Results 51 to 60 of about 196,053,663 (109)

Fixed point theory in metric type spaces

, 2015
Written by a team of leading experts in the field, this volume presents a self-contained account of the theory, techniques and results in metric type spaces (in particular in G-metric spaces); that is, the text approaches this important area of fixed ...
Roldán-López-de-Hierro, Antonio Francisco, Agarwal, Ravi P, O’Regan, Donal, Karapınar, Erdal, Agarwal,R.P., Karapinar,E., Roldán-López-De-Hierro,A.F., O’regan,D.   +7 more
core   +2 more sources

Comprehensive Approach of an Implicit Hybrid Urysohn–Stieltjes Integral Inclusions via Fractal Differential Constraint

Journal of Mathematics, Volume 2024, Issue 1, 2024.
This investigation establishes the solvability of an implicit hybrid nonlinear Urysohn–Stieltjes type (IHU‐S) integral inclusion. Some sufficient conditions are assumed to prove qualitative features for the solution for this class of inclusions. A comprehensive discussion and analysis, including an example and an application, is presented to illustrate
A. M. A. El-Sayed, H. H. G. Hashem, Sh. M. Al-Issa, Z. M. Assi, Valerii Obukhovskii   +4 more
wiley   +1 more source

Approximate Controllability and Ulam Stability for Second‐Order Impulsive Integrodifferential Evolution Equations with State‐Dependent Delay

International Journal of Differential Equations, Volume 2024, Issue 1, 2024.
In this paper, we shall establish sufficient conditions for the existence, approximate controllability, and Ulam–Hyers–Rassias stability of solutions for impulsive integrodifferential equations of second order with state‐dependent delay using the resolvent operator theory, the approximating technique, Picard operators, and the theory of fixed point ...
Abdelhamid Bensalem, Abdelkrim Salim, Mouffak Benchohra, Gaston N’Guérékata, Amar Nath Chatterjee   +4 more
wiley   +1 more source

Some generalizations of Darbo's fixed point theorem under weak topology features with application to a Volterra-type integral equation

Applied General Topology
In this paper, we provide some generalizations of Darbo's fixed point theorem for larger classes of contraction. Our results are investigated under the weak topology of a Banach space using the measure of weak noncompactness. The results presented in the paper generalize and extend several well-known comparable results in the literature.
Mohamed Khazou, Abdelmjid Khchine
openaire   +3 more sources

A Short And Constructive Proof of Tarski's Fixed-Point Theorem [PDF]

I give short and constructive proofs of Tarski's fixed-point theorem, and of a much-used extension of Tarski's fixed-point theorem to set- valued maps.tarski, fixed-point theorem, supermodular, supermodular games, strategic complementarities, equilibrium
Federico Echenique
core  

A new class of nonexpansive type mappings and fixed points [PDF]

, 1976
summary:In this paper a new class of self-mappings on metric spaces, which satisfy the nonexpensive type condition (3) below is introduced and investigated. The main result is that such mappings have a unique fixed point.
Ćirić, Ljubomir B., Ljubomir B. Ćirić, Joseph Bogin   +2 more
core   +1 more source

Some fixed point theorems for discontinuous mappings [PDF]

This paper provides a fixed point theorem à la Schauder, where the mappings considered are possibly discontinuous. Our main result generalizes and unifies several well-known results.Schauder fixed point theorem, Brouwer fixed point theorem, discontinuity.
Philippe Bich
core  

On monotonic solutions of an integral equation of Abel type [PDF]

, 2008
summary:We present an existence theorem for monotonic solutions of a quadratic integral equation of Abel type in $C[0,1]$. The famous Chandrasekhar's integral equation is considered as a special case.
Darwish, Mohamed Abdalla, Mohamed Abdalla Darwish   +1 more
core   +1 more source

On the existence of solutions of infinite systems of Volterra-Hammerstein-Stieltjes integral equations

Advances in Nonlinear Analysis
In this article, we deal with the solvability of an infinite system of Volterra-Hammerstein-Stieltjes integral equations in the space of continuous and bounded functions defined on R+{{\mathbb{R}}}_{+} with values in the sequence space l1{l}_{1}.
Chlebowicz Agnieszka, Rzepka Beata
doaj   +1 more source

Nonlinear Inequality, Fixed Point and NashEquilibrium [PDF]

In this paper, we give new sufficient conditions for the existence of a solution of theg-maximum equality. As a consequence, we prove a new fixed point theorem.
Moussa Larbani, Rabia Nessah, Tarik Tazdaït   +2 more
core