Results 21 to 30 of about 930 (85)

Convergence and Stability of a Novel M‐Iterative Algorithm with an Application

Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022
In this manuscript, we propose a novel three ‐ step iteration scheme called M ‐ iteration to approximate the invariant points for the class of weak contractions in the sense of Berinde and obtain that M ‐ iteration strongly converges to one and only one fixed point for Berinde mappings.
Manjinder Kaur, Sumit Chandok, Adriana del Carmen Téllez-Anguiano   +2 more
wiley   +1 more source

Fixed Point, Data Dependence, and Well‐Posed Problems for Multivalued Nonlinear Contractions

Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021
The aim of the paper is to discuss data dependence, existence of fixed points, strict fixed points, and well posedness of some multivalued generalized contractions in the setting of complete metric spaces. Using auxiliary functions, we introduce Wardowski type multivalued nonlinear operators that satisfy a novel class of contractive requirements ...
Iram Iqbal, Nawab Hussain, Hamed H. Al-Sulami, Shanza Hassan, Santosh Kumar   +4 more
wiley   +1 more source

Dynamics and Ulam Stability for Fractional q-Difference Inclusions via Picard Operators Theory

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021
In this manuscript, by using weakly Picard operators we investigate the Ulam type stability of fractional q-difference An illustrative example is given in the last section.
Abbas Saïd, Benchohra Mouffak, Karapınar Erdal   +2 more
doaj   +1 more source

Existence Theorems on Advanced Contractions with Applications

Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021
In this research article, by introducing a mapping φ defined on [0,∞)4, with some axioms, we define two generalized contractions called FH+φ‐contractions and φHP+‐contractions. We investigate their mutual relation and establish an existence theorem addressing FH+φ‐contractions with some applications.
Sang Og Kim, Muhammad Nazam, Zoran Mitrovic   +2 more
wiley   +1 more source

A New Class of ψ‐Caputo Fractional Differential Equations and Inclusion

Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021
In the present research work, we investigate the existence of a solution for new boundary value problems involving fractional differential equations with ψ‐Caputo fractional derivative supplemented with nonlocal multipoint, Riemann–Stieltjes integral and ψ‐Riemann–Liouville fractional integral operator of order γ boundary conditions. Also, we study the
Wafa Shammakh, Hadeel Z. Alzumi, Bushra A. AlQahtani, Ching-Feng Wen   +3 more
wiley   +1 more source

Some Random Fixed‐Point Theorems for Weakly Contractive Random Operators in a Separable Banach Space

International Journal of Mathematics and Mathematical Sciences, Volume 2021, Issue 1, 2021., 2021
The aim of this paper is to prove a common random fixed‐point and some random fixed‐point theorems for random weakly contractive operators in separable Banach spaces. A random Mann iterative process is introduced to approximate the fixed point. Finally, the main result is supported by an example and used to prove the existence and the uniqueness of a ...
Kenza Benkirane, Abderrahim EL Adraoui, El Miloudi Marhrani, Nawab Hussain   +3 more
wiley   +1 more source

Data dependence results of a new multistep and S-iterative schemes for contractive-like operators [PDF]

, 2012
In this paper, we prove that convergence of a new iteration and S-iteration can be used to approximate to the fixed points of contractive-like operators.
Gursoy, Faik, Karakaya, Vatan, Rhoades, Billy E.   +2 more
core   +1 more source

On the Number of Zeros of Abelian Integrals: A Constructive Solution of the Infinitesimal Hilbert Sixteenth Problem [PDF]

, 2008
We prove that the number of limit cycles generated by a small non-conservative perturbation of a Hamiltonian polynomial vector field on the plane, is bounded by a double exponential of the degree of the fields.
A. Glutsyuk, A. Glutsyuk, A. Glutsyuk, A. Glutsyuk, A. Khovanskiĭ, A. Khovanskiĭ, A.M. Gabrièlov, A.N. Varchenko, C. Christopher, C. Moura, C. Valleé Poussin de la, C.H. Clemens Jr., D. Hilbert, D. Novikov, D. Novikov, D. Novikov, D. Novikov, D. Novikov, D. Novikov, D. Novikov, Dmitry Novikov, E. Brieskorn, E. Looijenga, F. Dumortier, G. Binyamini, G.S. Petrov, G.S. Petrov, Gal Binyamini, H. Żoła̧dek, I.G. Petrovskiĭ, I.G. Petrovskiĭ, I.G. Petrovskiĭ, J. Milnor, J.P. Françoise, L. Gavrilov, L. Gavrilov, L. Gavrilov, L. Gavrilov, M. Bobieński, M. Caubergh, M. Kashiwara, M. Roitman, M.A. Jebrane, P. Mardeš, R. Roussarie, R. Roussarie, S. Basu, S. Basu, S. Yakovenko, S. Yakovenko, S. Yakovenko, S. Yakovenko, S. Yakovenko, Sergei Yakovenko, V.I. Arnold, V.I. Arnold, W. Fulton, Yu. lyashenko, Yu.S. Ilyashenko, Yu.S. Ilyashenko, Yu.S. Ilyashenko, Yu.S. Ilyashenko, Yu.S. Ilyashenko, Yu.S. Ilyashenko, Yu.S. Ilyashenko   +64 more
core   +2 more sources

A general class of noninstantaneous impulsive fractional differential inclusions in Banach spaces

Advances in Difference Equations, 2017
In this paper we introduce the concept of a PC-mild solution to a general new class of noninstantaneous impulsive fractional differential inclusions involving the generalized Caputo derivative with the lower bound at zero in infinite dimensional Banach ...
JinRong Wang, AG Ibrahim, D O’Regan, Yong Zhou   +3 more
doaj   +1 more source

The Theory of Reich's Fixed Point Theorem for Multivalued Operators

Fixed Point Theory and Applications, 2010
The purpose of this paper is to present a theory of Reich's fixed point theorem for multivalued operators in terms of fixed points, strict fixed points, multivalued weakly Picard operators, multivalued Picard operators, data dependence of the fixed ...
Tania Lazăr, Ghiocel Moţ, Gabriela Petruşel, Silviu Szentesi   +3 more
doaj   +1 more source