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]
Th. M. Rassias (1984) proved that the norm defined over a real vector space π is induced by an inner product if and only if for a fixed integer πβ₯2,βππ=1βπ₯πββ(1/π)ππ=1π₯πβ2=βππ=1βπ₯πβ2ββπβ(1/π)ππ=1π₯πβ2 holds for all π₯1,β¦,π₯πβπ.
Mβ. βEshaghi Gordji, H. Khodaei
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A Fixed Point Method for Convex Systems
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
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Resolution of semilinear equations by fixed point methods
Pablo Amster, M. C. Mariani
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Fixed point quasiconvex subgradient method [PDF]
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
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Ulam stability of functional equations in 2-Banach spaces via the fixed point method
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. CiepliΕski
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A Common Fixed Point Theorem Using an Iterative Method [PDF]
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
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A modified fixed point method for biochemical transport
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
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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
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Solving Integral Equation and Homotopy Result via Fixed Point Method
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 (Ξ±,Ξ·,Ο)-contraction in the framework of F-bipolar ...
Badriah Alamri
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Geometrically Constructed Family of the Simple Fixed Point Iteration Method
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
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