Linear convergence analysis for general proximal point algorithms involving (H, η) − monotonicity frameworks
-
Ram U. Verma
verma99@msn.com
Downloads
DOI:
https://doi.org/10.4067/S0719-06462011000300010Abstract
General framework for the generalized proximal point algorithm, based on the notion of (H, η) − monotonicity, is developed. The linear convergence analysis for the generalized proximal point algorithm to the context of solving a class of nonlinear variational inclusions is examined, The obtained results generalize and unify a wide range of problems to the context of achieving the linear convergence for proximal point algorithms.
Keywords
Most read articles by the same author(s)
- Ram U. Verma, The ϵ−Optimality conditions for multiple objective fractional programming problems for generalized (Ï, η)−invexity of higher order , CUBO, A Mathematical Journal: Vol. 14 No. 2 (2012): CUBO, A Mathematical Journal
- Ram U. Verma, Hybrid (Φ,Ψ,Ï,ζ,θ)−invexity frameworks and efficiency conditions for multiobjective fractional programming problems , CUBO, A Mathematical Journal: Vol. 17 No. 1 (2015): CUBO, A Mathematical Journal
Similar Articles
- Hiroko Manaka, Wataru Takahashi, Weak convergence theorems for maximal monotone operators with nonspreading mappings in a Hilbert space , CUBO, A Mathematical Journal: Vol. 13 No. 1 (2011): CUBO, A Mathematical Journal
- Abdellatif Moudafi, Computing the resolvent of composite operators , CUBO, A Mathematical Journal: Vol. 16 No. 3 (2014): CUBO, A Mathematical Journal
- Rinko Shinzato, Wataru Takahashi, A Strong Convergence Theorem by a New Hybrid Method for an Equilibrium Problem with Nonlinear Mappings in a Hilbert Space , CUBO, A Mathematical Journal: Vol. 10 No. 4 (2008): CUBO, A Mathematical Journal
- Ioannis K. Argyros, Saïd Hilout, On the solution of generalized equations and variational inequalities , CUBO, A Mathematical Journal: Vol. 13 No. 1 (2011): CUBO, A Mathematical Journal
- Muhammad Aslam Noor, Khalida Inayat Noor, Proximal-Resolvent Methods for Mixed Variational Inequalities , CUBO, A Mathematical Journal: Vol. 10 No. 3 (2008): CUBO, A Mathematical Journal
- Adrian Petrus¸el, Ioan A. Rus, Marcel Adrian S¸erban, Fixed Points for Operators on Generalized Metric Spaces , CUBO, A Mathematical Journal: Vol. 10 No. 4 (2008): CUBO, A Mathematical Journal
- T.M.M. Sow, A new iterative method based on the modified proximal-point algorithm for finding a common null point of an infinite family of accretive operators in Banach spaces , CUBO, A Mathematical Journal: Vol. 22 No. 2 (2020)
- George A. Anastassiou, Right general fractional monotone approximation , CUBO, A Mathematical Journal: Vol. 17 No. 3 (2015): CUBO, A Mathematical Journal
- N. Seshagiri Rao, K. Kalyani, Fixed point results of \((\phi,\psi)\)-weak contractions in ordered \(b\)-metric spaces , CUBO, A Mathematical Journal: Vol. 24 No. 2 (2022)
- Robert M. Yamaleev, Evolutionary method of construction of solutions of polynomials and related generalized dynamics , CUBO, A Mathematical Journal: Vol. 13 No. 1 (2011): CUBO, A Mathematical Journal
1 2 3 4 5 6 7 8 9 10 11 12 > >>
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
Published
2011-10-01
How to Cite
[1]
R. U. Verma, “Linear convergence analysis for general proximal point algorithms involving (H, η) − monotonicity frameworks”, CUBO, vol. 13, no. 3, pp. 185–196, Oct. 2011.
Issue
Section
Articles
