Results 31 to 40 of about 1,267,876 (189)

Partial answers of the Asadi et al.’s open question on M-metric spaces with numerical results

Arab Journal of Mathematical Sciences, 2018
In 2014, Asadi et al. introduced the concept of an M-metric space which is a generalization of a partial metric space and established Banach and Kannan fixed point theorems on M-metric spaces.
Pathaithep Kumrod, Wutiphol Sintunavarat
doaj   +1 more source

On the fractional partial integro-differential equations of mixed type with non-instantaneous impulses

Boundary Value Problems, 2020
In this paper, we consider the initial boundary value problem for a class of nonlinear fractional partial integro-differential equations of mixed type with non-instantaneous impulses in Banach spaces.
Bo Zhu, Baoyan Han, Lishan Liu, Wenguang Yu   +3 more
doaj   +1 more source

ADMITTING CENTER MAPS ON MULTIPLICATIVE METRIC SPACE [PDF]

Journal of Algebraic Systems, 2020
‎In this work‎, ‎we investigate admitting center map on multiplicative metric space‎ ‎and establish some fixed point theorems for such maps‎. ‎We modify the Banach contraction principle and‎ ‎the Caristi's fixed point theorem for M-contraction ...
M. H. LABBAF Ghasemi Zavareh, N. Eftekhari, A. Bayati Eshkaftaki   +2 more
doaj   +1 more source

Nondecreasing bounded continuous solutions of a q-difference equation

Miskolc Mathematical Notes
Schauder’s fixed point theorem and Banach contraction principle are used to study a ...
Hou Yu Zhao, Shan Shan Guo
doaj   +1 more source

Generalized Ulam-Hyers Stability, Well-Posedness, and Limit Shadowing of Fixed Point Problems for α-β-Contraction Mapping in Metric Spaces

The Scientific World Journal, 2014
We study the generalized Ulam-Hyers stability, the well-posedness, and the limit shadowing of the fixed point problem for new type of generalized contraction mapping, the so-called α-β-contraction mapping.
Wutiphol Sintunavarat
doaj   +1 more source

Generators of maximal left ideals in Banach algebras [PDF]

, 2012
In 1971, Grauert and Remmert proved that a commutative, complex, Noetherian Banach algebra is necessarily finite-dimensional. More precisely, they proved that a commutative, complex Banach algebra has finite dimension over C whenever all the closed ...
Dales, H.G., Zelazko, W.
core   +4 more sources

Extensions of the Banach contraction principle in multiplicative metric spaces [PDF]

Vojnotehnicki glasnik, 2017
In this paper, we have proven several generalizations of the Banach contraction principle for multiplicative metric spaces. We have also derived the Cantor intersection theorem in the setup of multiplicative metric spaces. Non-trivial supporting examples are also given.
ROME BADSHAH, SARWAR MUHAMMAD
openaire   +2 more sources

Equivalences of Nonlinear Higher Order Fractional Differential Equations With Integral Equations

Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6930-6942, April 2025.
ABSTRACT Equivalences of initial value problems (IVPs) of both nonlinear higher order (Riemann–Liouville type) fractional differential equations (FDEs) and Caputo FDEs with the corresponding integral equations are studied in this paper. It is proved that the nonlinearities in the FDEs can be L1$$ {L}^1 $$‐Carathéodory with suitable conditions.
Kunquan Lan
wiley   +1 more source

Banach contraction principle [PDF]

, 2016
In the first part of this thesis, some basic concepts about metric spaces and their properties are repeated. A special emphasis is on the completeness of the metric space.
Obid, Marko
core  

The Optimal Mean–Variance Selling Problem With Finite Horizon

Mathematical Finance, EarlyView.
ABSTRACT The optimal mean–variance selling problem seeks to determine a dynamically optimal stopping time in the nonlinear problem sup0≤τ≤TE(Xτ)−cVar(Xτ)$\sup _{0 \le \tau \le T} \left[ \mathsf {E}\,\!(X_\tau) - c\, \mathsf {V}ar\,\!(X_\tau) \right]$, where X$X$ is a geometric Brownian motion with strictly positive drift, the supremum is taken over ...
Peter Johnson, Jesper Lund Pedersen, Goran Peskir   +2 more
wiley   +1 more source