Convergence theorems of common elements for equilibrium problems and fixed point problems in Banach spaces

By Xiaolong Qin, Yeol Je Cho, Shin Min Kang. 2009

399 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/b221fd226a76dc3e6db1307951274128fcf56537

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Jong Kyu Kim
2. Kriengsak Wattanawitoon
3. Narin Petrot
4. Sun Young Cho
5. Poom Kumam

In Geometry and Topology

1. Jong Kyu Kim
2. Sun Young Cho
3. Poom Kumam
4. Kriengsak Wattanawitoon
5. Narin Petrot
6. Wutiphol Sintunavarat

In Numerical Analysis

1. Jong Kyu Kim
2. Narin Petrot
3. Kriengsak Wattanawitoon
4. Sun Young Cho
5. Poom Kumam

Citations in the corpus

• Generalized mixed equilibrium and fixed point problems in a Banach space (2016, background): “Recently, the above nonlinear problems have been extensively studied based on iterative techniques; see [3], [6]-[10], [14]–[17], [19], [22]-[26] and the references therein.”
• A hybrid projection method for generalized mixed equilibrium problems and fixed point problems in Banach spaces (2010, background): “[19] introduced a hybrid projection algorithm to find a common element of the set of solutions of an equilibrium problem and the set of common fixed points of two quasi-φ-nonexpansive mappings in the framework of Banach spaces:  x0 = x chosen arbitrarily, C1 = C, x1 = ΠC1x0, yn = ”
• Strong convergence theorem for a common point of solution of variational inequality and fixed point problem (2012, neutral): “Recently, many authors have considered the problem of finding a common element of the fixed points set of relatively nonexpansive mapping and the solution set of variational inequality problem for γ − inverse monotone mapping (see, e.g., [8, 13, 15, 17, 20, 21]).”
• Strong convergence theorems by hybrid projection methods for equilibrium problems and fixed point problems of the asymptotically quasi-ϕ-nonexpansive mappings (2011, methodology): “Very recently, Qin et al. [ 25 ] further improved Theorem TZ by considering shrinking projection methods which were introduced in [34] for quasi-j-nonexpansive mappings in a uniformly convex and uniformly smooth Banach space.”