Results 41 to 50 of about 6,851 (153)

Continuous controlled cone metric-type spaces over real Banach algebras and fixed-point results

Journal of Inequalities and Applications, 2022
In this article, we introduce a new geometrical structure that is the hybrid of a cone metric space over Banach algebra and a controlled metric-type space.
Wahid Ullah, Hüseyin Işık, Nouman Alam, Choonkil Park, Jung Rye Lee   +4 more
doaj   +1 more source

Difference sequence spaces in cone metric space [PDF]

Proyecciones (Antofagasta), 2017
In this article we introduce the notion of difference bounded, convergent and null sequences in cone metric space. We investigate their different algebraic and topological properties.
Chandra Tripathy, Binod, Ram Das, Nanda, Dey, Rinku   +2 more
openaire   +2 more sources

Completion Of Cone Metric Spaces

, 2009
In this paper a completion theorem for cone metric spaces and a completion theorem for cone normed spaces are proved. The completion spaces are defined by means of an equivalence relation obtained by convergence via the scalar norm of the Banach space E.
Çakallı, Hüseyin, Sönmez, Ayşe
openaire   +5 more sources

F-cone metric spaces over Banach algebra

Fixed Point Theory and Applications, 2017
The paper deals with the achievement of introducing the notion of F-cone metric spaces over Banach algebra as a generalization of N p $N_{p}$ -cone metric space over Banach algebra and N b $N_{b}$ -cone metric space over Banach algebra and studying some ...
Jerolina Fernandez, Neeraj Malviya, Stojan Radenovič, Kalpana Saxena   +3 more
doaj   +1 more source

GENERALIZED CONE METRIC SPACES

Journal of Nonlinear Sciences and Applications, 2010
A notion of generalized cone metric space is introduced, and some convergence properties of sequences are proved. Also some flxed point results for mappings satisfying certain contractive conditions are obtained. Our results complement, extend and unify several well known results in the literature.
ISMAT BEG, MUJAHID ABBAS, TALAT NAZIR
openaire   +2 more sources

Fixed-Point Results for Krasnoselskii, Meir–Keeler, and Boyd–Wong-Type Mappings with Applications to Dynamic Market Equilibrium

Axioms
This paper introduces the idea of a cone m-hemi metric space, which extends the idea of an m-hemi metric space. By presenting non-trivial examples, we demonstrate the superiority of cone m-hemi metric spaces over m-hemi metric spaces.
Lifang Guo, Rabia Bibi, Abeer Alshejari, Ekrem Savas, Tayyab Kamran, Umar Ishtiaq   +5 more
doaj   +1 more source

Fuzzy cone metric spaces

Journal of Nonlinear Sciences and Applications, 2015
TANAY, BEKIR/0000-0003-4066-2044; Kandemir, Mustafa Burc/0000-0002-0159-5670; Oner, Tarkan/0000-0002-2882 ...
Oner, Tarkan, Kandemir, Mustafa Burc, Tanay, Bekir   +2 more
openaire   +3 more sources

Metrizability of Cone Metric spaces

, 2011
9 ...
Asadi, Mehdi, Vaezpour, S. Mansour, Soleimani, Hossein   +2 more
openaire   +2 more sources

Pentagonal Cone b-metric Spaces over Banach Algebras and Fixed Point Theorem of Generalized Lipschitz Mapping

ITM Web of Conferences, 2018
In this paper, we introduce the concept of pentagonal cone b-metric space over Banach algebras as a generalization of cone metric space over Banach algebras and many of its generalizations. Furthermore, we prove Banach fixed point theorem in such a space.
Auwalu Abba
doaj   +1 more source

Balls in generalizations of metric spaces

Journal of Inequalities and Applications, 2016
This paper discusses balls in partial b-metric spaces and cone metric spaces, respectively. Let ( X , p b ) $(X,p_{b})$ be a partial b-metric space in the sense of Mustafa et al. For the family △ of all p b $p_{b}$ -open balls in ( X , p b ) $(X,p_{b})$ ,
Xun Ge, Shou Lin
doaj   +1 more source