Results 11 to 20 of about 399,091 (169)

Solving Equilibrium Problem and Fixed Point Problem by Normal S-iteration Process in Hilbert Space

European Journal of Mathematical Analysis, 2022
The main purpose of this paper is to find a common element in the solution set of equilibrium problem and fixed point problem of non-expansive mappings in the real Hilbert space with the help of normal S-iteration process.
Shamshad Husain, Mohd Asad
doaj   +1 more source

Modified Halpern Iterative Method for Solving Hierarchical Problem and Split Combination of Variational Inclusion Problem in Hilbert Space

Mathematics, 2019
The purpose of this paper is to introduce the split combination of variational inclusion problem which combines the concept of the modified variational inclusion problem introduced by Khuangsatung and Kangtunyakarn and the split variational inclusion ...
Bunyawee Chaloemyotphong, Atid Kangtunyakarn   +1 more
doaj   +1 more source

Modified Iterative Schemes for a Fixed Point Problem and a Split Variational Inclusion Problem

Mathematics, 2022
In this paper, we alter Wang’s new iterative method as well as apply it to find the common solution of fixed point problem (FPP) and split variational inclusion problem (SpVIP) in Hilbert space.
Mohammad Akram, Mohammad Dilshad, Arvind Kumar Rajpoot, Feeroz Babu, Rais Ahmad, Jen-Chih Yao   +5 more
doaj   +1 more source

Δ-convergence for proximal point algorithm and fixed point problem in CAT(0) spaces

Fixed Point Theory and Applications, 2019
In this paper, we prove the Δ-convergence of a modified proximal point algorithm for common fixed points in a CAT(0) space for different classes of generalized nonexpansive mappings including a total asymptotically nonexpansive mapping, a multivalued ...
Shamshad Husain, Nisha Singh
doaj   +1 more source

On the nonlinear implicit complementarity problem

International Journal of Mathematics and Mathematical Sciences, 1993
In this paper, we consider a new class of implicit complementarity problem and study the existence of its solution. An iterative algorithm is also given to find the approximate solution of the new problem and prove that this approximate solution ...
A. H. Siddiqi, Q. H. Ansari
doaj   +1 more source

The split common fixed point problem for infinite families of demicontractive mappings

Fixed Point Theory and Applications, 2018
In this paper, we propose a new algorithm for solving the split common fixed point problem for infinite families of demicontractive mappings. Strong convergence of the proposed method is established under suitable control conditions.
Adisak Hanjing, Suthep Suantai
doaj   +1 more source

Convergence Rate Analysis for Averaged Fixed Point Iterations in Common Fixed Point Problems [PDF]

SIAM Journal on Optimization, 2017
Summary: In this paper, we establish sublinear and linear convergence of fixed point iterations generated by averaged operators in a Hilbert space. Our results are achieved under a bounded Hölder regularity assumption which generalizes the well-known notion of bounded linear regularity.
Borwein, JM, Li, G, Tam, MK
openaire   +3 more sources

Fixed point structures on a set-mapping pair and cartesian product

Annals of the West University of Timisoara: Mathematics and Computer Science, 2022
In this paper we study the following problem (Problem 4.2 in, I.A. Rus, Sets with structure, mappings and fixed point property: fixed point structures, Fixed Point Theory 23, No. 2 (2022), 689-706):
Rus Ioan A., Şerban Marcel-Adrian
doaj   +1 more source

Parallel synchronous algorithm for nonlinear fixed point problems [PDF]

International Journal of Mathematics and Mathematical Sciences, 2005
We give in this paper a convergence result concerning parallel synchronous algorithm for nonlinear fixed point problems with respect to the Euclidian norm in ℝn. We then apply this result to some problems related to convex analysis like minimization of functionals, calculus of saddle point, and convex programming.
ADDOU, AHMED, BENAHMED, ABDENASSER
openaire   +5 more sources

Proximal Gradient Method for Solving Bilevel Optimization Problems

Mathematical and Computational Applications, 2020
In this paper, we consider a bilevel optimization problem as a task of finding the optimum of the upper-level problem subject to the solution set of the split feasibility problem of fixed point problems and optimization problems.
Seifu Endris Yimer, Poom Kumam, Anteneh Getachew Gebrie   +2 more
doaj   +1 more source