scholarly journals On nonlinear variational inequalities

1991 ◽  
Vol 14 (2) ◽  
pp. 399-402 ◽  
Author(s):  
Muhammed Aslam Noor
Keyword(s):  
Fixed Point ◽  
Approximate Solution ◽  
Variational Inequalities ◽  
Boundary Value Problems ◽  
Iterative Algorithm ◽  
Boundary Value ◽  
Existence Of A Solution ◽  
Odd Order ◽  
Fixed Point Technique

The fixed point technique is used to prove the existence of a solution for a class of nonlinear variational inequalities related with odd order constrained boundary value problems and to suggest an iterative algorithm to compute the approximate solution.

scholarly journals General algorithm and sensitivity analysis for variational inequalities

1992 ◽  
Vol 5 (1) ◽  
pp. 29-41 ◽  
Author(s):  
Muhammad Aslam Noor
Keyword(s):  
Sensitivity Analysis ◽  
Fixed Point ◽  
Variational Inequalities ◽  
Complementarity Problems ◽  
General Algorithm ◽  
Projection Technique ◽  
Existence Of A Solution ◽  
Odd Order ◽  
Special Cases ◽  
Fixed Point Technique

The fixed point technique is used to prove the existence of a solution for a class of variational inequalities related to odd order boundary value problems, and to suggest a general algorithm. We also study the sensitivity analysis for these variational inequalities and complementarity problems using the projection technique. Several special cases are discussed, which can be obtained from our results.

SEMI-COERCIVE VARIATIONAL INEQUALITIES WITH UNCERTAIN INPUT DATA.

2005 ◽  
Vol 15 (02) ◽  
pp. 273-299 ◽  
Author(s):  
IVAN HLAVÁČEK ◽  
JÁN LOVÍŠEK
Keyword(s):  
Variational Inequalities ◽  
Boundary Value Problems ◽  
Continuous Dependence ◽  
Input Data ◽  
Boundary Value ◽  
Existence Of A Solution ◽  
Elastic Shells ◽  
Uncertain Input ◽  
Uncertain Input Data

A generalization of the Fichera's theory for semi-coercive unilateral boundary value problems is presented. We study the existence of a solution, its uniqueness and continuous dependence on the input data. The results are applied to the theory of shallow elastic shells with uncertain material coefficients, slip limit and loading. Then the method of worst scenario (anti-optimization) is employed.

scholarly journals Existence of an approximate solution for a class of fractional multi-point boundary value problems with the derivative term

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Yanbin Sang ◽  
Luxuan He
Keyword(s):  
Fixed Point ◽  
Approximate Solution ◽  
Boundary Value Problems ◽  
Unique Solution ◽  
Fixed Point Theorems ◽  
Nonlinear Operator ◽  
Boundary Value ◽  
Point Boundary ◽  
Derivative Term ◽  
Fractional Boundary Value Problems

AbstractIn this paper, we consider a class of fractional boundary value problems with the derivative term and nonlinear operator term. By establishing new mixed monotone fixed point theorems, we prove these problems to have a unique solution, and we construct the corresponding iterative sequences to approximate the unique solution.

scholarly journals Existence of the Solutions of Nonlinear Fractional Differential Equations Using the Fixed Point Technique in Extended b-Metric Spaces

Symmetry ◽  
2021 ◽  
Vol 13 (2) ◽  
pp. 158
Author(s):  
Liliana Guran ◽  
Monica-Felicia Bota
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Boundary Value ◽  
Fixed Point Problem ◽  
Point Problem ◽  
Existence Of A Solution ◽  
Shadowing Property ◽  
Limit Shadowing ◽  
Type Boundary ◽  
Cyclic Type

The purpose of this paper is to prove fixed point theorems for cyclic-type operators in extended b-metric spaces. The well-posedness of the fixed point problem and limit shadowing property are also discussed. Some examples are given in order to support our results, and the last part of the paper considers some applications of the main results. The first part of this section is devoted to the study of the existence of a solution to the boundary value problem. In the second part of this section, we study the existence of solutions to fractional boundary value problems with integral-type boundary conditions in the frame of some Caputo-type fractional operators.

scholarly journals Existence of Multiple Positive Solutions for Even Order Multi-Point Boundary Value Problems

2007 ◽  
Vol 14 (4) ◽  
pp. 775-792
Author(s):  
Youyu Wang ◽  
Weigao Ge
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Boundary Value Problem ◽  
Boundary Value Problems ◽  
Positive Solutions ◽  
Boundary Value ◽  
Sufficient Conditions ◽  
Multiple Positive Solutions ◽  
Point Boundary ◽  
Even Order

Abstract In this paper, we consider the existence of multiple positive solutions for the 2𝑛th order 𝑚-point boundary value problem: where (0,1), 0 < ξ 1 < ξ 2 < ⋯ < ξ 𝑚–2 < 1. Using the Leggett–Williams fixed point theorem, we provide sufficient conditions for the existence of at least three positive solutions to the above boundary value problem. The associated Green's function for the above problem is also given.

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