Iteration and Sensitivity for a Nonlinear Spatial Equilibrium Problem *

2020 ◽  
pp. 91-107
Author(s):  
Caulton L. Irwin ◽  
Chin W. Yang
Keyword(s):  
Equilibrium Problem ◽  
Spatial Equilibrium

A special spatial equilibrium problem

Networks ◽  
1984 ◽  
Vol 14 (1) ◽  
pp. 75-81 ◽  
Author(s):  
Jong-Shi Pang ◽  
Chang-Sung Yu
Keyword(s):  
Equilibrium Problem ◽  
Spatial Equilibrium

On the Equilibrium Problem of a Soft Network Shell in the Presence of Several Point Loads

2013 ◽  
Vol 392 ◽  
pp. 188-190 ◽  
Author(s):  
Ildar B. Badriev ◽  
Victor V. Banderov ◽  
O.A. Zadvornov
Keyword(s):  
Existence Theorem ◽  
Equilibrium Problem ◽  
Explicit Form ◽  
Integral Identity ◽  
Auxiliary Problem ◽  
Delta Function ◽  
Spatial Equilibrium ◽  
External Point ◽  
The Right ◽  
Generalized Statement

We consider a spatial equilibrium problem of a soft network shell in the presence of several external point loads concentrated at some pairwise distinct points. A generalized statement of the problem is formulated in the form of integral identity. Then we introduce an auxiliary problem with the right-hand side given by the delta function. For the auxiliary problem we are able to find the solution in an explicit form. Due to this, the generalized statement of the problem under consideration is reduced to finding the solution of the operator equation. We establish the properties of the operator of this equation (boundedness, continuity, monotonicity, and coercitivity), which makes it possible to apply known general results from the theory of monotone operatorsfor the proof of the existence theorem. It is proved that the set of solutions of the generalized problem is non-empty, convex, and closed.

Iterative algorithm for a split equilibrium problem and fixed problem for finite asymptotically nonexpansive mappings in Hlbert space

Filomat ◽  
2017 ◽  
Vol 31 (5) ◽  
pp. 1423-1434 ◽  
Author(s):  
Sheng Wang ◽  
Min Chen
Keyword(s):  
Equilibrium Problem ◽  
Iterative Algorithm ◽  
Nonexpansive Mappings ◽  
Common Element ◽  
Fixed Point Set ◽  
Split Equilibrium Problem ◽  
Asymptotically Nonexpansive Mappings ◽  
Asymptotically Nonexpansive ◽  
Point Set ◽  
The Common

In this paper, we propose an iterative algorithm for finding the common element of solution set of a split equilibrium problem and common fixed point set of a finite family of asymptotically nonexpansive mappings in Hilbert space. The strong convergence of this algorithm is proved.

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