Convergence Analysis of New Construction Explicit Methods for Solving Equilibrium Programming and Fixed Point Problems

<table class="table-group" id="tab1"><tr><td><table class="table"><tr><td class="thead-hr" colspan="5"><hr/></td></tr><tr class="thead"><td class="align_left" rowspan="2"><span style="width: 12.2751ptpx;"><svg height="9.25202pt" id="M515" style="vertical-align:-3.29111pt" version="1.1" viewbox="-0.0498162 -5.96091 12.2751 9.25202" width="12.2751pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M536 404C536 423 520 448 491 448C445 448 398 404 308 283L286 338C255 416 242 448 217 448C182 448 138 402 92 341L111 321C149 368 169 378 178 378C188 378 198 363 214 320L254 212C185 117 138 65 107 65C98 65 85 69 82 75C79 82 73 86 65 86C44 86 23 60 23 39C23 7 44 -12 71 -12C119 -12 168 33 265 177L306 61C321 17 347 -12 373 -12C413 -12 465 33 507 96L491 119C459 84 432 60 413 60C395 60 378 92 358 148L321 250C341 279 369 310 389 332C417 363 439 382 456 382C466 382 475 376 481 368C486 361 492 358 496 358C513 358 536 381 536 404Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,7.202,3.132)"><path d="M245 635C92 635 37 457 37 312C37 149 91 -12 244 -12C395 -12 449 166 449 312C449 469 395 635 245 635ZM243 598C332 598 358 454 358 312C358 173 334 26 245 26C158 26 128 174 128 313S152 598 243 598Z"></path></g></svg></span></td><td class="align_center" colspan="2">Number of iterations</td><td class="align_center" colspan="2">Execution time in seconds</td></tr><tr class="thead"><td class="align_center">Algorithm <a href="../alg1/">1</a></td><td class="align_center">Algorithm <a href="../alg2/">2</a></td><td class="align_center">Algorithm <a href="../alg1/">1</a></td><td class="align_center">Algorithm <a href="../alg2/">2</a></td></tr><tr><td class="thead-hr" colspan="5"><hr/></td></tr><tr><td class="align_left"><span style="width: 67.4528ptpx;"><svg height="14.4428pt" id="M516" style="vertical-align:-2.4508pt" version="1.1" viewbox="-0.0498162 -11.992 67.4528 14.4428" width="67.4528pt" 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489C636 548 645 624 655 676Z"></path></g></svg></span></td><td class="align_center">22</td><td class="align_center">14</td><td class="align_center">0.180260200000000</td><td class="align_center">0.127609500000000</td></tr><tr><td class="align_left"><span style="width: 67.4528ptpx;"><svg height="14.4428pt" id="M517" style="vertical-align:-2.4508pt" version="1.1" viewbox="-0.0498162 -11.992 67.4528 14.4428" width="67.4528pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,.183)"><path d="M300 -147C201 -63 143 98 143 270S200 602 300 686L282 710C136 610 70 450 70 271V270C70 89 136 -72 282 -170L300 -147Z"></path></g><g transform="matrix(.013,0,0,-0.013,4.515,0)"><path d="M384 0V27C293 34 287 42 287 114V635C232 613 172 594 109 583V559L157 557C201 555 205 550 205 499V114C205 42 199 34 109 27V0H384Z"></path></g><g transform="matrix(.013,0,0,-0.013,10.755,0)"><path d="M95 130C70 130 46 113 46 88C46 72 54 64 59 64C93 55 121 33 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<div>All methods’ numerical values for Figures <a href="../fig1/">1</a>–<a href="../fig8/">8</a>.</div>

Journal of Function Spaces

tab1

Table 1

Table 1: Convergence Analysis of New Construction Explicit Methods for Solving Equilibrium Programming and Fixed Point Problems 