A New Iterative Method for Equilibrium Problems and Fixed Point Problems

Joint Authors

Eslamian, Mohammad
Latif, Abdul

Source

Abstract and Applied Analysis

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-12-31

Country of Publication

Egypt

No. of Pages

9

Main Subjects

Mathematics

Abstract EN

Introducing a new iterative method, we study the existence of a common element of the set of solutions of equilibrium problems for a family of monotone, Lipschitz-type continuous mappings and the sets of fixed points of two nonexpansive semigroups in a real Hilbert space.

We establish strong convergence theorems of the new iterative method for the solution of the variational inequality problem which is the optimality condition for the minimization problem.

Our results improve and generalize the corresponding recent results of Anh (2012), Cianciaruso et al.

(2010), and many others.

American Psychological Association (APA)

Latif, Abdul& Eslamian, Mohammad. 2013. A New Iterative Method for Equilibrium Problems and Fixed Point Problems. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-452108

Modern Language Association (MLA)

Latif, Abdul& Eslamian, Mohammad. A New Iterative Method for Equilibrium Problems and Fixed Point Problems. Abstract and Applied Analysis No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-452108

American Medical Association (AMA)

Latif, Abdul& Eslamian, Mohammad. A New Iterative Method for Equilibrium Problems and Fixed Point Problems. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-452108

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-452108