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The e -Optimality Conditions for Multiple Objective Fractional Programming Problems for Generalized <img width=80 height=33 id="_x0000_i1036" src="http:/fbpe/img/cubo/v14n2/art01-01.jpg" alt="Descripción: http:/fbpe/img/cubo/v14n2/art01-01.jpg">- Invexity of Higher Order</a> </p><span class="r_subtitle"><img src="/img/openaccess.ico" alt="open access: yes" title="open access: yes" width="16" height="16"><i>Cubo</i>, 2012 </span><br><span class="r_content">Motivado por investigaciones recientes en la literatura, se introduce un marco general para una clase de funciones -invex n-set de orden superior y se exploran algunos resultados sobre condiciones de epsilon-optimalidad para objetivos multiples ...</span><br><span class="r_sub"><i>Ram U Verma</i></span><br><small><a href="https://doaj.org/article/8ac2078423144fe98723c68f17488db5" target="_blank" rel="nofollow" title="doaj.org/article/8ac2078423144fe98723c68f17488db5">doaj</a> </small> <br></div><div class="r"><p class="r_title"><a href="https://doi.org/10.1186/s40064-016-3163-8" target="_blank" rel="nofollow">Role of exponential type random invexities for asymptotically sufficient efficiency conditions in semi-infinite multi-objective fractional programming.</a> <b><a href="https://europepmc.org/backend/ptpmcrender.fcgi?accid=PMC5010560&blobtype=pdf" target="_blank" rel="nofollow">[PDF]</a></b> </p><span class="r_subtitle"><img src="/img/openaccess.ico" alt="open access: yes" title="open access: yes" width="16" height="16"><i>Springerplus</i>, 2016 </span><br><span class="r_sub"><i>Verma RU, Seol Y.</i></span><br><small><a href="https://europepmc.org/article/MED/27652051#free-full-text" target="_blank" rel="nofollow" title="europepmc.org/article/MED/27652051#free-full-text">europepmc</a> </small> <div id="more_2" style="display:none"><a href="/sci_redir.php?doi=10.1186%2Fs40064-016-3163-8" target="_blank" rel="nofollow">openaccessbutton.org (pdf)</a><br><a href="javascript:navigator.clipboard.writeText('10.1186/s40064-016-3163-8'); alert('Copied the doi');">copy doi</a> <small>(10.1186/s40064-016-3163-8)</small><br></div><small><a href="#" onClick="return toggle_div(this, 'more_2')">+1 more source</a></small><br></div><div class="r"><p class="r_title"><a href="https://doi.org/10.1186/s40064-016-2165-x" target="_blank" rel="nofollow">Integral inequalities under beta function and preinvex type functions.</a> <b><a href="https://europepmc.org/backend/ptpmcrender.fcgi?accid=PMC4844589&blobtype=pdf" target="_blank" rel="nofollow">[PDF]</a></b> </p><span class="r_subtitle"><img src="/img/openaccess.ico" alt="open access: yes" title="open access: yes" width="16" height="16"><i>Springerplus</i>, 2016 </span><br><span class="r_sub"><i>Ahmad I.</i></span><br><small><a href="https://europepmc.org/article/MED/27186485#free-full-text" target="_blank" rel="nofollow" title="europepmc.org/article/MED/27186485#free-full-text">europepmc</a> </small> <div id="more_3" style="display:none"><a href="/sci_redir.php?doi=10.1186%2Fs40064-016-2165-x" target="_blank" rel="nofollow">openaccessbutton.org (pdf)</a><br><a href="javascript:navigator.clipboard.writeText('10.1186/s40064-016-2165-x'); alert('Copied the doi');">copy doi</a> <small>(10.1186/s40064-016-2165-x)</small><br></div><small><a href="#" onClick="return toggle_div(this, 'more_3')">+1 more source</a></small><br></div><div class="r"><p class="r_title"><a href="https://doi.org/10.1186/s13660-018-1944-z" target="_blank" rel="nofollow">On properties of geodesic semilocal E-preinvex functions.</a> <b><a href="https://europepmc.org/backend/ptpmcrender.fcgi?accid=PMC6302145&blobtype=pdf" target="_blank" rel="nofollow">[PDF]</a></b> </p><span class="r_subtitle"><img src="/img/openaccess.ico" alt="open access: yes" title="open access: yes" width="16" height="16"><i>J Inequal Appl</i>, 2018 </span><br><span class="r_sub"><i>Kılıçman A, Saleh W.</i></span><br><small><a href="https://europepmc.org/article/MED/30839923#free-full-text" target="_blank" rel="nofollow" title="europepmc.org/article/MED/30839923#free-full-text">europepmc</a> </small> <div id="more_4" style="display:none"><a href="/sci_redir.php?doi=10.1186%2Fs13660-018-1944-z" target="_blank" rel="nofollow">openaccessbutton.org (pdf)</a><br><a href="javascript:navigator.clipboard.writeText('10.1186/s13660-018-1944-z'); alert('Copied the doi');">copy doi</a> <small>(10.1186/s13660-018-1944-z)</small><br></div><small><a href="#" onClick="return toggle_div(this, 'more_4')">+1 more source</a></small><br></div><div class="r"><p class="r_title"><a href="https://doi.org/10.1186/s13660-018-1950-1" target="_blank" rel="nofollow">Hermite-Hadamard type inequalities for <i>F</i>-convex function involving fractional integrals.