Convergence and Stability of a Novel <svg xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg" style="vertical-align:-0.06579971pt" id="M1" height="12.0336pt" version="1.1" viewBox="-0.0657574 -11.9678 18.2171 12.0336" width="18.2171pt"><g transform="matrix(.017,0,0,-0.017,0,0)"><path d="M362 122C421 220 437 334 437 447C437 473 436 500 431 526C440 544 449 561 464 575C478 589 496 601 517 601C543 601 571 592 586 569C601 547 606 521 610 494C617 452 618 410 618 367C618 294 618 213 602 149C595 119 584 88 559 69C542 80 515 99 506 101C494 104 481 107 469 101C448 90 410 40 384 5L394 -16C405 -6 415 4 428 11C435 16 444 21 453 21C472 21 501 -4 522 -22L645 128C686 225 709 330 709 436C709 467 703 500 698 532C711 558 729 582 751 601C770 618 795 628 820 628C832 628 843 625 852 617C862 610 872 580 879 559C885 541 895 511 900 506C907 499 915 491 922 490C891 463 864 433 842 399C833 357 826 314 826 271V80L884 -27L1028 80V101C1007 90 986 81 964 74C958 73 952 75 948 80C936 98 923 117 916 138C906 170 906 230 906 277C906 315 907 354 914 392C918 420 925 448 938 474C970 506 1008 533 1049 554V569C1035 564 1020 560 1004 560C994 560 983 562 975 569C964 580 959 597 954 612C947 633 938 658 927 671C915 684 897 692 879 692C835 692 797 669 762 644C734 625 708 603 686 577C678 600 667 621 650 639C633 655 609 660 586 660C543 660 504 641 469 617C450 605 435 587 421 569C397 640 330 686 256 686C191 686 131 658 86 612C55 582 27 545 27 500C27 486 34 474 41 461C52 441 66 422 80 404C96 385 118 358 118 341S109 310 99 298C85 282 67 270 48 261L70 245C103 261 134 281 159 309C177 328 192 351 192 378C192 392 186 405 180 418C170 436 158 453 144 468C131 484 119 500 109 517C102 529 96 540 96 554C96 573 110 588 123 601C138 617 160 623 181 623C219 623 256 612 283 585C307 561 323 529 334 495C347 454 352 410 352 367C352 310 349 254 336 198C329 163 319 127 293 101C275 83 257 65 235 53C220 68 204 82 186 92C173 100 159 106 144 106C122 106 104 92 88 78C64 55 44 28 27 0L38 -16C55 6 78 26 107 26C121 26 133 20 144 12C162 1 178 -12 192 -27L362 122Z"/></g></svg>‐Iterative Algorithm with an Application

<table class="table-group" id="tab7"><tr><td><table class="table"><tr><td class="thead-hr" colspan="2"><hr/></td></tr><tr><td class="align_left">Iteration Count</td><td class="align_center">Values obtained using algorithm (5.1)</td></tr><tr><td class="align_left" colspan="2"><hr/></td></tr><tr><td class="align_left">1</td><td class="align_center">0.9484</td></tr><tr><td class="align_left">2</td><td class="align_center">−0.0223</td></tr><tr><td class="align_left">3</td><td class="align_center">−0.0224</td></tr><tr class="table-tr"><td colspan="2"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>Approximated fixed point of operator <svg height="10.7866pt" id="M350" style="vertical-align:-2.150701pt" version="1.1" viewbox="-0.0498162 -8.6359 9.52083 10.7866" width="9.52083pt" 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="M699 368C699 549 574 666 407 666C186 666 23 488 23 277C23 113 129 -3 288 -13L307 -26C431 -111 501 -139 533 -147C559 -154 613 -163 658 -164L666 -141C597 -111 507 -66 430 -11L416 -1C580 42 699 190 699 368ZM601 371C601 227 518 54 381 22L354 40L278 24C175 47 120 145 120 269C120 451 235 631 398 631C540 631 601 521 601 371Z"></path></g></svg> by applying <svg height="9.11633pt" id="M351" style="vertical-align:-0.04981995pt" version="1.1" viewbox="-0.0498162 -9.06651 13.8008 9.11633" width="13.8008pt" 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="M362 122C421 220 437 334 437 447C437 473 436 500 431 526C440 544 449 561 464 575C478 589 496 601 517 601C543 601 571 592 586 569C601 547 606 521 610 494C617 452 618 410 618 367C618 294 618 213 602 149C595 119 584 88 559 69C542 80 515 99 506 101C494 104 481 107 469 101C448 90 410 40 384 5L394 -16C405 -6 415 4 428 11C435 16 444 21 453 21C472 21 501 -4 522 -22L645 128C686 225 709 330 709 436C709 467 703 500 698 532C711 558 729 582 751 601C770 618 795 628 820 628C832 628 843 625 852 617C862 610 872 580 879 559C885 541 895 511 900 506C907 499 915 491 922 490C891 463 864 433 842 399C833 357 826 314 826 271V80L884 -27L1028 80V101C1007 90 986 81 964 74C958 73 952 75 948 80C936 98 923 117 916 138C906 170 906 230 906 277C906 315 907 354 914 392C918 420 925 448 938 474C970 506 1008 533 1049 554V569C1035 564 1020 560 1004 560C994 560 983 562 975 569C964 580 959 597 954 612C947 633 938 658 927 671C915 684 897 692 879 692C835 692 797 669 762 644C734 625 708 603 686 577C678 600 667 621 650 639C633 655 609 660 586 660C543 660 504 641 469 617C450 605 435 587 421 569C397 640 330 686 256 686C191 686 131 658 86 612C55 582 27 545 27 500C27 486 34 474 41 461C52 441 66 422 80 404C96 385 118 358 118 341S109 310 99 298C85 282 67 270 48 261L70 245C103 261 134 281 159 309C177 328 192 351 192 378C192 392 186 405 180 418C170 436 158 453 144 468C131 484 119 500 109 517C102 529 96 540 96 554C96 573 110 588 123 601C138 617 160 623 181 623C219 623 256 612 283 585C307 561 323 529 334 495C347 454 352 410 352 367C352 310 349 254 336 198C329 163 319 127 293 101C275 83 257 65 235 53C220 68 204 82 186 92C173 100 159 106 144 106C122 106 104 92 88 78C64 55 44 28 27 0L38 -16C55 6 78 26 107 26C121 26 133 20 144 12C162 1 178 -12 192 -27L362 122Z"></path></g></svg> iterative procedure.</div>

