On the Solutions of a Quadratic Integral Equation of the Urysohn Type of Fractional Variable Order. [PDF]
Benkerrouche A +3 more
europepmc +1 more source
Borsuk's antipodal and fixed-point theorems for correspondences without convex values [PDF]
We present an extension of Borsuk's antipodal theorem (existence of a zero) for antipodally approachable correspondences without convex values. This result is a generalization of Borsuk-Ulam Theorem and has a fixed-point equivalent formulation.Borsuk's ...
Jean-Marc Bonnisseau +3 more
core
Fixed point theorems for set-valued contraction type maps in metric spaces
We first give some fixed point results for set-valued self-map contractions in complete metric spaces. Then we derive a fixed point theorem for nonself set-valued contractions which are metrically inward. Our results generalize many well-known results in
Amini-Harandi, A, O'Regan, D
core +1 more source
On A Fixed Point Theorem For The Product Of Operators
In this paper, we study the existence of fixed points for the product of nonlinear operators. This kind of fixed point theorems is necessary in consideration of quadratic differential and integral problems.
Cichoń M., Metwali M.M.A.
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ON THE SMARANDACHE FUNCTION AND THE FIXED - POINT THEORY OF NUMBERS [PDF]
This brief note points out several basic connections between the Smarandache function, fixed-point theory and prime-number theory. First recall that fixed-point theory in function spaces provides elegent, if not short, proofs of the existence of ...
Mullin, Albert
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Solvability of integral equations via the technique of measures of noncompactness
Motivated by the work of [Mohammadi et al., Mathematics, 2019, 7, 575.], we extend here Darbo’s fixed point theorem in a Banach space using the combined technique of Wardowski-Mizoguchi-Takahashi contraction.
Babak Mohammadi +2 more
doaj +1 more source
BANACH FIXED POINT THEOREM [PDF]
Banach fixed point theorem (contraction theorem) is a unique fixed point theorem on a mapping called the contraction of a complete metric space into it self. The space is said to be complete if every Cauchy sequence in converges.
Alsitaningtyas, Yunike Jemis Fifnelavindy
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New Results on Fixed Points and Coupled Fixed Points for α-Admissible Condensing Operators
This paper introduces a novel class of condensing mappings through the concept of α-admissibility. We prove several extensions of Darbo’s fixed point theorem within this framework, including a generalized contractive condition and a coupled fixed point ...
Taoufik Moulahi, Najmeddine Attia
doaj +1 more source
Fixed point theorems via Nash Equilibria [PDF]
In this note we show that the fixed points of a continuous function (or of an upper semi-continuous correspondence, with non-empty and convex values) can be attained as Nash Equilibria of a game with finitely many players.
Juan Pablo Torres-Martínez
core
Existence Of A Unique Mild Solution To A Fractional Thermostat Model Via A Rus'S Fixed Point Theorem
The purpose of this paper is to study the existence of a unique solution of a nonlinear fractional boundary value problem which can be considered as the fractional version of the thermostat model.
Lopez, B., Sadarangani, K., Harjani, J.
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