Results 21 to 30 of about 67,599 (265)
Topological Algebra and its Applications, 2021 This paper presents some fixed point theorems for T-Hardy-Rodgers contraction mappings in complete cone b-metric spaces without the assumption of normality conditions.
Shashi Pauline, Kumar Santosh
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Density and extension of differentiable functions on metric measure spaces
, 2021 We consider vector valued mappings de ned on metric measure spaces with a measurable differ-entiable structure and study both approximations by nicer mappings and regular extensions of the givenmappings when de ned on closed subsets.
Espínola García, Rafael +1 more
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Sobolev Spaces in Extended Metric-Measure Spaces [PDF]
, 2021 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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Some Fixed-Point Theorems over a Generalized F-Metric Space
Advances in Mathematical Physics, 2021 In this article, the concept of sequential F-metric spaces has been introduced as a generalization of usual metric spaces, b-metric spaces, JS-metric spaces, and mainly F-metric spaces. Some topological properties of such spaces have been discussed here.
Kushal Roy +4 more
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Inhomogeneous parabolic equations on unbounded metric measure spaces [PDF]
, 2012 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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Geodesics in Asymmetric Metric Spaces [PDF]
, 2014 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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A new approach for KM-fuzzy partial metric spaces [PDF]
, 2022 summary:The main purpose of this paper is to give a new approach for partial metric spaces. We first provide the new concept of KM-fuzzy partial metric, as an extension of both the partial metric and KM-fuzzy metric.
Shen, Chong, Shen, Yu, Yan, Conghua
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Double Controlled Partial Metric Type Spaces and Convergence Results
Journal of Mathematics, 2021 In this paper, we firstly propose the notion of double controlled partial metric type spaces, which is a generalization of controlled metric type spaces, partial metric spaces, and double controlled metric type spaces.
Haroon Ahmad +2 more
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On Statistical Convergence of Order α in Partial Cone Metric Spaces
MathematicsThe importance of sequence spaces has increased with the emergence of various new convergence methods such as statistical convergence. On the other hand, partial metric spaces hold an important place in computer science, data science, and convergence ...
Süleyman Sarikaya +3 more
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Fixed Point Theory and Algorithms for Sciences and Engineering, 2022 In this paper, we introduce the class of rectangular quasi b-metric spaces as a generalization of rectangular metric spaces, rectangular quasi-metric spaces, rectangular b-metric spaces, define generalized ( α , ψ ) $(\alpha ,\psi ) $ -contraction ...
Bontu Nasir Abagaro +2 more
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