Advanced search
Publication Cover
Applicable Analysis
An International Journal
Volume 40, 1991 - Issue 2-3
Submit an article Journal homepage
14
Views
32
CrossRef citations to date
0
Altmetric
Original Articles

Iterative construction of fixed points of strictly pseudocontractive mappings

Jürgen Schu Lehrstuhl C für Mathematik, RWTH Aachen, Templergraben 55, Aachen, D-5100, FRG
Pages 67-72 | Received 22 Jan 1990, Published online: 10 May 2007

Citations (32)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (1)

Ravi P. Agarwal, Nan Jing Huang†Yeol Je Cho. (2001) STABILITY OF ITERATIVE PROCESSES WITH ERRORS FOR NONLINEAR EQUATIONS OF φ-STRONGLY ACCRETIVE TYPE OPERATORS. Numerical Functional Analysis and Optimization 22:5-6, pages 471-485.
Read now

Articles from other publishers (31)

Eric OfoeduU.U., Chimezie OsigweB.B., Kingsley IbehO.O. & Lovelyn MaduO.O.. (2023) Strong and weak convergence theorems for solutions of equations of Hammerstein-type. Filomat 37:2, pages 477-490.
Crossref
Vasile Berinde. (2018) Weak and strong convergence theorems for the Krasnoselskij iterative algorithm in the class of enriched strictly pseudocontractive operators. Annals of West University of Timisoara - Mathematics and Computer Science 56:2, pages 13-27.
Crossref
Nawab Hussain, Ljubomir B Ćirić, Yeol Je Cho & Arif Rafiq. (2013) On Mann-type iteration method for a family of hemicontractive mappings in Hilbert spaces. Journal of Inequalities and Applications 2013:1.
Crossref
Nawab Hussain, Arif Rafiq, Ljubomir B Ciric & Saleh Al-Mezel. (2012) Almost stability of the Mann type iteration method with error term involving strictly hemicontractive mappings in smooth Banach spaces. Journal of Inequalities and Applications 2012:1.
Crossref
Suhong Li, Xin Xiao, Lihua Li & Jinfeng Lv. (2012) Random approximation with weak contraction random operators and a random fixed point theorem for nonexpansive random self-mappings. Journal of Inequalities and Applications 2012:1.
Crossref
Arif Rafiq & Shin Min Kang. (2012) Implicit Mann Type Iteration Method Involving Strictly Hemicontractive Mappings in Banach Spaces. Journal of Applied Mathematics 2012, pages 1-11.
Crossref
Suhong Li, Lingmin Zhang, Xin Xiao, Lihua Li, Hongwu Yin & Huijuan Zhao. (2010) Random Approximation with Weak Contraction Random Operator and Random Fixed Point Theorem for Nonexpansive Random Mapping. Random Approximation with Weak Contraction Random Operator and Random Fixed Point Theorem for Nonexpansive Random Mapping.
Feng Gu & Qiuping Fu. (2009) Strong Convergence Theorems for Common Fixed Points of Multistep Iterations with Errors in Banach Spaces. Journal of Inequalities and Applications 2009:1, pages 819036.
Crossref
Chao Wang & Jinghao Zhu. (2008) Convergence Theorems for Common Fixed Points of Nonself Asymptotically Quasi-Non-Expansive Mappings. Fixed Point Theory and Applications 2008:1.
Crossref
Arif Rafiq. (2007) On Mann iteration in Hilbert spaces. Nonlinear Analysis: Theory, Methods & Applications 66:10, pages 2230-2236.
Crossref
Somyot Plubtieng, Poom Kumam & Rabian Wangkeeree. (2007) Approximation of a Common Random Fixed Point for a Finite Family of Random Operators. International Journal of Mathematics and Mathematical Sciences 2007, pages 1-12.
Crossref
Ismat Beg & Mujahid Abbas. (2006) Convergence of iterative algorithms to common random fixed points of random operators. Journal of Applied Mathematics and Stochastic Analysis 2006, pages 1-16.
Crossref
Somyot Plubtieng & Rabian Wangkeeree. (2006) Strong convergence theorems for multi-step Noor iterations with errors in Banach spaces. Journal of Mathematical Analysis and Applications 321:1, pages 10-23.
