Results 11 to 20 of about 6,524,644 (115)

A Banach fixed point theorem for topological spaces

open access: yes, 1992
The purpose of this paper is to prove a fixed point theorem for Hausdorff first countable topological spaces and to show, that it is really a generalization of the well-known Banach Fixed Point Theorem: Let \(f:(X,d)\to(X,d)\) be a contraction mapping from a complete metric space into itself. Let \(x \in X\). Then the sequence \(\bigl\{ f^{(n)}(x)\bigr\
Kupka, Ivan
openaire   +2 more sources

FIXED POINT AND COMMON FIXED POINT THEOREM FOR MULTIVALUED MAPPINGS FOR BANACH SPACE

open access: yes, 2022
In this Paper we will investigate some fixed point and common fixed point theorem for multivalued mappings of Banach space. We show that an extended form of many Known results taking multivalued mappings and inequities.
Sandhya Singh, Dr. Dhirendra Kumar Singh
core   +1 more source

BANACH FIXED POINT THEOREM [PDF]

open access: yes, 2019
Banach fixed point theorem (contraction theorem) is a unique fixed point theorem on a mapping called the contraction of a complete metric space into it self. The space is said to be complete if every Cauchy sequence in converges.
Alsitaningtyas, Yunike Jemis Fifnelavindy
core   +1 more source

Unique Fixed Point Theorem for Weakly Inward Contractions and Fixed Point Curve in 2-Banach Space [PDF]

open access: yes, 2015
In this paper, we prove unique fixed point theorem for weakly inward contractions on 2-Banach space and introduce the concept of fixed point curve in 2-Banach space.2010 AMS Classification: 41A65, 46B20,47H10 ...
P Riyas, KT Ravindran
core   +1 more source

A Note on Brondsted's Fixed Point Theorem [PDF]

open access: yes, 2023
We show that for the case of uniformly convex Banach spaces the conditions of the Brondsted fixed point theorem can be ...
Zubelevich, Oleg
core   +1 more source

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

open access: yesMathematische 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   +3 more
wiley   +1 more source

On the analyzing of bifurcation properties of the one‐dimensional Mackey–Glass model by using a generalized approach

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
The goal of this work is to look at how a nonlinear model describes hematopoiesis and its complexities utilizing commonly used techniques with historical and material links. Based on time delay, the Mackey–Glass model is explored in two instances. To offer a range, the relevance of the parameter impacting stability (bifurcation) is recorded.
Shuai Zhang   +5 more
wiley   +1 more source

A Schauder fixed point theorem in semilinear spaces and applications

open access: yes, 2013
In this paper we present existence and uniqueness results for a class of fuzzy fractional integral equations. To prove the existence result, we give a variant of the Schauder fixed point theorem in semilinear Banach spaces.peer ...
Vasile Lupulescu   +7 more
core   +1 more source

Exponential Stability of Higher Order Fractional Neutral Stochastic Differential Equation Via Integral Contractors

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.
ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar   +3 more
wiley   +1 more source

UNIQUE FIXED POINT THEOREMS FOR CONTRACTIVE MAPS TYPE IN T 0 -QUASI-METRIC SPACES [PDF]

open access: yes, 2014
In [2], Agyingi proved that every generalized contractive mapping defined in a q-spherically complete T 0 -ultra-quasi-metric space has a unique fixed point.
Yae ́ Ulrich Gaba
core   +1 more source

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