Results 21 to 30 of about 526,402 (91)
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
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
AIMS Mathematics, 2020 <abstract> <p>The aim of this paper is to introduce the notion of Suzuki type multivalued contraction with simulation functions and then to set up some new fixed point and data dependence results for these type of contraction mappings. We produce an example to support our results.
Azhar Hussain +3 more
openaire +3 more sources
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
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
wiley +1 more source
A general class of noninstantaneous impulsive fractional differential inclusions in Banach spaces
Advances in Difference Equations, 2017 In this paper we introduce the concept of a PC-mild solution to a general new class of noninstantaneous impulsive fractional differential inclusions involving the generalized Caputo derivative with the lower bound at zero in infinite dimensional Banach ...
JinRong Wang +3 more
doaj +1 more source
Ulam-Hyers stability for partial differential inclusions
Electronic Journal of Qualitative Theory of Differential Equations, 2012 Using the weakly Picard operator technique, we will present Ulam-Hyers stability results for integral inclusions of Fredholm and Volterra type and for the Darboux problem associated to a partial differential inclusion.
V. Lazar
doaj +1 more source
Ulam Stability for Partial Fractional Differential Inclusions via Picard Operators Theory
Electronic Journal of Qualitative Theory of Differential Equations, 2014 In the present paper, we investigate, using the Picard operator technique, some existence and Ulam type stability results for the Darboux problem associated to some partial fractional order differential inclusions.
Said Abbas +2 more
doaj +1 more source