Results 11 to 20 of about 10,928,537 (263)

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

open access: yesEuropean 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

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

open access: yesFixed 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

open access: yesInternational 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

open access: yesFixed 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

UNIQUE FIXED POINT THEOREMS FOR CONTRACTIVE MAPS TYPE IN T 0 -QUASI-METRIC SPACES [PDF]

open access: yes, 2014
In [2], Agyingi proved that every generalized contractive mapping defined in a q-spherically complete T 0 -ultra-quasi-metric space has a unique fixed point.
Yae ́ Ulrich Gaba
core   +1 more source

Hölder-type spaces, singular operators, and fixed point theorems

open access: yes, 2021
In this note, we give a sufficient condition for the existence of Hölder-type solutions to a class of fractional initial value problems involving Caputo derivatives.
López Brito, María Belén   +4 more
core   +1 more source

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

open access: yesAnnals 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

Proximal Gradient Method for Solving Bilevel Optimization Problems

open access: yesMathematical 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   +2 more
doaj   +1 more source

Theory and Application of Fixed Point [PDF]

open access: yes, 2021
In the past few decades, several interesting problems have been solved using fixed point theory. In addition to classical ordinary differential equations and integral equation, researchers also focus on fractional differential equations (FDE) and ...

core   +1 more source

Some Remarks on Multidimensional Fixed Point Theorems

open access: yes, 2014
MARTINEZ-MORENO, JUAN/0000-0002-3340-2781In this paper, we show that most of the multidimensional (including coupled, tripled, quadrupled) fixed point theorems in the context of (ordered) metric spaces are, in fact, immediate consequences of well-known ...
Karapinar, E.   +3 more
core   +2 more sources

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