Results 11 to 20 of about 1,627,856 (332)

Soft set-valued mappings and their application in decision making problems

Filomat, 2021
In this paper, we introduce the notion of a set-valued mapping on soft classes and study several properties of images and inverse images of soft sets supported by examples and counterexamples.
İdris Zorlutun
semanticscholar   +1 more source

S-derivative of perturbed mapping and solution mapping for parametric vector equilibrium problems

Journal of Inequalities and Applications, 2021
In this paper, we deal with the sensitivity analysis in vector equilibrium problems by using the S-derivative of a set-valued mapping. We first investigate the S-derivative on a kind of set-valued gap function for the vector equilibrium problems.
Xicai Deng, Wei Zhao
doaj   +1 more source

On the Quantitative Solution Stability of Parameterized Set-Valued Inclusions [PDF]

, 2020
The subject of the present paper are stability properties of the solution set to set-valued inclusions. The latter are problems emerging in robust optimization and mathematical economics, which can not be cast in traditional generalized equations.
A. Uderzo
semanticscholar   +1 more source

Approximate Solutions of a Fixed-Point Problem with an Algorithm Based on Unions of Nonexpansive Mappings

Mathematics, 2023
In this paper, we study a fixed-point problem with a set-valued mapping by using an algorithm based on unions of nonexpansive mappings. We show that an approximate solution is reached after a finite number of iterations in the presence of computational ...
Alexander J. Zaslavski
doaj   +1 more source

Generalized convex set-valued maps

Journal of Mathematical Analysis and Applications, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Benoist, Joël, Popovici, Nicolae
openaire   +2 more sources

Fixed points of set-valued mappings in Menger probabilistic metric spaces endowed with an amorphous binary relation

Applied General Topology, 2023
In this paper, we prove the existence of fixed point results for set-valued mappings in Menger probabilistic metric spaces equipped with an amorphous binary relation and a Hadžić -type t-norm.
Gopi Prasad, Sheetal Deshwal, Rupesh K. Srivastav   +2 more
doaj   +1 more source

An induction theorem and nonlinear regularity models [PDF]

, 2015
A general nonlinear regularity model for a set-valued mapping $F:X\times R_+\rightrightarrows Y$, where $X$ and $Y$ are metric spaces, is considered using special iteration procedures, going back to Banach, Schauder, Lusternik and Graves.
Khanh, Phan Q., Kruger, Alexander Y., Thao, Nguyen H.   +2 more
core   +3 more sources

Some Maximal Elements' Theorems in FC-Spaces

Journal of Inequalities and Applications, 2009
Let I be a finite or infinite index set, let X be a topological space, and let (Yi,φNi)i∈I be a family of FC-spaces. For each i∈I, let Ai:X→2Yi be a set-valued mapping. Some new existence theorems of maximal elements for a set-
Rong-Hua He, Yong Zhang
doaj   +1 more source

A characterization of open mapping in terms of convergent sequences

International Journal of Mathematics and Mathematical Sciences, 2006
It is certainly well known that a mapping between metric spaces is continuous if and only if it preserves convergent sequences. Does there exist a comparable characterization for the mapping to be open?
Irwin E. Schochetman
doaj   +1 more source

Convergence of Inexact Iterative Schemes for Nonexpansive Set-Valued Mappings

Fixed Point Theory and Applications, 2010
Taking into account possibly inexact data, we study iterative schemes for approximating fixed points and attractors of contractive and nonexpansive set-valued mappings, respectively.
Simeon Reich, Alexander J. Zaslavski
doaj   +2 more sources