New generalized systems of nonlinear ordered variational inclusions involving ⊕ operator in real ordered Hilbert spaces

Mohd Sarfaraz; Kottakkaran Sooppy Nisar; Ahmed Morsy; Md Kalimuddin Ahmad

doi:10.1186/s13660-018-1846-0

New generalized systems of nonlinear ordered variational inclusions involving ⊕ operator in real ordered Hilbert spaces

Mohd Sarfaraz, Kottakkaran Sooppy Nisar, Ahmed Morsy, Md Kalimuddin Ahmad

Aligarh Muslim University

Research output: Contribution to journal › Article › peer-review

Abstract

This manuscript deals with two general systems of nonlinear ordered variational inclusion problems. We also construct some new iterative algorithms for finding approximation solutions to the general systems of nonlinear ordered variational inclusions and prove the convergence of the sequences obtained by the schemes. The results presented in the manuscript are new and improve some well-known results in the literature.

Original language	English
Article number	252
Journal	Journal of Inequalities and Applications
Volume	2018
DOIs	https://doi.org/10.1186/s13660-018-1846-0
State	Published - 2018

Keywords

Algorithm
Nonlinear ordered variational inclusions
Ordered Hilbert space
System
Weak-ARD mapping

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10.1186/s13660-018-1846-0

Cite this

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title = "New generalized systems of nonlinear ordered variational inclusions involving ⊕ operator in real ordered Hilbert spaces",

abstract = "This manuscript deals with two general systems of nonlinear ordered variational inclusion problems. We also construct some new iterative algorithms for finding approximation solutions to the general systems of nonlinear ordered variational inclusions and prove the convergence of the sequences obtained by the schemes. The results presented in the manuscript are new and improve some well-known results in the literature.",

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AU - Morsy, Ahmed

AU - Ahmad, Md Kalimuddin

PY - 2018

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N2 - This manuscript deals with two general systems of nonlinear ordered variational inclusion problems. We also construct some new iterative algorithms for finding approximation solutions to the general systems of nonlinear ordered variational inclusions and prove the convergence of the sequences obtained by the schemes. The results presented in the manuscript are new and improve some well-known results in the literature.

AB - This manuscript deals with two general systems of nonlinear ordered variational inclusion problems. We also construct some new iterative algorithms for finding approximation solutions to the general systems of nonlinear ordered variational inclusions and prove the convergence of the sequences obtained by the schemes. The results presented in the manuscript are new and improve some well-known results in the literature.

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KW - Nonlinear ordered variational inclusions

KW - Ordered Hilbert space

KW - System

KW - Weak-ARD mapping

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DO - 10.1186/s13660-018-1846-0

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JO - Journal of Inequalities and Applications

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ER -

New generalized systems of nonlinear ordered variational inclusions involving ⊕ operator in real ordered Hilbert spaces

Abstract

Keywords

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