Results 31 to 40 of about 67 (63)

Halpern-type proximal point algorithm in complete CAT(0) metric spaces

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
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

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

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

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

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

Modified inertia Halpern method for split null point problem in Banach spaces [PDF]

In this paper, we study split null point problem in reflexive Banach spaces. Using the Bregman technique together with a modified inertial Halpern method, we approximate a solution of split null point problem.
ABASS, Hammed Anuoluwapo, UGWUNNADI, Godwin, NARAIN, Ojen   +2 more
core   +1 more source

Fixed point theorems for asymptotically pseudocontactive maps in certain Banach Spaces

, 2004
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

Existence results for non-coercive problems

Advances in Nonlinear Analysis
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, Galewski Marek, Šmarda Zdenĕk   +2 more
doaj   +1 more source

Iterative approximation method for finite family of relatively quasi nonexpansive mappings and systems of equilibrium problems

Relatively quasi nonexpansive mappings, Equilibrium problems, Hybrid method, Banach spaces, 47H06, 47H09, 47J05, 47J25,
Yekini Shehu
core   +1 more source

Strong convergence theorems for variational inequalities and relatively weak nonexpansive mappings

Variational inequalities, Relatively weak nonexpansive mappings, Generalized projection, Cauchy sequences, Continuity, 47H09, 47H05, 47J25, 47J05,
Ying Liu
core   +1 more source