Two derivative‐free algorithms for constrained nonlinear monotone equations

We propose two positive parameters based on the choice of Birgin and Martínez search direction. Using classical choices Barzilai-Borwein parameters, were derived by minimizing distance between relative matrix corresponding to direction scaled memory-less Broyden–Fletcher–Goldfarb-Shanno (BFGS) in Frobenius norm. Moreover, resulting is descent independent any line condition. established global convergence proposed algorithm under some appropriate assumptions. In addition, numerical experiments benchmark test problems are reported order show efficiency algorithm.