Mathematical Problems in Engineering

tab7

Table 7

Table 7: Convergence and Stability of a Novel <svg xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg" style="vertical-align:-0.06579971pt" id="M1" height="12.0336pt" version="1.1" viewBox="-0.0657574 -11.9678 18.2171 12.0336" width="18.2171pt"><g transform="matrix(.017,0,0,-0.017,0,0)"><path d="M362 122C421 220 437 334 437 447C437 473 436 500 431 526C440 544 449 561 464 575C478 589 496 601 517 601C543 601 571 592 586 569C601 547 606 521 610 494C617 452 618 410 618 367C618 294 618 213 602 149C595 119 584 88 559 69C542 80 515 99 506 101C494 104 481 107 469 101C448 90 410 40 384 5L394 -16C405 -6 415 4 428 11C435 16 444 21 453 21C472 21 501 -4 522 -22L645 128C686 225 709 330 709 436C709 467 703 500 698 532C711 558 729 582 751 601C770 618 795 628 820 628C832 628 843 625 852 617C862 610 872 580 879 559C885 541 895 511 900 506C907 499 915 491 922 490C891 463 864 433 842 399C833 357 826 314 826 271V80L884 -27L1028 80V101C1007 90 986 81 964 74C958 73 952 75 948 80C936 98 923 117 916 138C906 170 906 230 906 277C906 315 907 354 914 392C918 420 925 448 938 474C970 506 1008 533 1049 554V569C1035 564 1020 560 1004 560C994 560 983 562 975 569C964 580 959 597 954 612C947 633 938 658 927 671C915 684 897 692 879 692C835 692 797 669 762 644C734 625 708 603 686 577C678 600 667 621 650 639C633 655 609 660 586 660C543 660 504 641 469 617C450 605 435 587 421 569C397 640 330 686 256 686C191 686 131 658 86 612C55 582 27 545 27 500C27 486 34 474 41 461C52 441 66 422 80 404C96 385 118 358 118 341S109 310 99 298C85 282 67 270 48 261L70 245C103 261 134 281 159 309C177 328 192 351 192 378C192 392 186 405 180 418C170 436 158 453 144 468C131 484 119 500 109 517C102 529 96 540 96 554C96 573 110 588 123 601C138 617 160 623 181 623C219 623 256 612 283 585C307 561 323 529 334 495C347 454 352 410 352 367C352 310 349 254 336 198C329 163 319 127 293 101C275 83 257 65 235 53C220 68 204 82 186 92C173 100 159 106 144 106C122 106 104 92 88 78C64 55 44 28 27 0L38 -16C55 6 78 26 107 26C121 26 133 20 144 12C162 1 178 -12 192 -27L362 122Z"/></g></svg>‐Iterative Algorithm with an Application 

Mathematical Problems in Engineering

Convergence and Stability of a Novel ‐Iterative Algorithm with an Application

Table 7