System of generalized mixed nonlinear ordered variational inclusions

Salahuddin

doi:10.3934/naco.2019026

Article Contents

2019, Volume 9, Issue 4: 445-460. Doi: 10.3934/naco.2019026

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$ \theta $

scheme with two dimensional wavelet-like incremental unknowns for a class of porous medium diffusion-type equations

System of generalized mixed nonlinear ordered variational inclusions

Salahuddin^,

Department of Mathematics, Jazan University, Jazan, 45142, KSA

^* Corresponding author: Salahuddin
^* Corresponding author: Salahuddin

Received: November 2017

Revised: April 2019

Published: November 2019

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Abstract

In this paper, we consider a system of generalized mixed nonlinear ordered variational inclusions in partially ordered Banach spaces and suggest an algorithm for a solution of the considered system. We prove an existence and convergence result for the solution of the system of generalized mixed nonlinear ordered variational inclusions.

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Mathematics Subject Classification: Primary: 49J40, 47H09; Secondary: 47J20.

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