Results 21 to 30 of about 253 (35)

A Note on the Caristi Fixed Point Theorem [PDF]

open access: yes, 2015
We generalise the Caristi Fixed Point Theorem to the mappings of the complete semi-metric spaces.Comment: this paper has been withdrawn by the author due to the results on the whole are ...
Zubelevich, Oleg
core  

Local dimensions in Moran constructions

open access: yes, 2015
We study the dimensional properties of Moran sets and Moran measures in doubling metric spaces. In particular, we consider local dimensions and $L^q$-dimensions.
Käenmäki, Antti   +2 more
core   +1 more source

Investigating Nonlinear Activation Mechanism Through Fixed‐Circle Theorems of Enriched Multivalued Bilateral‐Type Contractions

open access: yesJournal of Function Spaces, Volume 2025, Issue 1, 2025.
In this article, we present new results addressing the fixed‐circle and fixed‐disc problems through modification of the multivalued bilateral Jaggi‐type and Dass–Gupta‐type contractions. Furthermore, we demonstrate the application of these theorems to the nonlinear activation mechanism used in neural networks.
Saima Kanwal   +3 more
wiley   +1 more source

An Introduction to C∗‐Algebra‐Valued Metric‐Like Space With Related Applications

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
It is well‐known that the main objective of metric‐like spaces is to pave way for the development of fixed point results in nonstandard framework, such as in nonsymmetric distance structures, where self‐distances might be nonzero. This objective becomes more achievable when the range set of the distance function is a C∗‐algebra. Unfortunately, the idea
Zulaihatu Tijjani Ahmad   +5 more
wiley   +1 more source

Maps for which some power is a contraction [PDF]

open access: yes, 2010
It is well known that if some power of a self map of a complete metric space is a contraction, then the map has a unique fixed point. It is natural to ask whether such a map is itself a contraction with respect to some related metric on the space.
Satish Shirali
core   +1 more source

On the Intuitionistic fuzzy topological (metric and normed) spaces

open access: yes, 2005
In this paper, we define precompact set in intuitionistic fuzzy metric spaces and prove that any subset of an intuitionistic fuzzy metric space is compact if and only if it is precompact and complete.
Amini   +22 more
core   +1 more source

Common fixed points of R-weakly commuting maps in generalized metric spaces

open access: yesFixed Point Theory and Applications, 2011
In this paper, using the setting of a generalized metric space, a unique common fixed point of four R-weakly commuting maps satisfying a generalized contractive condition is obtained. We also present example in support of our result.
Khan Safeer, Abbas Mujahid, Nazir Talat
doaj  

Bornoligies, Topological Games and Function Spaces [PDF]

open access: yes, 2014
In this paper, we continue the study of function spaces equipped with topologies of (strong) uniform convergence on bornologies initiated by Beer and Levi \cite{beer-levi:09}.
Artur, H. Tomita, Jiling Cao
core  

Banach's fixed point theorem for partial metric spaces [PDF]

open access: yes, 2004
In 1994, S.G. Matthews introduced the notion of a par- tial metric space and obtained, among other results, a Banach contraction mapping for these spaces. Later on, S.J.
Oltra, Sandra, Valero, Oscar
core   +1 more source

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