Results 81 to 90 of about 1,093 (183)

On the semilocal convergence of derivative free methods for solving nonlinear equations

Journal of Numerical Analysis and Approximation Theory, 2012
We introduce a Derivative Free Method (DFM) for solving nonlinear equations in a Banach space setting. We provide a semilocal convergence analysis for DFM using recurrence relations. Numerical examples validating our theoretical results are also provided
Ioannis K. Argyros, Hongmin Ren
doaj   +2 more sources

A new approach to infinite systems of integral equations in Fréchet function spaces

Advances in Nonlinear Analysis
This paper proposes a more effective method for investigating the solvability of infinite systems of nonlinear integral equations than the approaches based on Banach spaces, which have been employed in a series of publications over the past several years.
Dudek Szymon, Olszowy Leszek
doaj   +1 more source

Abstract Convergence Analysis for a New Nonlinear Ninth-Order Iterative Scheme

Mathematics
This study presents a comprehensive analysis of the semilocal convergence properties of a high-order iterative scheme designed to solve nonlinear equations in Banach spaces.
Ioannis K. Argyros, Sania Qureshi, Amanullah Soomro, Muath Awadalla, Ausif Padder, Michael I. Argyros   +5 more
doaj   +1 more source

Existence of positive solutions to some impulsive second-order integrodifferential equations

Electronic Journal of Differential Equations, 2010
In this article, we consider an initial-value problem for second-order nonlinear integrodifferential equations with impulses in a Banach space. By using the monotone iterative technique in a cone together with Arzela-Ascoli theorem and the dominated ...
Rahima Atmania
doaj  

A unified fixed point approach for enriched bivariate mappings with applications to volterra systems and fractional-order chaos. [PDF]

PLoS One
Ahmad K, Yar S, Khan AR, Najeeb N, Jhangeer A, Abdelfattah W.   +5 more
europepmc   +1 more source

Compact solutions of nonlinear differential equations in Banach spaces.

Michigan Mathematical Journal, 1966
Taam, C. T., Welch, J. N.
openaire   +3 more sources

Modified Z-algorithms for reckoning fixed points with application to nonlinear integral equations. [PDF]

PLoS One
Rehman HU, Hammad HA, Abdalla MEM.
europepmc   +1 more source

Relational nonlinear almost contractions of Lakshmikantham-Ćirić type and applications to boundary value problems. [PDF]

PLoS One
Filali D, Alharbi AF, Alruwaytie MZ, Alshammari AA, Khan FA, Alatawi A.   +5 more
europepmc   +1 more source

Analysis of delay differential equations with dual caputo-type fractional derivatives using laplace transform methods. [PDF]

Sci Rep
Boumaaza M, Boutiara A, Djidel O, Guefaifia R, Boulaaras S.   +4 more
europepmc   +1 more source

Stability analysis of discrete delta fractional models under summation multipoint constraints for robust engineering systems. [PDF]

Sci Rep
Mohammed PO, Al-Sarairah E, Baleanu D, Yousif MA, Arab M.   +4 more
europepmc   +1 more source