Results 21 to 30 of about 70 (63)
On the solvability of a system of wave and beam equations
We prove new existence results for linearly coupled system of wave and beam equations. The main concept is the matrix spectrum which is a natural extension of standard definition. Using invariant subspaces together with degree theoretic argument we obtain information about the range of the abstract operator.
Juha Berkovits
wiley +1 more source
Ball comparison for three optimal eight order methods under weak conditions
We considered three optimal eighth order method for solving nonlinear equations. In earlier studies Taylors expansions and hypotheses reaching up to the eighth derivative are used to prove the convergence of these methods.
ARGYROS, Ioannis K., GEORGE, Santhosh
core +2 more sources
Halpern-type proximal point algorithm in complete CAT(0) metric spaces
First, Halpern-type proximal point algorithm is introduced in complete CAT(0) metric spaces. Then, Browder convergence theorem is considered for this algorithm and also we prove that Halpern-type proximal point algorithm converges strongly to a zero of ...
Heydari Mohammad Taghi, Ranjbar Sajad
doaj +1 more source
Iterative Convergence with Banach Space Valued Functions in Abstract Fractional Calculus
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. +1 more
doaj +1 more source
On the proximal point algorithm and demimetric mappings in CAT(0) spaces
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. +3 more
doaj +1 more source
A golden ratio technique for equilibrium problem in reflexive Banach spaces
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. +3 more
doaj +1 more source
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 +2 more
doaj +1 more source
Fixed point theorems for asymptotically pseudocontactive maps in certain Banach Spaces
Let E be a real q-uniformly smooth Banach space (for example, Lp or lp spaces ,1‹p‹∞) and let T: E→E be asymptotically pseudocontractive mapping with nonempty fixed point set F(T) and a real sequence {kn} n=1∞ .
Igbokwe, Donatus I, Donatus I Igbokwe
core +1 more source
Relatively quasi nonexpansive mappings, Equilibrium problems, Hybrid method, Banach spaces, 47H06, 47H09, 47J05, 47J25,
Yekini Shehu
core +1 more source
Existence results for non-coercive problems
In this article, we investigate non-coercive variational equations under assumptions related to generalized monotonicity. We present some general abstract tools regarding the existence of bounded solutions and their multiplicity, which we then apply to ...
Diblík Josef +2 more
doaj +1 more source

