Results 21 to 30 of about 173 (52)

Critical point result of Schechter type in a Banach space [PDF]

, 2016
Using Ekeland's variational principle we give a critical point theorem of Schechter type for extrema on a sublevel set in a Banach space.
Lisei, Hannelore, Vas, Orsolya
core   +2 more sources

Iterative Convergence with Banach Space Valued Functions in Abstract Fractional Calculus

Annals of the West University of Timisoara: Mathematics and Computer Science, 2017
The goal of this paper is to present a semi-local convergence analysis for some iterative methods under generalized conditions. The operator is only assumed to be continuous and its domain is open. Applications are suggested including Banach space valued
Anastassiou George A., Argyros Ioannis K.   +1 more
doaj   +1 more source

Solving an abstract nonlinear eigenvalue problem by the inverse iteration method

, 2017
Let $\left( X,\left\Vert \cdot\right\Vert_{X}\right) $ and $\left( Y,\left\Vert \cdot\right\Vert_{Y}\right) $ be Banach spaces over $\mathbb{R},$ with $X$ uniformly convex and compactly embedded into $Y.$ The inverse iteration method is applied to solve ...
Ercole, Grey
core   +1 more source

Two modified proximal point algorithms in geodesic spaces with curvature bounded above

, 2017
We obtain existence and convergence theorems on two variants of the proximal point algorithm for proper lower semicontinuous convex functions in complete geodesic spaces with curvature bounded above.Comment: 22 pages; some minor corrections were ...
Brown, André EX, Ch'ng, Quee-Lim, Currie, Michael, Grundy, Laura J, Hokanson, Jim, Javer, Avelino, Kerr, Rex, Lee, Chee Wai, Li, Chris, Li, Kezhi, Schafer, William R, Yemini, Eviatar   +11 more
core   +3 more sources

On the proximal point algorithm and demimetric mappings in CAT(0) spaces

Demonstratio Mathematica, 2018
In this paper, we introduce and study the class of demimetric mappings in CAT(0) spaces.We then propose a modified proximal point algorithm for approximating a common solution of a finite family of minimization problems and fixed point problems in CAT(0)
Aremu Kazeem O., Izuchukwu Chinedu, Ugwunnadi Godwin C., Mewomo Oluwatosin T.   +3 more
doaj   +1 more source

Viscosity Approximation for Split Equality Generalized Mixed Equilibrium Problems With Semigroups of Nonexpansive Mappings

Abstract and Applied Analysis
MSC2010 Classification: Primary 47H10, 47H09, 47J05, 47J25 ...
Prashant Patel, Rahul Shukla
doaj   +1 more source

Dynamical Systems Method (DSM) for solving nonlinear operator equations in Banach spaces [PDF]

, 2010
Let $F(u)=h$ be an operator equation in a Banach space $X$, $\|F'(u)-F'(v)\|\leq \omega(\|u-v\|)$, where $\omega\in C([0,\infty))$, $\omega(0)=0$, $\omega(r)>0$ if $r>0$, $\omega(r)$ is strictly growing on $[0,\infty)$. Denote $A(u):=F'(u)$, where $F'(u)$
Ramm, A. G.
core   +7 more sources

Dynamical Systems Gradient method for solving nonlinear equations with monotone operators

, 2008
A version of the Dynamical Systems Gradient Method for solving ill-posed nonlinear monotone operator equations is studied in this paper. A discrepancy principle is proposed and justified. A numerical experiment was carried out with the new stopping rule.
A. G. Ramm, A.G. Ramm, A.G. Ramm, A.G. Ramm, A.G. Ramm, A.G. Ramm, A.G. Ramm, A.G. Ramm, A.G. Ramm, A.G. Ramm, A.G. Ramm, A.G. Ramm, A.G. Ramm, D. Pascali, E. Zeidler, I.V. Skrypnik, J.L. Lions, K. Deimling, M.M. Vainberg, N. S. Hoang, N.S. Hoang, U. Tautenhahn, U. Tautenhahn, V. Ivanov, V.A. Morozov   +24 more
core   +2 more sources

Approximating Fixed Points of Nonself Contractive Type Mappings in Banach Spaces Endowed with a Graph

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
Let K be a non-empty closed subset of a Banach space X endowed with a graph G. We obtain fixed point theorems for nonself G-contractions of Chatterjea type.
Balog Laszlo, Berinde Vasile, Păcurar Mădălina   +2 more
doaj   +1 more source

A golden ratio technique for equilibrium problem in reflexive Banach spaces

Demonstratio Mathematica
In this article, we present a self-adaptive subgradient extragradient method for approximating solutions of equilibrium problems with pseudomonotone and Lipschitz type bifunctions in the context of reflexive Banach spaces.
Abass Hammed A., Adamu Abubakar, Oyewole Olawale K., Aphane Maggie   +3 more
doaj   +1 more source