Results 31 to 40 of about 1,320,516 (202)

On Existence of Solutions of Impulsive Nonlinear Functional Neutral Integro-Differential Equations With Nonlocal Condition

Demonstratio Mathematica, 2015
In the present paper, we investigate the existence, uniqueness and continuous dependence of mild solutions of an impulsive neutral integro-differential equations with nonlocal condition in Banach spaces. We use Banach contraction principle and the theory
Jain Rupali S., Dhakne M. B.
doaj   +1 more source

Further generalizations of the Banach contraction principle [PDF]

Journal of Inequalities and Applications, 2014
AbstractWe establish a new fixed point theorem in the setting of Branciari metric spaces. The obtained result is an extension of the recent fixed point theorem established in Jleli and Samet (J. Inequal. Appl. 2014:38, 2014).
Jleli, Mohamed, Karapınar, Erdal, Samet, Bessem   +2 more
openaire   +1 more source

A converse of the Banach contraction principle for partial metric spaces and the continuum hypothesis [PDF]

, 2023
A version of the Bessaga inverse of the Banach contraction principle for partial metric spaces is presented. Equivalence of that version and the continuum hypothesis is shown as well.Comment: Corrected formulation of Theorem 5; wording of Theorems 6 and ...
Maćkowiak, Piotr
core  

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

Banach Contraction Principle-Type Results for Some Enriched Mappings in Modular Function Spaces

, 2023
The idea of enriched mappings in normed spaces is relatively a newer idea. In this paper, we initiate the study of enriched mappings in modular function spaces.
Abdul Latif, Abdullah Eqal Al-Mazrooei, Safeer Hussain Khan   +2 more
core   +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

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

Nonconstant Positive Steady States for a Predator–Prey System With Signal‐Dependent Diffusion

Mathematische Nachrichten, EarlyView.
ABSTRACT This paper investigates a highly nonlinear predator–prey reaction–diffusion system featuring signal‐dependent prey diffusion, where the motility of the prey is modulated by a chemical signal released by predators. For unbounded functional responses, we establish the global‐in‐time existence and uniform‐in‐time boundedness of classical ...
Qigang Deng, Hao Shen, Ranchao Wu, Hao Wang   +3 more
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