scholarly journals Regularization Inertial Proximal Point Algorithm for Monotone Hemicontinuous Mapping and Inverse Strongly Monotone Mappings in Hilbert Spaces

2010 ◽  
Vol 2010 ◽  
pp. 1-10 ◽  
Author(s):  
Jong Kyu Kim ◽  
Nguyen Buong
Keyword(s):  
Hilbert Spaces ◽  
Proximal Point Algorithm ◽  
Monotone Mappings ◽  
Proximal Point ◽  
Strongly Monotone ◽  
Inverse Strongly Monotone ◽  
Strongly Monotone Mappings ◽  
Hemicontinuous Mapping

scholarly journals A New Iterative Method for the Set of Solutions of Equilibrium Problems and of Operator Equations with Inverse-Strongly Monotone Mappings

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Jong Kyu Kim ◽  
Nguyen Buong ◽  
Jae Yull Sim
Keyword(s):  
Hilbert Spaces ◽  
Equilibrium Problems ◽  
Finite Family ◽  
Common Element ◽  
Monotone Mappings ◽  
Operator Equations ◽  
Strongly Monotone ◽  
Inverse Strongly Monotone ◽  
Strongly Monotone Mappings ◽  
New Iterative Method

The purpose of the paper is to present a new iteration method for finding a common element for the set of solutions of equilibrium problems and of operator equations with a finite family ofλi-inverse-strongly monotone mappings in Hilbert spaces.

scholarly journals Δ-convergence theorems for inverse-strongly monotone mappings in CAT(0) spaces

2018 ◽  
Vol 19 (1) ◽  
pp. 45-56 ◽  
Author(s):  
Sattar Alizadeh ◽  
◽  
Hossein Dehghan ◽  
Fridoun Moradlou ◽  
◽  
...  
Keyword(s):  
Monotone Mappings ◽  
Convergence Theorems ◽  
Strongly Monotone ◽  
Inverse Strongly Monotone ◽  
Strongly Monotone Mappings

scholarly journals S-iteration process of Halpern-type for common solutions of nonexpansive mappings and monotone variational inequalities

Filomat ◽  
2019 ◽  
Vol 33 (6) ◽  
pp. 1727-1746 ◽  
Author(s):  
D.R. Sahu ◽  
Ajeet Kumar ◽  
Ching-Feng Wen
Keyword(s):  
Variational Inequality ◽  
Hilbert Spaces ◽  
Nonexpansive Mappings ◽  
Iteration Process ◽  
Common Element ◽  
Monotone Mappings ◽  
Monotone Variational Inequalities ◽  
Numerical Examples ◽  
Inverse Strongly Monotone ◽  
Strongly Monotone Mappings

This paper is devoted to the strong convergence of the S-iteration process of Halpern-type for approximating a common element of the set of fixed points of a nonexpansive mapping and the set of common solutions of variational inequality problems formed by two inverse strongly monotone mappings in the framework of Hilbert spaces. We also give some numerical examples in support of our main result.

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