Results 261 to 270 of about 48,008 (296)

NONLINEAR EQUATIONS OF HAMMERSTEIN TYPE WITH POTENTIAL AND MONOTONE OPERATORS IN BANACH SPACES

Mathematics of the USSR-Sbornik, 1972
We prove an existence and uniqueness theorem for solutions of equations of Hammerstein type (1)in Banach spaces. The main difference between this study and previous ones is to be found in the assumptions that is a closed operator from one Banach space into another, and that bounds on are imposed only on certain subsets of die space in question.
Vainberg, M. M., Lavrent'ev, I. M.
openaire   +1 more source

A New Trend of Fractional Inequalities for Differentiable Monotone Convexities Through Generalized Operators with Applications

European Journal of Pure and Applied Mathematics
This paper's main goal is to describe the new fractional operators for monotone differentiable function equipped with generalized Mittag-Leffler functions as its kernel, and develop the fractional inequalities for a new family of continuous ...
Rana Safdar Ali Rana, Naila Talib, Sina Etemad, J. Tariboon, M. Hafeez   +4 more
semanticscholar   +1 more source

Strongly Convergent Inertial Krasnosel'skii–Mann and Ishikawa-Type Schemes for Fixed Point and Monotone Inclusion Problems with Applications to Image Restoration

International Journal of Analysis and Applications
We propose an inertial Krasnosel'skii–Mann and Ishikawa-type iterative process with step-size control for finding fixed points of nonexpansive mappings in Hilbert spaces.
Kasamsuk Ungchittrakool, Natthaphon Artsawang   +1 more
semanticscholar   +1 more source

Dynamical Systems Method of gradient type for solving nonlinear equations with monotone operators

BIT Numerical Mathematics, 2010
A version of the Dynamical Systems Method (DSM) of gradient type is studied for solving the equation (1) \(F(u)= f\), where \(F\) is a nonlinear Fréchet differentiable, monotone operator in Hilbert space. If \(F(u)\) is not boundedly invertible then solving (1) for a given noisy \(f_\delta\) may be a ill-posed problem.
openaire   +2 more sources

Degree Theory for Operators of Monotone Type and Nonlinear Elliptic Equations With Inequality Constraints

, 2008
S. Aizicovici, Nikolaos S. Papageorgiou, V. Staicu   +2 more
semanticscholar   +1 more source

New surjectivity results for perturbed weakly coercive operators of monotone type in reflexive Banach spaces

, 2015
Teffera M. Asfaw
semanticscholar   +1 more source

Sub- and Supersolutions for Nonlinear Operators: Problems of Monotone Type

1983
In this paper we describe for a variety of non-linear problems F:D → Rn, D open in Rn, a discrete programming approach for the calculation of alternating approximations for a zero z* :
openaire   +1 more source

Newton-Type Inertial Algorithms for Solving Monotone Equations Governed by Sums of Potential and Nonpotential Operators

Applied Mathematics and Optimization, 2022
S. Adly, H. Attouch, Van Nam Vo
semanticscholar   +1 more source

New fixed point theorems for the sum of two mixed monotone operators of Meir–Keeler type and their applications to nonlinear elastic beam equations

Journal of Fixed Point Theory and Applications, 2020
Xinqiu Zhang, Lishan Liu, Yonghong Wu
semanticscholar   +1 more source

On Inclusions with Monotone-Type Mappings in Nonreflexive Banach Spaces

Journal of Optimization Theory and Applications, 2021
V. Le
semanticscholar   +1 more source