Results 21 to 30 of about 179 (67)
On variational nonlinear equations with monotone operators
Advances in Nonlinear Analysis, 2020 Using monotonicity methods and some variational argument we consider nonlinear problems which involve monotone potential mappings satisfying condition (S) and their strongly continuous perturbations.
Galewski Marek
doaj +1 more source
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
Variant extragradient-type method for monotone variational inequalities
, 2013 Korpelevich’s extragradient method has been studied and extended extensively due to its applicability to the whole class of monotone variational inequalities.
Yonghong Yao, M. Postolache, Y. Liou
semanticscholar +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. +1 more
doaj +1 more source
, 2012 In this article, we introduce iterative methods (implicit and explicit) for finding a common fixed point set of a countable family of strict pseudo-contractions, which is a unique solution of some variational inequality.
P. Sunthrayuth, Poom Kumam
semanticscholar +1 more source
A general composite iterative method for strictly pseudocontractive mappings in Hilbert spaces
, 2014 In this paper, we introduce a new general composite iterative method for finding a fixed point of a strictly pseudocontractive mapping in Hilbert spaces.
J. Jung
semanticscholar +1 more source
Synchronal and cyclic algorithms for fixed point problems and variational inequality problems in Banach spaces [PDF]
Fixed Point Theory and Applications, 2013 In this paper, we study synchronal and cyclic algorithms for finding a common fixed point x∗ of a finite family of strictly pseudocontractive mappings, which solve the variational inequality 〈(γf−μG)x∗,jq(x−x∗)〉≤0,∀x∈⋂i=1NF(Ti), where f is a contraction ...
Abba Auwalu, L. Mohammed, Afis Saliu
semanticscholar +1 more source
, 2013 The purpose of this paper is to study the existence theorems of fixed points, △-convergence and strong convergence theorems for total asymptotically nonexpansive nonself mappings in the framework of CAT(0) spaces.
Li Yang, Fuhai Zhao
semanticscholar +1 more source
Strong convergence of a general iterative algorithm in Hilbert spaces
Journal of Inequalities and Applications, 2013 In this paper, the problem of approximating a common element in the common fixed point set of an infinite family of nonexpansive mappings, in the solution set of a variational inequality involving an inverse-strongly monotone mapping and in the solution ...
Songtao Lv
semanticscholar +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. +3 more
doaj +1 more source