Results 11 to 20 of about 65 (53)
On multivalued weakly Picard operators in partial Hausdorff metric spaces [PDF]
Fixed Point Theory and Applications, 2015 AbstractWe discuss multivalued weakly Picard operators on partial Hausdorff metric spaces. First, we obtain Kikkawa-Suzuki type fixed point theorems for a new type of generalized contractive conditions. Then, we prove data dependence of a fixed points set theorem.
Jleli, Mohamed +3 more
openaire +4 more sources
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
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
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
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
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
wiley +1 more source
Some Random Fixed‐Point Theorems for Weakly Contractive Random Operators in a Separable Banach Space
International Journal of Mathematics and Mathematical Sciences, Volume 2021, Issue 1, 2021., 2021 The aim of this paper is to prove a common random fixed‐point and some random fixed‐point theorems for random weakly contractive operators in separable Banach spaces. A random Mann iterative process is introduced to approximate the fixed point. Finally, the main result is supported by an example and used to prove the existence and the uniqueness of a ...
Kenza Benkirane +3 more
wiley +1 more source