Results 51 to 60 of about 1,184 (114)

Persistence landscapes of affine fractals

open access: yesDemonstratio Mathematica, 2022
We develop a method for calculating the persistence landscapes of affine fractals using the parameters of the corresponding transformations. Given an iterated function system of affine transformations that satisfies a certain compatibility condition, we ...
Catanzaro Michael J.   +2 more
doaj   +1 more source

Generalized α − ψ Rational‐Type Contractions and Related Fixed Point Results in Controlled Metric Spaces

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
We introduce the new notion of generalized α − ψ rational type contractions of type I and type II in controlled metric spaces. By making use of these new notions, some fixed point theorems are also proved in the mentioned spaces for the α− admissible self maps.
Manoj Kumar   +4 more
wiley   +1 more source

An extragradient inertial algorithm for solving split fixed-point problems of demicontractive mappings, with equilibrium and variational inequality problems

open access: yesDemonstratio Mathematica, 2022
The purpose of this article is to study and analyse a new extragradient-type algorithm with an inertial extrapolation step for solving split fixed-point problems for demicontractive mapping, equilibrium problem, and pseudomonotone variational inequality ...
Okeke Chibueze C.   +2 more
doaj   +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

KKM and KY fan theorems in modular function spaces

open access: yesFixed Point Theory and Applications, 2011
In modular function spaces, we introduce Knaster-Kuratowski-Mazurkiewicz mappings (in short KKM-mappings) and prove an analogue to Ky Fan s fixed point theorem. 2010 Mathematics Subject Classification: Primary 46B20, 47H09; Secondary 47H10.
Latif Abdul   +2 more
doaj  

Some new fixed point theorems for nonexpansive-type mappings in geodesic spaces

open access: yesOpen Mathematics, 2022
In this article, we present some new fixed point existence results for nonexpansive-type mappings in geodesic spaces. We also give a number of illustrative examples to settle our claims.
Shukla Rahul, Panicker Rekha
doaj   +1 more source

Finite Ball Intersection Property of the Urysohn Universal Space [PDF]

open access: yes, 2014
In a paper published posthumously, P.S. Urysohn constructed a complete, separable metric space that contains an isometric copy of every complete separable metric space, nowadays referred to as the Urysohn universal space.
Aksoy, Asuman Guven, Ibragimov, Zair
core  

Related Fixed Point Results for LB3S2‐Type Cyclic Mapping in Extended b‐Metric Spaces With an Application

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
The purpose of this paper is to study the fixed point problem of cyclic mapping in the generalized metric spaces. In an extended b‐metric space, we introduce a new cyclic mapping, which is called LB3S2‐type cyclic mapping into this space, a specific example of LB3S2‐type cyclic mapping is shown, and the fixed point theorem for it is established.
Shengquan Weng   +2 more
wiley   +1 more source

Regularization proximal point algorithm for finding a common fixed point of a finite family of nonexpansive mappings in Banach spaces

open access: yesFixed Point Theory and Applications, 2011
We study the strong convergence of a regularization proximal point algorithm for finding a common fixed point of a finite family of nonexpansive mappings in a uniformly convex and uniformly smooth Banach space.
Tuyen Truong, Kim Jong
doaj  

Investigating the modified UO-iteration process in Banach spaces by a digraph

open access: yesOpen Mathematics
Graph theory (GT) is a highly captivating area of study within applied mathematics. Over the last 50 years, the number of mathematicians contributing to research in this field has consistently risen.
Yolacan Esra
doaj   +1 more source

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