکیده
Correspondence: [email protected]. edu.tw Department of Applied Mathematics, National Hsinchu University of Education, No. 521 Nanda Rd., Hsinchu City 300, Taiwan Abstract In this article, for a tυs-G-cone metric space (X, G) and for the family A of subsets of X, we introduce a new notion of the tυs H cone metric H with respect to G, and we get a fixed result for the stronger Meir-Keeler-G-cone-type function in a complete tυs-G-cone metric space (A,H) Our result generalizes some recent results due to Dariusz Wardowski and Radonevic’ et al. MSC: 47H10; 54C60; 54H25; 55M20.
منابع مشابه
A note on tvs-cone metric fixed point theory
In this paper, the concept of set-valued contraction of Nadler type in the setting of tvscone spaceswas introduced and a fixed point theorem in the setting of tvs-cone spaceswith respect to a solid conewas proved. Obtained results extend and generalize themain results of [S.B. Nadler Jr., Multi-valued contraction mappings, Pacific Journal of Mathematics 30 (1969) 475–488] and [D. Wardowski, On ...
متن کاملOn Multivalued Contractions in Cone Metric Spaces without Normality
Wardowski (2011) in this paper for a normal cone metric space (X, d) and for the family A of subsets of X established a new cone metric H : A × A → E and obtained fixed point of set-valued contraction of Nadler type. Further, it is noticed in the work of Janković et al., 2011 that the fixed-point problem in the setting of cone metric spaces is appropriate only in the case when the underlying co...
متن کاملFixed point theorems for generalized quasi-contractions in cone $b$-metric spaces over Banach algebras without the assumption of normality with applications
In this paper, we introduce the concept of generalized quasi-contractions in the setting of cone $b$-metric spaces over Banach algebras. By omitting the assumption of normality we establish common fixed point theorems for the generalized quasi-contractions with the spectral radius $r(lambda)$ of the quasi-contractive constant vector $lambda$ satisfying $r(lambda)in [0,frac{1}{s})$ in the set...
متن کاملCommon fixed points of f-weak contractions in cone metric spaces
Recently, Choudhury and Metiya [Fixed points of weak contractions in cone metric spaces, Nonlinear Analysis 72 (2010) 1589-1593] proved some fixed point theorems for weak contractions in cone metric spaces. Weak contractions are generalizations of the Banach's contraction mapping, which have been studied by several authors. In this paper, we introduce the notion of $f$-weak contractions and als...
متن کاملA fixed point result for a new class of set-valued contractions
In this paper, we introduce a new class of set-valued contractions and obtain a xed point theoremfor such mappings in complete metric spaces. Our main result generalizes and improves many well-known xed point theorems in the literature.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2012