Strong convergence theorem for amenable semigroups of nonexpansive mappings and variational inequalities

Strong convergence theorem for amenable semigroups of nonexpansive mappings and variational inequalities

<p>Abstract</p> <p>In this paper, using strongly monotone and lipschitzian operator, we introduce a general iterative process for finding a common fixed point of a semigroup of nonexpansive mappings, with respect to strongly left regular sequence of means defined on an appropriate...

Full description

Bibliographic Details
Main Authors:	Piri Hossein, Badali Ali
Format:	Article
Language:	English
Published:	SpringerOpen 2011-01-01
Series:	Fixed Point Theory and Applications
Subjects:	projection common fixed point amenable semigroup iterative process strong convergence variational inequality
Online Access:	http://www.fixedpointtheoryandapplications.com/content/2011/1/55

Similar Items

Amenability and Weak Amenability of the Semigroup Algebra l^1 (〖 S〗_T )
by: S.M Mohammadi, et al.
Published: (2016-09-01)

Set inner amenability for semigroups
by: Moslem Amini Nia, et al.
Published: (2020-08-01)

On Rough $\mathcal{I}$-Convergence and $\mathcal{I}$-Cauchy Sequence for Functions Defined on Amenable Semigroups
by: Erdinç Dündar, et al.
Published: (2023-07-01)

Pseudo-amenability and pseudo-contractibility of restricted semigroup algebra
by: Olufemi Johnson Ogunsola, et al.
Published: (2018-12-01)

Amenability Modulo an Ideal of Second Duals of Semigroup Algebras
by: Hamidreza Rahimi, et al.
Published: (2016-09-01)

On the strong and $\Delta$-convergence theorems for total asymptotically nonexpansive mappings on CAT(0) space
by: M. Basarir, et al.
Published: (2013-12-01)

A strong convergence theorem on solving common solutions for generalized equilibrium problems and fixed-point problems in Banach space
by: Qu De-ning, et al.
Published: (2011-01-01)

Approximation results for split equilibrium problems and fixed point problems of nonexpansive semigroup in Hilbert spaces
by: Yasir Arfat, et al.
Published: (2020-09-01)

Various notions of module amenability on weighted semigroup algebras
by: Bodaghi Abasalt, et al.
Published: (2022-06-01)

Weak and Strong Convergence Theorems for the Inclusion Problem and the Fixed-Point Problem of Nonexpansive Mappings
by: Prasit Cholamjiak, et al.
Published: (2019-02-01)

Strong convergence theorem for split monotone variational inclusion with constraints of variational inequalities and fixed point problems
by: Jin-Lin Guan, et al.
Published: (2018-11-01)

Strong Convergence Theorems for Split Common Fixed Point Problem of Bregman Generalized Asymptotically Nonexpansive Mappings in Banach Spaces
by: Yusuf Ibrahim
Published: (2019-10-01)

A New Viscosity Implicit Approximation Method for Solving Variational Inequalities over the Common Fixed Points of Nonexpansive Mappings in Symmetric Hilbert Space
by: Linqi Sun, et al.
Published: (2023-05-01)

Module amenability for Banach modules
by: D Ebrahimi Bagha, et al.
Published: (2011-06-01)

Convergence theorems of modified Ishikawa iterations in Banach spaces
by: Shengquan Weng
Published: (2019-11-01)

A stability theorem for convergence of a lyapounov function along trajectories of nonexpansive semigroups
by: Renu Choudhary
Published: (2006-10-01)

Fixed Point Theorems for Semigroups of Lipschitzian Mappings
by: Saiful Marom, et al.
Published: (2023-09-01)

Convergence theorems for strictly asymptotically pseudocontractive mappings in Hilbert spaces
by: Gurucharan Singh Saluja
Published: (2010-01-01)

Generalized Strongly Increasing Semigroups
by: E. R. García Barroso, et al.
Published: (2021-06-01)

The iterative solutions of split common fixed point problem for asymptotically nonexpansive mappings in Banach spaces
by: Yuanheng Wang, et al.
Published: (2020-12-01)

$\varphi$-CONNES MODULE AMENABILITY OF DUAL BANACH ALGEBRAS
by: A. Ghaffari, et al.
Published: (2020-09-01)

Strong Convergence Theorems for Generalized Split Feasibility Problems in Banach Spaces
by: Xuejiao Zi, et al.
Published: (2020-06-01)

Set Invariant Means and Set Fixed Point Properties
by: Moslem Amini Nia
Published: (2022-03-01)

Strong convergence theorems for fixed point of multi-valued mappings in Hadamard spaces
by: Sani Salisu, et al.
Published: (2022-11-01)

Strong convergence theorem of a hybrid projection algorithm for a family of quasi-ϕ-asymptotically nonexpansive mappings
by: J. F. Tang, et al.
Published: (2010-01-01)

Strong convergence theorems for split variational inequality problems in Hilbert spaces
by: Wenlong Sun, et al.
Published: (2023-09-01)

Convergence theorem for finite family of lipschitzian demi-contractive semigroups
by: Ali Bashir, et al.
Published: (2011-01-01)

Weak and strong convergence theorems for the Krasnoselskij iterative algorithm in the class of enriched strictly pseudocontractive operators
by: Berinde Vasile
Published: (2018-12-01)

Weak and strong convergence theorems of a multistep iteration to a common fixed point of a family of nonself asymptotically nonexpansive mappings in banach spaces
by: Shrabani Banerjee, et al.
Published: (2012-10-01)

Convergence Theorem of Two Sequences for Solving the Modified Generalized System of Variational Inequalities and Numerical Analysis
by: Anchalee Sripattanet, et al.
Published: (2019-10-01)

Convergence theorems for three finite families of multivalued nonexpansive mappings
by: Rashwan Ahmed, et al.
Published: (2014-10-01)

Strong convergence of an implicit iteration process for a finite family of strictly asymptotically pseudocontractive mappings
by: Gurucharan Singh Saluja, et al.
Published: (2011-01-01)

Convergence semigroup actions: generalized quotients
by: H. Boustique, et al.
Published: (2009-10-01)

Strong convergence theorems for strongly monotone mappings in Banach spaces
by: Mathew O. Aibinu, et al.
Published: (2020-10-01)

Strong convergence of the Ishikawa iteration for Lipschitz α-hemicontractive mappings
by: Osilike Micah Okwuchukwu, et al.
Published: (2015-07-01)

Iterative approximation of common fixed points of generalized nonexpansive maps in convex metric spaces
by: Venkata Ravindranadh Babu Gutti , Satyanarayana Gedala
Published: (2020-06-01)

A strong convergence theorem for generalized-Φ-strongly monotone maps, with applications
by: C. E. Chidume, et al.
Published: (2019-06-01)

Convergence Theorems for Generalized Viscosity Explicit Methods for Nonexpansive Mappings in Banach Spaces and Some Applications
by: Pongsakorn Sunthrayuth, et al.
Published: (2019-02-01)

Strong convergence inertial projection and contraction method with self adaptive stepsize for pseudomonotone variational inequalities and fixed point problems
by: Lateef Olakunle Jolaoso, et al.
Published: (2020-12-01)

Strongly Convergence of Two Iterations For a Common Fixed Point with an Application
by: Zahra Mahmood Mohamed Hasan, et al.
Published: (2019-09-01)