Results 11 to 20 of about 932 (84)
Recent developments about multivalued weakly Picard operators [PDF]
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Minak, Gülhan +2 more
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On multivalued P-contractive mappings that belongs to class of weakly Picard operators [PDF]
Fixed Point Theory, 2021 Summary: In the present paper, by introducing the \(P\)-contractivity of a multivalued mapping, we give a new class of multivalued weakly Picard operators on complete metric spaces and show that the class of multivalued contractions is a proper subset of this new class. We also give a nontrivial example showing this fact.
openaire +2 more sources
Heights on curves and limits of Hodge structures
Journal of the London Mathematical Society, Volume 108, Issue 1, Page 340-361, July 2023., 2023 Abstract We exhibit a precise connection between Néron–Tate heights on smooth curves and biextension heights of limit mixed Hodge structures associated to smoothing deformations of singular quotient curves. Our approach suggests a new way to compute Beilinson–Bloch heights in higher dimensions.
Spencer Bloch +2 more
wiley +1 more source
Towards hybrid two‐phase modelling using linear domain decomposition
Numerical Methods for Partial Differential Equations, Volume 39, Issue 1, Page 622-656, January 2023., 2023 Abstract The viscous flow of two immiscible fluids in a porous medium on the Darcy scale is governed by a system of nonlinear parabolic equations. If infinite mobility of one phase can be assumed (e.g., in soil layers in contact with the atmosphere) the system can be substituted by the scalar Richards model.
David Seus +2 more
wiley +1 more source
Resurgence analysis of quantum invariants of Seifert fibered homology spheres
Journal of the London Mathematical Society, Volume 105, Issue 2, Page 709-764, March 2022., 2022 Abstract For a Seifert fibered homology sphere X$X$, we show that the q$q$‐series invariant Ẑ0(X;q)$\hat{\operatorname{Z}}_0(X;q)$, introduced by Gukov–Pei–Putrov–Vafa, is a resummation of the Ohtsuki series Z0(X)$\operatorname{Z}_0(X)$. We show that for every even k∈N$k \in \mathbb {N}$ there exists a full asymptotic expansion of Ẑ0(X;q)$ \hat ...
Jørgen Ellegaard Andersen +1 more
wiley +1 more source
Dynamics and Ulam Stability for Fractional q-Difference Inclusions via Picard Operators Theory
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 In this manuscript, by using weakly Picard operators we investigate the Ulam type stability of fractional q-difference An illustrative example is given in the last section.
Abbas Saïd +2 more
doaj +1 more source
Study of Metric Space and Its Variants
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 The objective of this paper is to present a comparative study of metric space and its variants. This study will provide the structure, gap analysis, and application of metric space and its variants from 1906 to 2021.
Surjeet Singh Chauhan (Gonder) +3 more
wiley +1 more source
Integral Equations Approach in Complex‐Valued Generalized b‐Metric Spaces
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 In this paper, we study a rational type common fixed‐point theorem (CFP theorem) in complex‐valued generalized b‐metric spaces (Gb‐metric spaces) by using three self‐mappings under the generalized contraction conditions. We find CFP and prove its uniqueness. To justify our result, we provide an illustrative example. Furthermore, we present a supportive
Shahid Mehmood +5 more
wiley +1 more source
Fixed Point Results of Dynamic Process Dˇϒ,μ0 through FIC‐Contractions with Applications
Complexity, Volume 2022, Issue 1, 2022., 2022 This article constitutes the new fixed point results of dynamic process D(ϒ, μ0) through FIC‐integral contractions of the Ciric kind and investigates the said contraction to iterate a fixed point of set‐valued mappings in the module of metric space. To do so, we use the dynamic process instead of the conventional Picard sequence.
Amjad Ali +5 more
wiley +1 more source
Convergence and Stability of a Novel M‐Iterative Algorithm with an Application
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 In this manuscript, we propose a novel three ‐ step iteration scheme called M ‐ iteration to approximate the invariant points for the class of weak contractions in the sense of Berinde and obtain that M ‐ iteration strongly converges to one and only one fixed point for Berinde mappings.
Manjinder Kaur +2 more
wiley +1 more source