A New Modified Gradient-Projection Algorithm for Solution of Constrained Convex Minimization Problem in Hilbert Spaces

Manuscript received January 01, 2014; revised March 28, 2014. This work was supported in part by King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia. Cyril Dennis Enyi is with King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia. (corresponding author: +966550782390; e-mail: cenyi@ kfupm.edu.sa). Mukiawa Edwin Soh is with King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia. (e-mail: [email protected]). is called monotone if there exists such that 〈 〉 ‖ ‖ ∈ is called monotone if there exists such that 〈 〉 ‖ ‖ ∈ also is if there exists such that for all ∈ ‖ ‖ ‖ ‖. Definition 1.4 A mapping is said to be firmly nonexpansive if is nonexpansive, or equivalently 〈 〉 ‖ ‖ ∈ Alternatively, is firmly nonexpansive if can be