Results 1 to 10 of about 398 (70)
Fixed points of a new type of contractive mappings in complete metric spaces [PDF]
Fixed Point Theory and Applications, 2012 In the article, we introduce a new concept of contraction and prove a fixed point theorem which generalizes Banach contraction principle in a different way than in the known results from the literature.
Dariusz Wardowski
semanticscholar +4 more sources
Asymptotic behavior of inexact infinite products of nonexpansive mappings [PDF]
, 2021 We analyze the asymptotic behavior of inexact infinite products of nonexpansive mappings, which take a nonempty closed subset of a complete metric space into the space, in the case where the errors are sufficiently small.
S. Reich, A. Zaslavski
semanticscholar +3 more sources
Coincidence and common fixed points for F-Contractive mappings
Annals of Mathematics and Physics, 2023 The purpose of this article is to establish the existence and uniqueness of coincidence and common fixed point of discontinuous non-compatible faintly compatible pair of self maps in non-complete metric space without using containment requirement of ...
Raji Muhammed, Ibrahim Musa Adeku
semanticscholar +1 more source
Equivalents of maximum principles for several spaces
Topological Algebra and its Applications, 2022 According to our long-standing Metatheorem, certain maximum theorems can be equivalently reformulated to various types of fixed point theorems, and conversely.
Park Sehie
doaj +1 more source
On a metric topology on the set of bivariate means
Acta Universitatis Sapientiae: Mathematica, 2022 In this paper, we define a distance d on the set ℳ of bivariate means. We show that (ℳ, d) is a bounded complete metric space which is not compact. Other algebraic and topological properties of (ℳ, d) are investigated as well.
Raïssouli Mustapha, Chergui Mohamed
doaj +1 more source
Remarks on the generalized interpolative contractions and some fixed-point theorems with application
Open Mathematics, 2022 In this manuscript, some remarks on the papers [H. A. Hammad, P. Agarwal, S. Momani, and F. Alsharari, Solving a fractional-order differential equation using rational symmetric contraction mappings, Fractal Fract. 5 (2021), 159] and [A. Hussain, F. Jarad,
Nazam Muhammad +3 more
doaj +1 more source
Optimization through best proximity points for multivalued F-contractions
Miskolc Mathematical Notes, 2021 Best proximity point theorems ensure the existence of an approximate optimal solution to the equations of the type f (x) = x when f is not a self-map and a solution of the same does not necessarily exist.
P. Debnath
semanticscholar +1 more source
Characterizations of quasi-metric and G-metric completeness involving w-distances and fixed points
Demonstratio Mathematica, 2022 Involving ww-distances we prove a fixed point theorem of Caristi-type in the realm of (non-necessarily T1{T}_{1}) quasi-metric spaces. With the help of this result, a characterization of quasi-metric completeness is obtained.
Karapınar Erdal +2 more
doaj +1 more source
so-metrizable spaces and images of metric spaces
Open Mathematics, 2021 so-metrizable spaces are a class of important generalized metric spaces between metric spaces and snsn-metrizable spaces where a space is called an so-metrizable space if it has a σ\sigma -locally finite so-network.
Yang Songlin, Ge Xun
doaj +1 more source
Some Common Fixed Point Results for 𝒵E−Contractions in Modular b−Metric Spaces
Topological Algebra and its Applications, 2022 The primary purpose of this study is to demonstrate some common fixed point theorems for diverse E−contractions involving generalized Proinov-simulation functions in the setting of modular b−metric spaces.
Büyükkaya Abdurrahman +1 more
doaj +1 more source