Results 31 to 40 of about 289 (78)

Best Proximity Points of Relatively Jaggi Nonexpansive Mappings in Busemann Convex Spaces

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
In this paper, we introduce cyclic (noncyclic) relatively Jaggi nonexpansive mappings on Busemann convex spaces and investigate the existence of their best proximity points (pairs). Furthermore, we extend the notation of relatively u‐continuous mappings in geodesic spaces and generalize an existence result of best proximity points from strictly convex ...
M. Gabeleh, M. Hassanvand, H. R. Salimi Moghaddam, Calogero Vetro   +3 more
wiley   +1 more source

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, Mohammed Shehu Shagari, Maha Noorwali, Abba Ali Tijjani, Afis Saliu, Pramita Mishra   +5 more
wiley   +1 more source

On Generalized (α‐ψ)‐Contraction With Rational Contraction Type on Generalized Metric Space Endowed With the Orthogonal Direct Sum

Journal of Mathematics, Volume 2025, Issue 1, 2025.
This paper explores fixed point theory, focusing on (α‐ψ)‐contraction‐type operators defined on complete generalized metric spaces with an orthogonal direct sum structure. It establishes existence and uniqueness results under these extended contraction conditions.
Ghadah Albeladi, Saleh Omran, Ching-Feng Wen   +2 more
wiley   +1 more source

On Weak Compatible Mappings, 3‐D Column Graphs Approach in Multiplicative Generalized Metric Spaces With an Application

Journal of Mathematics, Volume 2025, Issue 1, 2025.
The purpose of this work is to investigate the approach to 3‐D column graphs in multiplicative generalized metric spaces (MGM‐spaces) utilizing single‐valued mappings with an application. In MGM‐space, we use weakly compatible four self‐mappings to prove common fixed point (CFP) results without requiring their continuity.
Saif Ur Rehman, Muhammad Sohail, Tayyab Mahmood, Hamza Ali Abujabal, Taoufik Moulahi, Muhammad Imran Haider, Ammar Alsinai   +6 more
wiley   +1 more source

An Entourage Approach to the Contraction Principle in Uniform Spaces Endowed with a Graph [PDF]

, 2013
In this paper, we study Banach contractions in uniform spaces endowed with a graph and give some sufficient conditions for a mapping to be a Picard operator. Our main results generalize some results of [J.
Aghanians, A., Fallahi, K., Nourouzi, K.
core  

Solving a Fractional Differential Equation via the Bipolar Parametric Metric Space

Journal of Mathematics, Volume 2024, Issue 1, 2024.
In this paper, we propose the notion of the bipolar parametric metric space and prove fixed point theorems. The proved results generalize and extend some of the well‐known results in the literature. An example and application to support our result is presented.
Mohammad Imam Pasha, Kotha Rama Koteswara Rao, Gunaseelan Mani, Arul Joseph Gnanaprakasam, Santosh Kumar, Chang Phang   +5 more
wiley   +1 more source

Some Fixed Point Theorems for Kannan Mappings [PDF]

, 2010
2000 Mathematics Subject Classification: Primary: 47H10; Secondary: 54H25.Some results on the existence and uniqueness of fixed points for Kannan mappings on admissible subsets of bounded metric spaces and on bounded closed convex subsets of complete ...
Narang, T. D., Tejpal, Shavetambry
core  

Properties of convergence of a class of iterative processes generated by sequences of self-mappings with applications to switched dynamic systems [PDF]

, 2014
This article investigates the convergence properties of iterative processes involving sequences of self-mappings of metric or Banach spaces. Such sequences are built from a set of primary self-mappings which are either expansive or non-expansive self ...
Asier Ibeas, Manuel De la Sen
core   +3 more sources

Solving Periodic Boundary Value Problem via Product Type Rational Contractions

International Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.
In this paper, we define some new product types of rational contractions for single‐valued mappings in generalized metric spaces. We prove the uniqueness of fixed point (FP) and common fixed point (CFP) theorems under the new product types of rational contractions in generalized metric spaces with the application of boundary value problem.
Saif Ur Rehman, Abeeda Ahmad, Mohammed M. M. Jaradat, Sidra Akbar, Aneeza Hafeez, Faiz Ullah, Nawab Hussain   +6 more
wiley   +1 more source

Coupled best proximity point theorems for $p$-cyclic $ϕ$-contraction and $p$-cyclic Kannan nonexpansive mappings

In this paper, the notions of $p$-cyclic $ϕ$-contraction and $p$-cyclic Kannan nonexpansive mappings are introduced, and the existence of coupled best proximity points for such mappings is established.
Kumar, Parveen, Kumar, Ankit
openaire   +2 more sources