Results 11 to 20 of about 5,767,953 (360)

The Fixed Point Method for Fuzzy Approximation of a Functional Equation Associated with Inner Product Spaces [PDF]

open access: gold, 2010
Th. M. Rassias (1984) proved that the norm defined over a real vector space 𝑋 is induced by an inner product if and only if for a fixed integer 𝑛β‰₯2,βˆ‘π‘›π‘–=1β€–π‘₯π‘–βˆ‘βˆ’(1/𝑛)𝑛𝑗=1π‘₯𝑗‖2=βˆ‘π‘›π‘–=1β€–π‘₯𝑖‖2βˆ‘βˆ’π‘›β€–(1/𝑛)𝑛𝑖=1π‘₯𝑖‖2 holds for all π‘₯1,…,π‘₯π‘›βˆˆπ‘‹.
Mβ€Ž. β€ŽEshaghi Gordji, H. Khodaei
openalex   +2 more sources

A Fixed Point Method for Convex Systems

open access: goldApplied Mathematics, 2012
We present a new fixed point technique to solve a system of convex equations in several variables. Our approach is based on two powerful algorithmic ideas: operator-splitting and steepest descent direction. The quadratic convergence of the proposed approach is established under some reasonable conditions. Preliminary numerical results are also reported.
Morteza Kimiaei, Farzad Rahpeymaii
openalex   +4 more sources

Resolution of semilinear equations by fixed point methods

open access: hybridBulletin of the Belgian Mathematical Society - Simon Stevin, 2000
Pablo Amster, M. C. Mariani
openalex   +3 more sources

Fixed point quasiconvex subgradient method [PDF]

open access: yesEuropean Journal of Operational Research, 2020
Constrained quasiconvex optimization problems appear in many fields, such as economics, engineering, and management science. In particular, fractional programming, which models ratio indicators such as the profit/cost ratio as fractional objective functions, is an important instance.
Kazuhiro Hishinuma, Hideaki Iiduka
openaire   +3 more sources

Ulam stability of functional equations in 2-Banach spaces via the fixed point method

open access: yesJournal of Fixed Point Theory and Applications, 2021
Using the fixed point method, we prove the Ulam stability of two general functional equations in several variables in 2-Banach spaces. As corollaries from our main results, some outcomes on the stability of a few known equations being special cases of ...
K. CiepliΕ„ski
semanticscholar   +1 more source

A Common Fixed Point Theorem Using an Iterative Method [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2020
Let $ H$ be a Hilbert space and $C$ be a closed, convex and nonempty subset of $H$. Let $T:C rightarrow H$ be a non-self and non-expansive mapping. V. Colao and G.
Ali Bagheri Vakilabad
doaj   +1 more source

A modified fixed point method for biochemical transport

open access: yesBoletim da Sociedade Paranaense de MatemΓ‘tica, 2022
This work is devoted to a modified fixed point method applied to the bio-chemical transport equation. To have a good accuracy for the solution we treat, we apply an implicit scheme to this equation and use a modified fixed point technique to linearize ...
Mohamed Ridouan Amattouch   +1 more
doaj   +1 more source

The Enhanced Fixed Point Method: An Extremely Simple Procedure to Accelerate the Convergence of the Fixed Point Method to Solve Nonlinear Algebraic Equations

open access: yesMathematics, 2022
This work proposes the Enhanced Fixed Point Method (EFPM) as a straightforward modification to the problem of finding an exact or approximate solution for a linear or nonlinear algebraic equation.
Uriel Filobello-Nino   +6 more
doaj   +1 more source

Solving Integral Equation and Homotopy Result via Fixed Point Method

open access: yesMathematics, 2023
The aim of the present research article is to investigate the existence and uniqueness of a solution to the integral equation and homotopy result. To achieve our objective, we introduce the notion of (α,η,ψ)-contraction in the framework of F-bipolar ...
Badriah Alamri
doaj   +1 more source

Geometrically Constructed Family of the Simple Fixed Point Iteration Method

open access: yesMathematics, 2021
This study presents a new one-parameter family of the well-known fixed point iteration method for solving nonlinear equations numerically. The proposed family is derived by implementing approximation through a straight line.
Vinay Kanwar   +6 more
doaj   +1 more source

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