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
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Porosity-based methods for solving stochastic feasibility problems
, 2022 The notion of porosity is well known in Optimization and Nonlinear Analysis. Its importance is brought out by the fact that the complement of a σ-porous subset of a complete pseudo-metric space is a residual set, while the existence of the latter is ...
Simeon REICH, Simeon REICH +2 more
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Common Fixed Points for Single-Valued and Multi-Valued Maps Satisfying a Generalized Contraction in -Metric Spaces [PDF]
, 2012 KARAPINAR, ERDAL/0000-0002-6798-3254; Aydi, Hassen/0000-0003-4606-7211; tahat, nedal/0000-0003-4396-8823; , Hassen/0000-0003-3896-3809; Shatanawi, Wasfi/0000-0001-7492-4933In this article, we establish some common fixed point theorems for a hybrid pair {}
Tahat, Nedal +4 more
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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
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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
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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
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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
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Asymptotic behavior of inexact infinite products of nonexpansive mappings
, 2021 We analyze the asymptotic behavior of inexact infinite products of non- expansive mappings, which take a nonempty closed subset of a complete metric space into the space, in the case where the errors are sufficiently small.
ZASLAVSKI, Alexander J., REICH, Simeon
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Common fixed points of R-weakly commuting maps in generalized metric spaces [PDF]
, 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.
Mujahid Abbas +3 more
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Intermediate Value Property for the Assouad Dimension of Measures
Analysis and Geometry in Metric Spaces, 2020 Hare, Mendivil, and Zuberman have recently shown that if X ⊂ ℝ is compact and of non-zero Assouad dimension dimA X, then for all s > dimA X, X supports measures with Assouad dimension s. We generalize this result to arbitrary complete metric spaces.
Suomala Ville
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