Results 11 to 20 of about 6,524,644 (115)
A Banach fixed point theorem for topological spaces
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
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
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BANACH FIXED POINT THEOREM [PDF]
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
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Unique Fixed Point Theorem for Weakly Inward Contractions and Fixed Point Curve in 2-Banach Space [PDF]
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
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A Note on Brondsted's Fixed Point Theorem [PDF]
We show that for the case of uniformly convex Banach spaces the conditions of the Brondsted fixed point theorem can be ...
Zubelevich, Oleg
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Nonconstant Positive Steady States for a Predator–Prey System With Signal‐Dependent Diffusion
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
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
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
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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]
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
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