Iterative algorithms of common solutions for a hierarchical fixed point problem, a system of variational inequalities, and a split equilibrium problem in Hilbert spaces

Zhao, Yue; Liu, Xin; Sun, Runyuan

doi:10.1186/s13660-021-02645-4

Cited by 3 publications

(1 citation statement)

References 33 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Akram et al (5) worked on FPP and split variational inclusion problem. Many researchers introduced different iterative schemes to find out the solutions of VIPs (6)(7)(8)(9)(10)(11) . Lamba and Panwar (12) and Panwar et al (13) introduced iterative schemes for nonexpansive mappings.…”

Section: Introductionmentioning

confidence: 99%

Iterative Approach for Solving Variational Inequality Problems using Fixed Point Concept

Panwar¹,

Kumar²

2023

IJST

View full text Add to dashboard Cite

Objectives:The objective of the paper is to find the solutions of variational inequality problems via the concept of common fixed point of a sequence of nearly nonexpansive mappings. Methods: The present work uses three step iterative algorithm to get the solutions of variational inequality problems. Findings: By applying three step iterative algorithm, solutions of variational inequality problem has been obtained. Novelty: In the present work, a specific three step iterative algorithm has been deployed to get solution. Furthermore, Matlab programming has been utilised to eastablish the accuracy of the results.

show abstract

Section: Introductionmentioning

confidence: 99%

Iterative Approach for Solving Variational Inequality Problems using Fixed Point Concept

Panwar¹,

Kumar²

2023

IJST

View full text Add to dashboard Cite

show abstract

The Iterative Method for Generalized Equilibrium Problems and a Finite Family of Lipschitzian Mappings in Hilbert Spaces

Kangtunyakarn

Suwannaut

2022

Journal of Mathematics

View full text Add to dashboard Cite

In this research, we introduced the S -mapping generated by a finite family of contractive mappings, Lipschitzian mappings and finite real numbers using the results of Kangtunyakarn (2013). Then, we prove the strong convergence theorem for fixed point sets of finite family of contraction and Lipschitzian mapping and solution sets of the modified generalized equilibrium problem introduced by Suwannaut and Kangtunyakarn (2014). Finally, numerical examples are provided to illustrate our main theorem.

show abstract

An Iterative Method for Split Variational Inclusion Problem and Split Fixed Point Problem for Averaged Mappings

Wang¹,

Zhao²,

Zhao³

2023

JAMP

Self Cite

View full text Add to dashboard Cite

In this paper, we use resolvent operator technology to construct a viscosity approximate algorithm to approximate a common solution of split variational inclusion problem and split fixed point problem for an averaged mapping in real Hilbert spaces. Further, we prove that the sequences generated by the proposed iterative method converge strongly to a common solution of split variational inclusion problem and split fixed point problem for averaged mappings which is also the unique solution of the variational inequality problem. The results presented here improve and extend the corresponding results in this area.

show abstract

Iterative algorithms of common solutions for a hierarchical fixed point problem, a system of variational inequalities, and a split equilibrium problem in Hilbert spaces

Cited by 3 publications

References 33 publications

Iterative Approach for Solving Variational Inequality Problems using Fixed Point Concept

Iterative Approach for Solving Variational Inequality Problems using Fixed Point Concept

The Iterative Method for Generalized Equilibrium Problems and a Finite Family of Lipschitzian Mappings in Hilbert Spaces

An Iterative Method for Split Variational Inclusion Problem and Split Fixed Point Problem for Averaged Mappings

Contact Info

Product

Resources

About