scholarly journals Two elementary applications of some Presic type fixed point theorems

2011 ◽  
Vol 20 (1) ◽  
pp. 32-42
Author(s):  
VASILE BERINDE ◽  
◽  
MADALINA PACURAR ◽  
◽  
Keyword(s):  
Fixed Point ◽  
Nonlinear Systems ◽  
Fixed Point Theorems ◽  
Fixed Point Method ◽  
Point Method ◽  
Systems Of Equations ◽  
Nonlinear Systems Of Equations ◽  
Recurrence Sequences

We introduce and illustrate by suitable examples the use of a unified fixed point method for studying the convergence of nonlinear recurrence sequences and for solving cyclic nonlinear systems of equations. Our technique is essentially based on some Presic type fixed point theorems.

scholarly journals A new method for solving nonlinear systems of equations that is based on functional iterations

Open Physics ◽  
2018 ◽  
Vol 16 (1) ◽  
pp. 605-630 ◽  
Author(s):  
Joaquín Moreno ◽  
Miguel A. López ◽  
Raquel Martínez
Keyword(s):  
Fixed Point ◽  
Nonlinear Systems ◽  
Linear Algebra ◽  
Linear Equations ◽  
Continuous Functions ◽  
Compact Set ◽  
Systems Of Equations ◽  
Nonlinear Systems Of Equations ◽  
Banach Theorem ◽  
Non Linear Equations

Abstract Regarding solving nonlinear equations systems, there is a main problem that is the number and complexity of the linear algebra operations, and the functional evaluations of the applied algorithm. In this paper, an alternative solution will be proposed by means of constructing a converse of the Banach Theorem fixed-point, only to ℝ2 and ℝ3, in the following sense, this being: each root of a non-linear equations system has been considered as a fixed-point. Besides, the compact set and the continuous functions that fulfil the Banach Theorem are built under certain conditions, those that must satisfy the systemfunctions. Thus each iteration only requires the evaluation of two or three functions.

A fixed point approach to the stability of sextic Lie *-derivations

Filomat ◽  
2017 ◽  
Vol 31 (15) ◽  
pp. 4933-4944
Author(s):  
Dongseung Kang ◽  
Heejeong Koh
Keyword(s):  
Functional Equation ◽  
Fixed Point ◽  
General Solution ◽  
Single Case ◽  
Fixed Point Method ◽  
Point Method ◽  
Fixed Point Approach ◽  
The Stability ◽  
The Given ◽  
Lie Derivations

We obtain a general solution of the sextic functional equation f (ax+by)+ f (ax-by)+ f (bx+ay)+ f (bx-ay) = (ab)2(a2 + b2)[f(x+y)+f(x-y)] + 2(a2-b2)(a4-b4)[f(x)+f(y)] and investigate the stability of sextic Lie *-derivations associated with the given functional equation via fixed point method. Also, we present a counterexample for a single case.

scholarly journals Ulam-Hyers Stability and Ulam-Hyers-Rassias Stability for Fuzzy Integrodifferential Equation

Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-10 ◽  
Author(s):  
Nguyen Ngoc Phung ◽  
Bao Quoc Ta ◽  
Ho Vu
Keyword(s):  
Fixed Point ◽  
Successive Approximation ◽  
Integrodifferential Equation ◽  
Approximation Method ◽  
Fixed Point Method ◽  
Integrodifferential Equations ◽  
Point Method ◽  
Successive Approximation Method ◽  
Rassias Stability

In this paper, we establish the Ulam-Hyers stability and Ulam-Hyers-Rassias stability for fuzzy integrodifferential equations by using the fixed point method and the successive approximation method.

scholarly journals Homomorphisms and derivations in C∗-ternary algebras via fixed point method

2012 ◽  
Vol 2012 (1) ◽  
pp. 137 ◽  
Author(s):  
HM Kenari ◽  
Reza Saadati ◽  
Choonkil Park
Keyword(s):  
Fixed Point ◽  
Fixed Point Method ◽  
Point Method ◽  
Ternary Algebras
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