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Some random coupled best proximity points for a generalized ω-cyclic contraction in polish spaces

Kongban C., Kumam P.

Fasciculi Mathematici

2017

Nr 59

91--105

In this paper, we will introduce the concepts of a random coupled best proximity point and then we prove the existence of random coupled best proximity points in separable metric spaces. Our results extend the previous work of Akbar et al. [1].

Modified Mann iterative algorithms by hybrid projection methods for nonexpansive semigroups and mixed equilibrium problems

Katchang P., Kumam P.

Journal of Applied Analysis

2012

Vol. 18, nr 2

259-273

In this paper, we propose a modified Mann iterative algorithm by two hybrid projection methods for finding a common element of the set of fixed points of nonexpansive semigroups and the set of solutions of a mixed equilibrium problem in a real Hilbert space. Then, we obtain interesting and new strong convergence theorems for the sequences generated by these processes by using the hybrid projection methods in the mathematical programming. The results presented in this paper extend and improve the corresponding one by Nakajo and Takahashi [J. Math. Anal. Appl. 279 (2003), 372-379].

Some random fixed point theorems for random asymtotically regular operators

Kumam P., Plubtieng S.

Demonstratio Mathematica

2009

Vol. 42, nr 1

131-141