Results 11 to 20 of about 449 (81)
AIMS Mathematics, 2021 In this paper, we prove two existence results of solutions for an ψ-Hilfer fractional non-instantaneous impulsive differential inclusion in the presence of delay in an infinite dimensional Banah spaces.
A.G. Ibrahim, A.A. Elmandouh
doaj +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
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.
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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
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
A new approach to multivalued nonlinear weakly Picard operators [PDF]
Journal of Inequalities and Applications, 2019 Abstract The notion of nonlinear $(\mathcal{F}_{s}, \mathcal{L})$(Fs,L)-contractive multivalued operators is initiated and some related fixed point results are considered. We also give an example to show the validity of obtained theoretical results. Our results generalize many existing ones in the literature.
Aiman Mukheimer +5 more
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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
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
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Fixed Point, Data Dependence, and Well‐Posed Problems for Multivalued Nonlinear Contractions
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 The aim of the paper is to discuss data dependence, existence of fixed points, strict fixed points, and well posedness of some multivalued generalized contractions in the setting of complete metric spaces. Using auxiliary functions, we introduce Wardowski type multivalued nonlinear operators that satisfy a novel class of contractive requirements ...
Iram Iqbal +4 more
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Existence Theorems on Advanced Contractions with Applications
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 In this research article, by introducing a mapping φ defined on [0,∞)4, with some axioms, we define two generalized contractions called FH+φ‐contractions and φHP+‐contractions. We investigate their mutual relation and establish an existence theorem addressing FH+φ‐contractions with some applications.
Sang Og Kim +2 more
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