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On the Menger Probabilistic Bipolar Metric Spaces: Fixed Point Theorems and Applications
In this paper, we introduce a new class of metric spaces called the Menger probabilistic bipolar metric space and define some other notions related...
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A Solution to Two Old Problems by Menger Concerning Angle Spaces
Around 1930, Menger expressed his interest in the concept of abstract angle function. He introduced a general definition of this notion for metric...
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On extended, and extended rectangular, Menger probabilistic b-metric spaces: applications to the existence of solutions of integral, and fractional differential, equations
We introduce the notions of extended Menger probabilistic b -metric space and extended rectangular Menger probabilistic b -metric space. Thereafter, we...
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Some Properties of Convexity Structure and Applications in b-Menger Spaces
We discuss, in Menger spaces, the notion of convexity using the convex structure introduced by Takahashi (Kodai Math Sem Rep 22:142–149, 1970), then...
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Fixed point theorems for ϕ-contraction map**s in probabilistic generalized Menger space
In this paper, we define the concepts of ϕ -contraction in probabilistic generalized Menger space. We prove that ϕ -contraction map**s in...
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Fixed Point Theorems For Non-Self Map**s With Nonlinear Contractive Condition In Strictly Convex Menger \(PM\mbox{-}\)Spaces
We prove existence and uniqueness of a fixed point for non-self map**s with nonlinear contractive condition defined in strictly convex Menger
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Some remarks on games of certain star selection principles
We present game-theoretic observations related to certain star selection principles initiated in Kočinac [8]. We mainly focus on the variations...
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Carl Menger’s Alternative to the Classical Theory of Value and Distribution, and Marginalism
In his Grundsätze (1871), Carl Menger specified as the main task of his book to surpass and render obsolete the classical economists’ and especially...
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Philosophy Behind Mathematics
In this chapter, we look at how philosophical standpoints widely held by mathematicians, conventionalism, and logical positivism were brought about...
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A characterization of completeness of Menger PM-spaces
The purpose of this paper is to obtain an answer, in the setting of Menger PM-spaces, to the question on the existence of contractive map**s which...
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Vertex-Flames in Countable Rooted Digraphs Preserving an Erdős-Menger Separation for Each Vertex
It follows from a theorem of Lovász that if D is a finite digraph with r ∈ V(D) , then there is a spanning subdigraph E of D such that for every...
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Approximate coincidence point and common fixed point results for a hybrid pair of map**s with constraints in partially ordered Menger PM-spaces
We study an approximate coincidence point and a common fixed point problem for a hybrid pair of map**s with constraints in Menger PM-spaces, and...
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Connectivity
Connectivity is a key property of graphs. The central result on connectivity of graphs is the theorem of Menger, a result of min–max type with...
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Student Life. Moving to Vienna
We describe in this chapter the intellectual and academic environment in which he found himself, and his student years, 1924-29. He began his studies...
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Disjoint paths in the enhanced hypercube with a faulty subgraph
Problems about embedding of disjoint paths in interconnection networks have received much attention in recent years. A connected graph G is strong...
