The existence of equilibrium in a simple exchange model
This paper gives a new proof of the existence of equilibrium in a simple model of an exchange economy. We first formulate and prove a simple combinatorial lemma and then we use it to prove the existence of equilibrium.
Piotr Maćkowiak
semanticscholar +1 more source
Partial metric spaces with negative distances and fixed point theorems [PDF]
In this paper we consider partial metric spaces in the sense of O'Neill. We introduce the notions of strong partial metric spaces and Cauchy functions.
Assaf, Samer, Pal, Koushik
core
Some Notes on Fixed Point Theorems in ν-generalized Metric Spaces [PDF]
We study ν-generalized metric spaces. We first study the concept of Cauchy sequence. We next give a proof of the Banach contraction principle in ν-generalized metric spaces.
Alamri, Badriah+2 more
core +1 more source
On Hilbert Functions of Points in Projective Space and Structure of Graded Modules
In this paper, we investigate the relationship between the Hilbert functions and the associated properties of the graded modules. To attain this, we construct the graded modules from the sets of points in projective space, $\mathbb{P}_k^n$ .
Mgani, Damas Karmel, Mwanzalima, Makungu
core
Set-valued mapping and Rough Probability
In 1982, the theory of rough sets proposed by Pawlak and in 2013, Luay concerned a rough probability by using the notion of Topology. In this paper, we study the rough probability in the stochastic approximation spaces by using set-valued mapping and ...
Firouzian, Siamak+3 more
core
In this article, we introduce the Boyd-Wong type multivalued contractions and demonstrate that such mappings have a fixed point. Additionally, we look at the solvability of a few (k – ~)-Hilfer initial value fractional differential inclusions of order n −
Paunovic Marija+2 more
doaj +1 more source
An analysis on the approximate controllability of neutral impulsive stochastic integrodifferential inclusions via resolvent operators. [PDF]
Ma YK+4 more
europepmc +1 more source
Fixed point results of weakly contraction mappings in partially ordered b-metric spaces. [PDF]
Kalyani K, Seshagiri Rao N.
europepmc +1 more source
Variations of generalized weak contractions in partially ordered b-metric space. [PDF]
Rao NS, Kalyani K.
europepmc +1 more source
Some fixed point results of generalized ( ϕ , ψ )-contractive mappings in ordered <i>b</i>-metric spaces. [PDF]
Mitiku B, Karusala K, Namana SR.
europepmc +1 more source