Some relatively new techniques for nonlinear problems

ST Mohyud-Din, MA Noor… - Mathematical Problems in …, 2009 - Wiley Online Library
This paper outlines a detailed study of some relatively new techniques which are originated
by He for solving diversified nonlinear problems of physical nature. In particular, we will …

New trends in general variational inequalities

MA Noor, KI Noor, MT Rassias - Acta Applicandae Mathematicae, 2020 - Springer
It is well known that general variational inequalities provide us with a unified, natural, novel
and simple framework to study a wide class of unrelated problems, which arise in pure and …

A new iterative scheme for numerical reckoning fixed points of Suzuki's generalized nonexpansive map**s

BS Thakur, D Thakur, M Postolache - Applied Mathematics and …, 2016 - Elsevier
In this paper, we propose a new iterative algorithm to approximate fixed point of Suzuki's
generalized nonexpansive map**s. We establish some weak and strong convergence …

Julia sets and Mandelbrot sets in Noor orbit

M Rani, R Chugh - Applied Mathematics and Computation, 2014 - Elsevier
In recent literature, researchers have generated Julia sets and Mandelbrot sets in Mann and
Ishikawa orbits that are examples of two-step and three-step feedback processes …

Some developments in general variational inequalities

MA Noor - Applied Mathematics and Computation, 2004 - Elsevier
General variational inequalities provide us with a unified, natural, novel and simple
framework to study a wide class of equilibrium problems arising in pure and applied …

[HTML][HTML] On the rate of convergence of Mann, Ishikawa, Noor and SP-iterations for continuous functions on an arbitrary interval

W Phuengrattana, S Suantai - Journal of computational and Applied …, 2011 - Elsevier
In this paper, we propose a new iteration, called the SP-iteration, for approximating a fixed
point of continuous functions on an arbitrary interval. Then, a necessary and sufficient …

Numerical reckoning fixed points for Suzuki's generalized nonexpansive map**s via new iteration process

K Ullah, M Arshad - Filomat, 2018 - doiserbia.nb.rs
In this paper we propose a new three-step iteration process, called M iteration process, for
approximation of fixed points. Some weak and strong convergence theorems are proved for …

Modified inertial Mann algorithm and inertial CQ-algorithm for nonexpansive map**s

QL Dong, HB Yuan, YJ Cho, TM Rassias - Optimization Letters, 2018 - Springer
In this article, we first introduce a modified inertial Mann algorithm and an inertial CQ-
algorithm by combining the accelerated Mann algorithm and the CQ-algorithm with the …

Approximating Fixed Points of Generalized α-Nonexpansive Map**s in Banach Spaces

R Pant, R Shukla - Numerical Functional Analysis and Optimization, 2017 - Taylor & Francis
We introduce a new type of nonexpansive map**s and obtain a number of existence and
convergence theorems. This new class of nonlinear map** properly contains …

A new iteration scheme for approximating fixed points of nonexpansive map**s

BS Thakur, D Thakur, M Postolache - Filomat, 2016 - JSTOR
In this paper, we introduce a new three-step iteration scheme and establish convergence
results for approximation of fixed points of nonexpansive map**s in the framework of …