Results 71 to 80 of about 287 (164)

Approximating zeros of monotone operators by proximal point algorithms

Nonexpansive mapping, Fixed point, Monotone operator, Zero, Proximal point algorithm, 47H05, 47H09, 47J25,
Xiaolong Qin, Shin Kang, Yeol Cho
core   +1 more source

A Generalized Multistep Iterative Scheme for G−Asymptotically Nonexpansive Maps With Applications

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this study, a novel multistep iterative method is proposed and analyzed for the approximation of fixed points of G−asymptotically nonexpansive maps. This new scheme, which generalizes previously established iterative approaches, is developed within the framework of Banach spaces and incorporates the structure of directed graphs.
Süheyla Elmas, Smritijit Sen
wiley   +1 more source

A novel iterative process for numerical reckoning of fixed points via generalized nonlinear mappings with qualitative study

Demonstratio Mathematica
This manuscript is devoted to constructing a novel iterative scheme and reckoning of fixed points for generalized contraction mappings in hyperbolic spaces.
Ahmad Fayyaz, Ullah Kifayat, Ahmad Junaid, Hammad Hasanen A., George Reny   +4 more
doaj   +1 more source

Iterative method for fixed point problem, variational inequality and generalized mixed equilibrium problems with applications

Nonexpansive Mappings, Generalized mixed equilibrium problem, Variational Inequality, Hilbert spaces, 47H06, 47H09, 47J05, 47J25,
Yekini Shehu
core   +1 more source

Some Fixed Point Theorems for Multi-Valued Contractions in Quasi-Metric Spaces [PDF]

, 2012
In this paper, we study fixed point theorems in quasi-metric spaces and obtain some result in it. Also, the paper contains generalized fixed point theorems of L. B.
Seiedeh Fereshteh Hashemi
core  

Strong convergence of a hybrid method for monotone variational inequalities and fixed point problems [PDF]

, 2011
In this paper, we suggest a hybrid method for finding a common element of the set of solution of a monotone, Lipschitz-continuous variational inequality problem and the set of common fixed points of an infinite family of nonexpansive mappings.
Wong Mu-Ming, Jen-Chih Yao, Yeong-Cheng Liou, Yao Yonghong, Yonghong Yao, Liou Yeong-Cheng, Yao Jen-Chih, Mu-Ming Wong   +7 more
core   +1 more source

Innovative Aspects of the Solvability of Multiterm Hybrid Functional Equations via Nonlocal Hybrid Conditions

International Journal of Differential Equations, Volume 2025, Issue 1, 2025.
This paper explores the solvability of multiterm hybrid functional equations with multiple delays, addressing these equations under some nonlocal hybrid boundary conditions. By applying Schauder fixed‐point theorem, we establish the existence of continuous solutions and provide sufficient requirements for the continuous dependence of the unique ...
A. M. A. El-Sayed, Sh. M. Al-Issa, H. H. G. Hashem, A. H. Osman, Amar Nath Chatterjee   +4 more
wiley   +1 more source

A viscosity approximation method for equilibrium problems, fixed point problems of nonexpansive mappings and a general system of variational inequalities

Nonexpansive mapping, Equilibrium problem, Fixed point, General system of variational inequality, 49J30, 49J40, 47H09, 47H10,
T. Thammathiwat, S. Plubtieng
core   +1 more source

Fixed-point iteration processes for non-Lipschitzian mappings of asymptotically quasi-nonexpansive type [PDF]

, 2003
We study convergences of Mann and Ishikawa iteration processes for mappings of asymptotically quasi-nonexpansive type in Banach spaces. 2000 Mathematics Subject Classification: 47H09, 47H10. 1. Introduction and preliminaries.
Daya Ram Sahu, Jong Soo Jung, Daya Ram Sahu   +2 more
core   +1 more source

Strong convergence theorems for variational inequalities and relatively weak nonexpansive mappings

Variational inequalities, Relatively weak nonexpansive mappings, Generalized projection, Cauchy sequences, Continuity, 47H09, 47H05, 47J25, 47J05,
Ying Liu
core   +1 more source