Results 21 to 30 of about 1,062,749 (259)
The convergence of the Euler's method
In this article we study the Euler's iterative method. For this method we give a global theorem of convergence. In the last section of the paper we give a numerical example which illustrates the result exposed in this work.
Raluca Anamaria Sălăjan (Pomian)
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A Fixed Point Approach to the Stability of a Mean Value Type Functional Equation
We prove the generalized Hyers–Ulam stability of a mean value type functional equation f ( x ) − g ( y ) = ( x − y ) h ( x + y ) by applying a method originated from fixed point theory.
Soon-Mo Jung, Yang-Hi Lee
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Communication and Language Profiles of Children Treated for Posterior Fossa Brain Tumors
ABSTRACT Background Cognitive and language deficits are frequently reported sequelae of posterior fossa brain tumors (PFBT). Typically, delayed onset impedes prompt assessment and early intervention. This has devastating implications for quality of life.
Zara Sved +4 more
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Fixed Point Method to Analyze Differences between Hipparcos and ICRF2
From 1998, the International Astronomical Union (IAU) adopted a new Celestial Reference System: the International Celestial Reference System (ICRS). The first optical materialization was the Hipparcos catalogue, defining the Hipparcos Celestial Reference
María José Martínez Usó +2 more
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ABSTRACT Background The HIT network was established in 2000 to create a population‐based structure aiming to improve survival rates and reduce late effects for children with central nervous system (CNS) tumors by conducting comprehensive clinical trials.
Stefan Rutkowski +59 more
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In this article, a new kind of bilateral symmetric additive type functional equation is introduced. One of the interesting characteristics of the equation is the fact that it is ideal for investigating the Ulam–Hyers stabilities in two prominent normed ...
P. Agilan +3 more
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Abstract Background Sickle cell disease (SCD) is an autosomal recessive hemoglobinopathy affecting millions of individuals worldwide. The clinical expression and psychosocial burden of SCD vary widely across geographical, cultural, and healthcare system contexts, underscoring the need for setting‐specific approaches to assessment.
Desiré Fantasia +7 more
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Stability of Quadratic Functional Equations via the Fixed Point and Direct Method
Cădariu and Radu applied the fixed point theorem to prove the stability theorem of Cauchy and Jensen functional equations. In this paper, we prove the generalized Hyers-Ulam stability via the fixed point method and investigate new theorems via ...
Juri Lee, Eunyoung Son, Hark-Mahn Kim
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We introduce a new regularization iterative algorithm for equilibrium and fixed point problems of nonexpansive mapping. Then, we prove a strong convergence theorem for nonexpansive mappings to solve a unique solution of the variational inequality and the
Shuo Sun
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Fixed Points by a New Iteration Method [PDF]
The following result is shown. If T T is a lipschitzian pseudo-contractive map of a compact convex subset E E of a Hilbert space into itself and x 1 {x_1} is any point in E E , then a certain mean value sequence defined by
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