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A golden ratio technique for equilibrium problem in reflexive Banach spaces

Demonstratio Mathematica
In this article, we present a self-adaptive subgradient extragradient method for approximating solutions of equilibrium problems with pseudomonotone and Lipschitz type bifunctions in the context of reflexive Banach spaces.
Abass Hammed A. +3 more
doaj +1 more source

Continuous selections of solution sets to Volterra integral inclusions in Banach spaces [PDF]

, 2006
We consider a nonlinear Volterra integral equation governed by an m-accretive operator and a multivalued perturbation in a separable Banach. The existence of a continuous selection for the corresponding solution map is proved.
Aizicovici, S., Staicu, Vasile
core +1 more source

Degenerate parabolic equation with zero flux boundary condition and its approximations

, 2013
We study a degenerate parabolic-hyperbolic equation with zero flux boundary condition. The aim of this paper is to prove convergence of numerical approximate solutions towards the unique entropy solution.
Gazibo, Mohamed Karimou
core +1 more source

A result on segmenting Jungck–Mann iterates [PDF]

, 2008
summary:In this paper, following the concepts in [5, 7], we shall establish a convergence result in a uniformly convex Banach space using the Jungck–Mann iteration process introduced by Singh et al [13] and a certain general contractive condition.
Olatinwo, Memudu Olaposi
core

A system of nonlinear set valued variational inclusions. [PDF]