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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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Fractionally Balanced Hypergraphs and Rainbow KKM Theorems
A d -partite hypergraph is called fractionally balanced if there exists a non-negative, not identically zero, function on its edge set that has...
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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...
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A Sparse Colorful Polytopal KKM Theorem
Recently Soberón (Proc. Am. Math. Soc. Ser. B 9 , 404–414 (2022)) proved a far-reaching generalization of the colorful KKM Theorem due to Gale (Int....
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On Vector Quasi-Equilibrium Problems Via a Browder-Type Fixed-Point Theorem
This paper aims to provide new sufficient conditions for the existence of solutions to a vector quasi-equilibrium problem with set-valued map**s....
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Existence and connectedness of the l-minimal approximate solutions for set optimization problems: an application in generalized multiobjective robustness
The goal of this paper is to study the existence and connectedness of the l -minimal approximate solutions of the set-valued optimization problem...
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History of the Brouwer Fixed Point Theorem
The history of the Brouwer fixed point theorem, closely linked to the history of the Brouwer degree, is particularly intricated and is a case story...
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Existence Results for a Class of Variational Quasi-Mixed Hemivariational-Like Inequalities
The paper aims to explore the existence results for a class of variational quasi-mixed hemivariational-like inequality problems with nonlinear terms...
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Nonconvex Equilibrium Problems Via a KKM Theorem
In this paper, we establish existence results for vector equilibrium problems without convexity assumptions on the whole domain, but just on the...
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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...
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Nonlinear analysis in p-vector spaces for single-valued 1-set contractive map**s
The goal of this paper is to develop some fundamental and important nonlinear analysis for single-valued map**s under the framework of p -vector...
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Topological results, Rothe’s principle and Leray–Schauder alternative for the fixed point equation in p-vector spaces
The goal of this paper is to establish some general topological results, Rothe’s principle and Leray–Schauder alternative for the fixed point...
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Existence and generic stability conditions of equilibrium points to controlled systems for n-player multiobjective generalized games using the Kakutani–Fan–Glicksberg fixed-point theorem
The purpose of this article is to establish some results on the existence and generic stability of solution sets of the controlled system for...
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Solvability of generalized vector bifunction variational inequality problem
In this paper, we discuss the solution of generalized vector bifunction variational inequalities of Stampachhia and Minty types with the concept of...
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Semi-infinite interval equilibrium problems: optimality conditions and existence results
This paper aims to obtain new Karush–Kuhn–Tucker optimality conditions for solutions to semi-infinite interval equilibrium problems with...
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Fixed point theorems and applications in p-vector spaces
The goal of this paper is to develop new fixed points for quasi upper semicontinuous set-valued map**s and compact continuous (single-valued)...
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Topological Variants of Vector Variational Inequality Problem
In this paper, we provide a couple of solutions for the vector variational inequality problem, adopting a topological approach. We consider here a...
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Interval variational inequalities and their relationship with interval optimization problems
This article is devoted to studying Stampacchia and Minty variational inequalities for interval-valued functions (IVFs). In the sequel, it is...