[PDF][PDF] Convergence of S-iterative method to a solution of Fredholm integral equation and data dependency

Y Atalan, F Gursoy, AR Khan - Facta Universitatis, Series …, 2021 - casopisi.junis.ni.ac.rs
The convergence of normal S-iterative method to solution of a nonlinear Fredholm integral
equation with modified argument is established. The corresponding data dependence result …

Fixed Point Results on Multi-Valued Generalized (α,β)-Nonexpansive Mappings in Banach Spaces

K Ullah, MSU Khan, M de la Sen - Algorithms, 2021 - mdpi.com
In this paper, we provide and study the concept of multi-valued generalized (α, β)-
nonexpansive mappings, which is the multi-valued version of the recently developed …

New parallel fixed point algorithms and their application to a system of variational inequalities

S Maldar - Symmetry, 2022 - mdpi.com
In this study, considering the advantages of parallel fixed point algorithms arising from their
symmetrical behavior, new types of parallel algorithms have been defined. Strong …

A comparative study on iterative algorithms of almost contractions in the context of convergence, stability and data dependency

E Hacıoğlu - Computational and Applied Mathematics, 2021 - Springer
In this paper, we propose a new iterative algorithm and analyze it in detail inasmuch as
convergence, stability, and data dependency for the class of almost contraction mappings …

Existence and uniqueness of the solution of the fractional differential equation via a new three steps iteration

HL Tidke, GS Patil - Journal of Fractional Calculus and …, 2023 - jfca.journals.ekb.eg
In this paper, we study the existence, uniqueness, and other qualitative properties of the
solution of the differential equation with initial conditions of fractional order involving the …

On shrinking projection method for cutter type mappings with nonsummable errors

T Ibaraki, S Saejung - Journal of Inequalities and Applications, 2023 - Springer
We prove two key inequalities for metric and generalized projections in a certain Banach
space. We then obtain some asymptotic behavior of a sequence generated by the shrinking …

On a variant of Schu's lemma

RI Bot, C Zalinescu - arXiv preprint arXiv:2406.16378, 2024 - arxiv.org
In this note, we demonstrate that an incorrect statement has been propagated in multiple
papers, stemming from the substitution of``lim''with``limsup''for a sequence in Lemma 1.3 of …

Fractional calculus of the extended Bessel-Wright function and its applications to fractional kinetic equations

MP Chaudhary, UM Abubakar - Journal of Fractional Calculus …, 2023 - jfca.journals.ekb.eg
In this article, first of all we introduced a new concept for the $(p, q;\vartheta) $-extended
Bessel-Wright function $ J_ {\omega; p, q}^{\sigma;\varsigma,\lambda}(z;\vartheta) $, and …

[PDF][PDF] On the Fractional Integral Inequalities for p-convex Functions

H MAMEDOV, IY ISIK - Punjab University Journal of Mathematics, 2023 - pu.edu.pk
Inequality theory is one of the major application areas of convexity. Nowadays, the
introduction of novel generalizations of convexity has yielded considerable contributions in …

EXISTENCE AND UNIQUENESS OF SOLUTION OF DIFFERENTIAL EQUATION OF FRACTIONAL ORDER VIA S-ITERATION

HL Tidke, GS Patil, RT More - Facta Universitatis, Series …, 2023 - casopisi.junis.ni.ac.rs
In this paper, we study the existence, uniqueness and other properties of solutions of
differential equation of fractional order involving the Caputo fractional derivative. The tool …