A Novel Approach for Solving Nonsmooth Optimization Problems with Application to Nonsmooth Equations

<table>The graph of GD of  <svg height="16.6625" id="M359" style="vertical-align:-3.56265pt" version="1.1" viewbox="0 0 37.262501 16.6625" width="37.262501" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg>  with respect to <svg height="12.175" id="M360" style="vertical-align:-3.56265pt" version="1.1" viewbox="0 0 9.9624996 12.175" width="9.9624996" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,7.675)"><path d="M556 393q0 -39 -36 -106q-42 -78 -185 -279q-47 -66 -81 -108t-117 -135l-112 -26l-8 22q150 90 251 219q-6 136 -39 340q-8 53 -21 53q-6 0 -27 -19.5t-38 -42.5l-16 26q80 111 127 111q23 0 35 -28t20 -90q18 -137 27 -263h2q142 200 142 279q0 24 -14 48q-4 7 5 26
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</svg> for Example <a href="https://static.hindawi.com/articles/jmath/volume-2013/750834/figures/#ex5.3">3</a>.</table>

Journal of Mathematics

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Figure 7

Figure 7: A Novel Approach for Solving Nonsmooth Optimization Problems with Application to Nonsmooth Equations 