An algorithm for finding common solutions of various problems in nonlinear operator theory

Eric U. Ofoedu, Jonathan N. Odumegwu, Habtu Zegeye, Naseer Shahzad

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

In this paper, it is our aim to prove strong convergence of a new iterative algorithm to a common element of the set of solutions of a finite family of classical equilibrium problems; a common set of zeros of a finite family of inverse strongly monotone operators; the set of common fixed points of a finite family of quasi-nonexpansive mappings; and the set of common fixed points of a finite family of continuous pseudocontractive mappings in Hilbert spaces on assumption that the intersection of the aforementioned sets is not empty. Moreover, the common element is shown to be the metric projection of the initial guess on the intersection of these sets.

Original languageEnglish
Article number9
JournalFixed Point Theory and Applications
Volume2014
DOIs
Publication statusPublished - Jan 1 2014

Fingerprint

Operator Theory
Nonlinear Operator
Hilbert spaces
Common Fixed Point
Intersection of sets
Pseudocontractive Mapping
Metric Projection
Monotone Operator
Equilibrium Problem
Nonexpansive Mapping
Guess
Strong Convergence
Iterative Algorithm
Hilbert space
Intersection
Family
Zero

All Science Journal Classification (ASJC) codes

  • Geometry and Topology
  • Applied Mathematics

Cite this

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An algorithm for finding common solutions of various problems in nonlinear operator theory. / Ofoedu, Eric U.; Odumegwu, Jonathan N.; Zegeye, Habtu; Shahzad, Naseer.

In: Fixed Point Theory and Applications, Vol. 2014, 9, 01.01.2014.

Research output: Contribution to journalArticle

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