Approximation of common solutions of nonlinear problems involving various classes of mappings

Ofoedu, E. U.; Araka, N. N.; Madu, L. O.

doi:10.1007/s11784-018-0645-z

Cited by 4 publications

(2 citation statements)

References 31 publications

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“…It has been shown in several research that the set of ϱ−demimetric mappings contains so many classes of important mappings (see for example, [21,24,25,36,37,39,40]). Takahashi [38] also showed that the fixed point set F ix(T ) of ϱ−demimetric mappings is closed and convex.…”

Section: Introductionmentioning

confidence: 99%

Inertial Scheme for Solving Two-Level Variational Inequality and Fixed Point Problem Involving Pseudomonotone and ϱ — Demimetric Mappings

Godwin

Araka

Okeke

et al. 2022

Preprint

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This work approximates the solution of two-level variational inequality and fixed point problem in a real Hilbert space where the underlying operators are pseudo-monotone and ϱ-demimetric. An iterative algorithm was developed and shown to converge strongly to the solution set of two-level variational inequality and fixed point problem. Four numerical examples are presented to further demonstrate the usefulness and applicability of our method. The result obtained extends, generalizes and compliments several existing results in this direction of research.

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Section: Introductionmentioning

confidence: 99%

Inertial Scheme for Solving Two-Level Variational Inequality and Fixed Point Problem Involving Pseudomonotone and ϱ — Demimetric Mappings

Godwin

Araka

Okeke

et al. 2022

Preprint

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“…Takahashi [7] proved that the fixed point set Fix(T ) of a ρdemimetric mapping T is closed and convex. From [8,9,10,11,12], we see that the class of ρ-demimetric mappings includes numerous important classes nonlinear mappings as its special case.…”

Section: Introductionmentioning

confidence: 99%

An inertial scheme for solving bi-level variational inequalities and the fixed point problem with pseudomonotone and $\varrho$-demimetric mappings

2022

Appl. Set-Valued Anal. Optim.

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This paper investigates the solutions of a bi-level variational inequality problem and the fixed point problem of the operators, which are pseudo-monotone and ρ-demimetric in the framework of Hilbert spaces. An iterative scheme is presented and it is proved to be strongly convergent to the solution of the two problem. Four numerical examples are presented to demonstrate the usefulness and applicability of our scheme. The result obtained in this paper extends, generalizes, and compliments several existing results in this direction of this research.

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Algorithmic procedure for approximate solution of split problems involving various classes of mappings

Araka

Ibeh

Ofoedu

2023

J Anal

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Approximation of common solutions of nonlinear problems involving various classes of mappings

Cited by 4 publications

References 31 publications

Inertial Scheme for Solving Two-Level Variational Inequality and Fixed Point Problem Involving Pseudomonotone and ϱ — Demimetric Mappings

Inertial Scheme for Solving Two-Level Variational Inequality and Fixed Point Problem Involving Pseudomonotone and ϱ — Demimetric Mappings

An inertial scheme for solving bi-level variational inequalities and the fixed point problem with pseudomonotone and $\varrho$-demimetric mappings

Algorithmic procedure for approximate solution of split problems involving various classes of mappings

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