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Article
New matching theorems for admissible type maps in topological vector spaces
Using fixed (coincidence) point theory in the literature we present a variety of matching type results for general admissble maps.
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Coincidence theory for better admissible multifunctions
In this paper we present a variety of coincidence results for different classes of maps and we then show how this theory will generate some Ky Fan matching type results.
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A note on homotopy extension KKM type maps
In this paper we present a variety of continuation (homotopy) theorems for general classes of maps in the literature.
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Intersection results for general classes of maps
In this paper we use new coincidence theorems of the author to obtain a variety of Ky Fan matching type theorems for open coverings related to the map or maps. To establish our new matching results, we conside...
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Article
Open AccessAn application of decision theory on the approximation of a generalized Apollonius-type quadratic functional equation
To make better decisions on approximation, we may need to increase reliable and useful information on different aspects of approximation. To enhance information about the quality and certainty of approximating...
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Article
Nontrivial Solutions for a First-order Impulsive Integral Boundary Value Problem on Time Scales
In this paper we use topological degree to study the solvability for a first-order impulsive integral boundary value problem on time scales. We first construct a linear operator, and then obtain the existence ...
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Article
The uniqueness of some singular Kirchhoff equations with non-homogeneous material
In this paper, on the one hand, we prove a new theorem of sub-supersolution method for a generalized Kirchhoff equations with non-homogeneous material; on the other hand, based on the method of lower and upper...
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Article
Open AccessA note on noncompact collectively coincidence point theory
In this paper we present a variety of collectively fixed point and coincidence point results where the maps are not necessarily compact. Our arguments are based on a very general fixed point result in the lite...
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Article
Collectively Coincidence Results and Selecting Families
In this paper we will make use of Brouwer’s fixed point theorem to obtain collectively coincidence point results for multivalued maps belonging to similar classes.
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Article
Bounded Variation Solution for a Class of Kirchhoff Type Problem Involving the 1-Laplacian Operator
In this work, we study the existence of a nontrivial bounded variation solution to a class of nonlocal elliptic problems of Kirchhoff type involving the 1-Laplacian operator in the whole space
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Multiplicity of Solutions of Dirichlet Second Order Boundary Value Problems with Derivative Dependance
In this paper we present some theorems on the multiplicity of fixed points of some operators on a special wedge and using these results we consider ...
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Article
Selecting Families and Coincidence Theory
Using a fixed point result of the author we establish a variety of new collectively coincidence point results between different classes of multivalued maps.
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Article
Continuous selecting families and collectively fixed point theory
A variety of existence theorems for a collective family of set-valued maps are presented. Our results are deduced from fixed point theory for single valued maps associated with the original family.
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Exponential stability of a geometric nonlinear beam with a nonlinear delay term in boundary feedbacks
This paper is concerned with the stabilization of a geometric nonlinear beam with a nonlinear delay term in boundary control. The well-posedness of the closed-loop system where a nonlinear dam** and a nonlin...
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Article
Fixed point theorems in generalized Banach spaces under G-weak topology features
In this paper we extend some fixed point results in generalized Banach spaces endowed with the so-called G-weak topology and having the generalized Dunford–Pettis property (in short, G-DP property). Our main r...
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Article
Continuous selections and collectively fixed point theory with applications to generalized games
Using a combination of new and old ideas we present some new collectively fixed point theorems which will then generate some new equilibrium results for generalized games.
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Best approximations of Stochastic bi-homomorphisms and bi-derivations in MC- \(\diamond\) -algebras
We apply stochastic controllers to stable the pseudo stochastic bi-homomorphisms and stochastic bi-derivations in MB-algebra and unital MC- $$\...
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Article
Open AccessA simple proof for Imnang’s algorithms
In this paper, a simple proof of the convergence of the recent iterative algorithm by relaxed ( u ...
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Article
A Strong Convergence Theorem for Solving an Equilibrium Problem and a Fixed Point Problem Using the Bregman Distance
In this paper, using the Bregman distance, we introduce a new projection-type algorithm for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points. Then the stro...
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Robustness for Non-instantaneous Impulsive Equations via Quadratic Lyapunov Functions
In this paper, we introduce an impulsive evolution operator and Lyapunov functions for a linear system and obtain relations between them under suitable conditions. Those relations are used to investigate nonun...
