Results 51 to 60 of about 104,464 (301)
Inhomogeneous parabolic equations on unbounded metric measure spaces [PDF]
We study the inhomogeneous semilinear parabolic equation ut = Δu + up + f(x), with source term f independent of time and subject to f(x) ≥ 0 and with u(0, x) = φ(x) ≥ 0, for the very general setting of a metric measure space. By establishing Harnack-type
Hu, Jiaxin +5 more
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Fixed-Point Results with Applications in Generalized Neutrosophic Rectangular b-Metric Spaces
In this paper, we introduce several new concepts: generalized neutrosophic rectangular b-metric-like spaces (GNRBMLSs), generalized intuitionistic rectangular b-metric-like spaces (GIRBMLSs), and generalized fuzzy rectangular b-metric-like spaces ...
Nawab Hussain +2 more
doaj +1 more source
Fixed Point Results for Single and Multivalued Maps on Partial Extended b-Metric Spaces
This article is based on the concept of partial extended b-metric spaces, which is inspired by the notions of new extended b-metric spaces and partial metric spaces.
Hassen Aydi +4 more
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Solution of fractional differential equations in quasi-b-metric and b-metric-like spaces [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A metric approach to limit operators
We extend the limit operator machinery of Rabinovich, Roch, and Silbermann from Z^N to (bounded geometry, strongly) discrete metric spaces. We do not assume the presence of any group structure or action on our metric spaces.
Spakula, Jan, Willett, Rufus
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Sobolev Spaces in Extended Metric-Measure Spaces [PDF]
These lecture notes contain an extended version of the material presented in the C.I.M.E. summer course in 2017. The aim is to give a detailed introduction to the metric Sobolev theory. The notes are divided in four main parts.
Savaré, Giuseppe, Giuseppe Savaré
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Best proximity for proximal operators on $b$-metric spaces
Summary: The paper presents existence results of \((\varphi, \varphi)\) best proximity points for operators that fulfill implicit type inequalities. Classes of mappings endowed with continuity, monotone or monotone-type properties, and which additionally satisfy some adequate inequalities are studied from this point of view. Applications of our results
Pitea, Ariana, Stanciu, Monica
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Geodesics in Asymmetric Metric Spaces [PDF]
In a recent paper [17] we studied asymmetric metric spaces; in this context we studied the length of paths, introduced the class of run-continuous paths; and noted that there are different definitions of “length spaces” (also known as “path-metric spaces”
Mennucci Andrea C. G. +1 more
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Fluorescent probes allow dynamic visualization of phosphoinositides in living cells (left), whereas mass spectrometry provides high‐sensitivity, isomer‐resolved quantitation (right). Their synergistic use captures complementary aspects of lipid signaling. This review illustrates how these approaches reveal the spatiotemporal regulation and quantitative
Hiroaki Kajiho +3 more
wiley +1 more source
Basic inequality on a b-metric space and its applications [PDF]
We first prove one of the most basic inequalities on a b-metric space. And then we prove some fixed point theorems. We also consider two similar conditions; one implies the Cauchyness on sequences but the other does not.
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