Crossref
Ismat Beg & Mujahid Abbas. (2006) Iterative procedures for solutions of random operator equations in Banach spaces. Journal of Mathematical Analysis and Applications 315:1, pages 181-201.
Crossref
S. Plubtieng & R. Wangkeeree. (2006) Strong convergence theorems for three-step iterations with errors for non-lipschitzian nonself-mappings in Banach spaces. Computers & Mathematics with Applications 51:6-7, pages 1093-1102.
Crossref
Ljubomir B. Ćirić & Jeong Sheok Ume. (2005) Ishikawa iterative process with errors for nonlinear equations of generalized monotone type in Banach spaces. Mathematische Nachrichten 278:10, pages 1137-1146.
Crossref
Z. Liu, S.M. Kang & S.H. Shim. (2003) ALMOST STABILITY OF THE MANN ITERATION METHOD WITH ERRORS FOR STRICTLY HEMI-CONTRACTIVE OPERATORS IN SMOOTH BANACH SPACES. Journal of the Korean Mathematical Society 40:1, pages 29-40.
Crossref
Chika Moore. (2002) The solution by iteration of nonlinear equations of Hammerstein type. Nonlinear Analysis: Theory, Methods & Applications 49:5, pages 631-642.
Crossref
Liu Qihou. (2002) Iteration Sequences for Asymptotically Quasi-nonexpansive Mapping with an Error Member of Uniform Convex Banach Space. Journal of Mathematical Analysis and Applications 266:2, pages 468-471.
Crossref
C.E. Chidume & Chika Moore. (2000) Steepest Descent Method for Equilibrium Points of Nonlinear Systems with Accretive Operators. Journal of Mathematical Analysis and Applications 245:1, pages 142-160.
Crossref
C.E Chidume, Habtu Zegeye & Benselamonyuy Ntatin. (1999) A Generalized Steepest Descent Approximation for the Zeros of m-Accretive Operators. Journal of Mathematical Analysis and Applications 236:1, pages 48-73.
Crossref
C. Chidume & Chika Moore. (1999) Fixed point iteration for pseudocontractive maps. Proceedings of the American Mathematical Society 127:4, pages 1163-1170.
Crossref
M.O. Osilike. (1999) Iterative solutions of nonlinear φ-strongly accretive operator equations in arbitrary Banach spaces. Nonlinear Analysis: Theory, Methods & Applications 36:1, pages 1-9.
Crossref
Zhou Haiyun. (1999) Iterative solution of nonlinear equations with strongly accretive operators in Banach spaces. Applied Mathematics and Mechanics 20:3, pages 282-289.
Crossref
C.E. Chidume. (1998) Convergence Theorems for Strongly Pseudo-contractive and Strongly Accretive Maps. Journal of Mathematical Analysis and Applications 228:1, pages 254-264.
Crossref
C. Chidume. (1998) Global iteration schemes for strongly pseudo-contractive maps. Proceedings of the American Mathematical Society 126:9, pages 2641-2649.
Crossref
C. E. Chidume. (2006) Iterative Solutions of Nonlinear Equations of the Strongly Accretive Type. Mathematische Nachrichten 189:1, pages 49-60.
Crossref
C.E Chidume & Chika Moore. (1997) The Solution by Iteration of Nonlinear Equations in Uniformly Smooth Banach Spaces. Journal of Mathematical Analysis and Applications 215:1, pages 132-146.
Crossref
M.O. Osilike. (1997) Ishikawa and Mann Iteration Methods with Errors for Nonlinear Equations of the Accretive Type. Journal of Mathematical Analysis and Applications 213:1, pages 91-105.
Crossref
C.E. Chidume. (1996) Iterative solutions of nonlinear equations in smooth banach spaces. Nonlinear Analysis: Theory, Methods & Applications 26:11, pages 1823-1834.
Crossref
C.E. Chidume. (1996) Steepest descent approximations for accretive operator equations. Nonlinear Analysis: Theory, Methods & Applications 26:2, pages 299-311.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.