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Fixed Point Theory in Metric Type Spaces

open access: yes, 2016
Written by a team of leading experts in the field, this volume presents a self-contained account of the theory, techniques and results in metric type spaces (in particular in G-metric spaces); that is, the text approaches this important area of fixed ...
Agarwal,R.P.   +4 more
core   +1 more source

Formal Program Development with Approximations [PDF]

open access: yes, 2005
We describe a method for combining formal program development with a disciplined and documented way of introducing realistic compromises, for example necessitated by resource bounds.
Eerke A. Boiten   +3 more
core   +1 more source

Order isomorphisms between bases of topologies

open access: yesExtracta Mathematicae, 2022
In this paper we will study the representations of isomorphisms between bases of topological spaces. It turns out that the perfect setting for this study is that of regular open subsets of complete metric spaces, but we have been able to show some ...
Javier Cabello Sánchez
doaj  

Modelling stem cell differentiation related processes—A practical overview for biologists

open access: yesFEBS Letters, EarlyView.
Stem cell differentiation is complex and difficult to control experimentally. This review introduces suitable computational modelling approaches that can support stem cell research, from mechanistic ODE and abstract models to multiscale and deep learning methods.
Ricco Zeegelaar   +4 more
wiley   +1 more source

Quasicone Metric Spaces and Generalizations of Caristi Kirk's Theorem

open access: yesFixed Point Theory and Applications, 2009
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.
Thabet Abdeljawad, Erdal Karapinar
doaj   +1 more source

Well-posedness, bornologies, and the structure of metric spaces

open access: yesApplied General Topology, 2009
Given a continuous nonnegative functional λ that makes sense defined on an arbitrary metric space (X, d), one may consider those spaces in which each sequence (xn) for which lim n→∞λ(xn) = 0 clusters. The compact metric spaces, the complete metric spaces,
Gerald Beer, Manuel Segura
doaj   +1 more source

Teori Titik Tetap untuk Tipe Kannan yang Diperumum dalam Ruang b-Metrik Modular Lengkap

open access: yesJambura Journal of Mathematics, 2023
Some generalizations of Banach's contraction principle, which is a fixed-point theorem for contraction mapping in metric spaces, have developed rapidly in recent years.
Afifah Hayati   +2 more
doaj   +1 more source

Design and analysis strategies for robust microbiome ageing research

open access: yesFEBS Letters, EarlyView.
The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik   +5 more
wiley   +1 more source

Generalization of Fixed Point Theorem for φ- Contraction Mapping of a Fuzzy b- Metric Space

open access: yesIbn Al-Haitham Journal for Pure and Applied Sciences
Let (X,W,T) be a fuzzy b- metric space, where X is a non-empty set, W is a fuzzy set on X×X×(0,∞) to [0,1], and T is a continuous t-norm, and let a function φ:[0,1]→[0,1] satisfies the following conditions: The function φ is strictly decreasing and ...
Russll Abdul Kadhim Mohammed   +1 more
doaj   +1 more source

A Suzuki-type multivalued contraction on weak partial metric spaces and applications

open access: yesJournal of Inequalities and Applications, 2018
Based on a recent paper of Beg and Pathak (Vietnam J. Math. 46(3):693–706, 2018), we introduce the concept of Hq+ $\mathcal{H}_{q}^{+}$-type Suzuki multivalued contraction mappings.
Hassen Aydi   +3 more
doaj   +1 more source

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