Results 61 to 70 of about 1,527 (116)
An Introduction to C∗‐Algebra‐Valued Metric‐Like Space With Related Applications
Journal 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
Fixed Point Theorems in Complex Valued Extended b-Metric Spaces
Moroccan Journal of Pure and Applied Analysis, 2019 In this article, inspired by the concepts of extended b-metric spaces, we introduce the notion of complex valued extended b-metric spaces. Using this new idea, some fixed point theorems involving rational contractive inequalities are proved.
Ullah Naimat +2 more
doaj +1 more source
Moroccan Journal of Pure and Applied Analysis, 2019 In this paper, we prove some common coupled fixed point theorems for contractive mappings in Menger metric spaces under geometrically convergent t-norms. Also, we prove common fixed point theorems for pairs of weakly compatible mappings, which generalize
Abdelhalim Abdelkrim +3 more
doaj +1 more source
On Hilbert Functions of Points in Projective Space and Structure of Graded Modules
, 2018 In this paper, we investigate the relationship between the Hilbert functions and the associated properties of the graded modules. To attain this, we construct the graded modules from the sets of points in projective space, $\mathbb{P}_k^n$ .
Mgani, Damas Karmel, Mwanzalima, Makungu
core
Convergence theorems for a family of multivalued nonexpansive mappings in hyperbolic spaces
Open Mathematics, 2016 In this article we modify an iteration process to prove strong convergence and Δ— convergence theorems for a finite family of nonexpansive multivalued mappings in hyperbolic spaces.
Alagoz Osman +2 more
doaj +1 more source
A simple case within Nash-Moser-Ekeland theory
, 2018 We present simple and direct proof to an important case of Nash-Moser-Ekeland theorem.Comment: In this third version we have made numerous improvements inspired by the referee, like correcting the definition of directional derivative to the standard ...
Ivanov, Milen, Zlateva, Nadia
core
Convergence and stability of generalized φ-weak contraction mapping in CAT(0) spaces
Open Mathematics, 2017 The aim of this paper is to prove some fixed point results for generalized φ-weak contraction mapping and study a new concept of stability which is called comparably almost T-stable by using iterative schemes in CAT(0) spaces.
Kim Kyung Soo
doaj +1 more source
Demonstratio MathematicaIn this paper, we present a new computational approach named the parallel inertial three-step iteration monotone hybrid algorithm (abbreviated as PITMHA), devised for addressing the common fixed point problem of a finite family of G-nonexpansive mappings
Yambangwai Damrongsak, Thianwan Tanakit
doaj +1 more source
Some results in cone metric spaces with applications in homotopy theory
Open Mathematics, 2020 The self-mappings satisfying implicit relations were introduced in a previous study [Popa, Fixed point theorems for implicit contractive mappings, Stud. Cerc. St. Ser. Mat. Univ. Bacău 7 (1997), 129–133].
Nazam Muhammad +3 more
doaj +1 more source
Some fixed point results on ultrametric spaces endowed with a graph
Demonstratio MathematicaThe present article deals with new fixed point theorems by means of GG-strongly contractive maps. The research findings are demonstrated in a spherically complete ultrametric space with a graph for single-valued mappings. The special cases of the results
Acar Özlem +2 more
doaj +1 more source