Results 41 to 50 of about 590,832 (344)

Some Common Fixed Point Theorems in Partially Ordered Sets

open access: yesJournal of Applied Mathematics, 2020
The purpose of this paper is to prove some new fixed point theorem and common fixed point theorems of a commuting family of order-preserving mappings defined on an ordered set, which unify and generalize some relevant fixed point theorems.
Khadija Bouzkoura, Said Benkaddour
doaj   +1 more source

Understanding Fixed Point Theorems [PDF]

open access: yes, 2003
Fixed point theorems are the standard tool used to prove the existence of equilibria in mathematical economics. This paper shows how to prove a slight generalization of Brouwer's and Kakutani's fixed point theorems using the familiar techniques of ...
Arnold, Lutz G.
core  

Hopfield Neural Networks for Online Constrained Parameter Estimation With Time‐Varying Dynamics and Disturbances

open access: yesInternational Journal of Adaptive Control and Signal Processing, EarlyView.
This paper proposes two projector‐based Hopfield neural network (HNN) estimators for online, constrained parameter estimation under time‐varying data, additive disturbances, and slowly drifting physical parameters. The first is a constraint‐aware HNN that enforces linear equalities and inequalities (via slack neurons) and continuously tracks the ...
Miguel Pedro Silva
wiley   +1 more source

Fixed Point Theorems via Auxiliary Functions

open access: yesJournal of Applied Mathematics, 2012
We prove new fixed point theorems in the framework of partially ordered metric spaces. The main result is an extension and a generalization of many existing results in the literature. An example is also considered to illustrate the main result.
Erdal Karapınar, Peyman Salimi
doaj   +1 more source

GENERALIZED FIXED POINT THEOREMS IN G-CONE METRIC SPACES INVOLVING Φ-CONTRACTIONS AND AUXILIARY PERTURBATIONS [PDF]

open access: yesJournal of Mechanics of Continua and Mathematical Sciences
In this work, we provide a set of enhanced fixed-point theorems over Banach spaces with normal cones in the context of G-cone metric spaces. Our results extend and generalize existing theorems by incorporating φ-contractive mappings and perturbation ...
Achala Mishra, Hiral Raja
doaj   +1 more source

A Geometric Approach to Combinatorial Fixed-Point Theorems [PDF]

open access: yes, 2013
We develop a geometric framework that unifies several different combinatorial fixed-point theorems related to Tucker's lemma and Sperner's lemma, showing them to be different geometric manifestations of the same topological phenomena.
Grant, Elyot, Ma, Will
core  

Common Fixed Point Theorems in Fuzzy Metric Spaces

open access: yes, 2016
In this paper we used the concept of compatible of type (P) in fuzzy metric spaces. Our result generalize earlier results due to Vasuki [18], Chugh and Kumar [3] and others. 2000 Mathematics Subject Classification: 54H25, 47H10.
R. N. Patel, M. K. Tiwari
semanticscholar   +1 more source

Current Tracking Adaptive Control of Brushless DC Motors

open access: yesInternational Journal of Adaptive Control and Signal Processing, EarlyView.
In this paper, the current tracking for Brushless Direct Current motors is approached considering uncertainty in the parameters of the motor's model. An adaptive control scheme to compensate electrical parameters uncertainty is proposed without requiring any knowledge of the mechanical parameters.
Fernanda Ramos‐García   +3 more
wiley   +1 more source

Equivalents of maximum principles for several spaces

open access: yesTopological Algebra and its Applications, 2022
According to our long-standing Metatheorem, certain maximum theorems can be equivalently reformulated to various types of fixed point theorems, and conversely.
Park Sehie
doaj   +1 more source

Homological selections and fixed-point theorems

open access: yes, 2016
A homological selection theorem for C-spaces, as well as, a finite-dimensional homological selection theorem is established. We apply the finite-dimensional homological selection theorem to obtain fixed-point theorems for usco homologically UV^n set ...
Valov, Vesko
core   +1 more source

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