</a> <b><a href="https://europepmc.org/backend/ptpmcrender.fcgi?accid=PMC6311190&blobtype=pdf" target="_blank" rel="nofollow">[PDF]</a></b> </p><span class="r_subtitle"><img src="/img/openaccess.ico" alt="open access: yes" title="open access: yes" width="16" height="16"><i>J Inequal Appl</i>, 2018 </span><br><span class="r_sub"><i>Mohammed PO, Mohammed PO, Sarikaya MZ.</i></span><br><small><a href="https://europepmc.org/article/MED/30839932#free-full-text" target="_blank" rel="nofollow" title="europepmc.org/article/MED/30839932#free-full-text">europepmc</a> </small> <div id="more_5" style="display:none"><a href="/sci_redir.php?doi=10.1186%2Fs13660-018-1950-1" target="_blank" rel="nofollow">openaccessbutton.org (pdf)</a><br><a href="javascript:navigator.clipboard.writeText('10.1186/s13660-018-1950-1'); alert('Copied the doi');">copy doi</a> <small>(10.1186/s13660-018-1950-1)</small><br></div><small><a href="#" onClick="return toggle_div(this, 'more_5')">+1 more source</a></small><br></div><div class="r"><p class="r_title"><a href="https://doi.org/10.1167/iovs.62.14.30" target="_blank" rel="nofollow">Report From the National Eye Institute Workshop on Neuro-Ophthalmic Disease Clinical Trial Endpoints: Optic Neuropathies.</a> <b><a href="https://europepmc.org/backend/ptpmcrender.fcgi?accid=PMC8648055&blobtype=pdf" target="_blank" rel="nofollow">[PDF]</a></b> </p><span class="r_subtitle"><img src="/img/openaccess.ico" alt="open access: yes" title="open access: yes" width="16" height="16"><i>Invest Ophthalmol Vis Sci</i>, 2021 </span><br><span class="r_sub"><i>Levin LA<span id="ma_6" style="display:none">, Sengupta M, Balcer LJ, Kupersmith MJ, Miller NR.</span> <small><a href="#" style="color:#808080;" onClick="return toggle_div(this, 'ma_6')">+4 more</a></small></i></span><br><small><a href="https://europepmc.org/article/MED/34846515#free-full-text" target="_blank" rel="nofollow" title="europepmc.org/article/MED/34846515#free-full-text">europepmc</a> </small> <div id="more_6" style="display:none"><a href="/sci_redir.php?doi=10.1167%2Fiovs.62.14.30" target="_blank" rel="nofollow">openaccessbutton.org (pdf)</a><br><a href="javascript:navigator.clipboard.writeText('10.1167/iovs.62.14.30'); alert('Copied the doi');">copy doi</a> <small>(10.1167/iovs.62.14.30)</small><br></div><small><a href="#" onClick="return toggle_div(this, 'more_6')">+1 more source</a></small><br></div><div class="r"><p class="r_title"><a href="https://doi.org/10.1039/d5ra07866k" target="_blank" rel="nofollow">Permanent electrostatic moments through the lens of atoms: assessing variational Hirshfeld methods.</a> <b><a href="https://europepmc.org/backend/ptpmcrender.fcgi?accid=PMC12829589&blobtype=pdf" target="_blank" rel="nofollow">[PDF]</a></b> </p><span class="r_subtitle"><img src="/img/openaccess.ico" alt="open access: yes" title="open access: yes" width="16" height="16"><i>RSC Adv</i></span><br><span class="r_sub"><i>van Zyl M<span id="ma_7" style="display:none">, Castillo-Orellana C, Pujal L, Heidar-Zadeh F.</span> <small><a href="#" style="color:#808080;" onClick="return toggle_div(this, 'ma_7')">+3 more</a></small></i></span><br><small><a href="https://europepmc.org/article/MED/41584130#free-full-text" target="_blank" rel="nofollow" title="europepmc.org/article/MED/41584130#free-full-text">europepmc</a> </small> <div id="more_7" style="display:none"><a href="/sci_redir.php?doi=10.1039%2Fd5ra07866k" target="_blank" rel="nofollow">openaccessbutton.org (pdf)</a><br><a href="javascript:navigator.clipboard.writeText('10.1039/d5ra07866k'); alert('Copied the doi');">copy doi</a> <small>(10.1039/d5ra07866k)</small><br></div><small><a href="#" onClick="return toggle_div(this, 'more_7')">+1 more source</a></small><br></div><div class="r"><p class="r_title"><a href="https://doi.org/10.1038/s41467-023-41139-3" target="_blank" rel="nofollow">Proteogenomics of different urothelial bladder cancer stages reveals distinct molecular features for papillary cancer and carcinoma in situ.</a> <b><a href="https://europepmc.org/backend/ptpmcrender.fcgi?accid=PMC10499981&blobtype=pdf" target="_blank" rel="nofollow">[PDF]</a></b> </p><span class="r_subtitle"><img src="/img/openaccess.ico" alt="open access: yes" title="open access: yes" width="16" height="16"><i>Nat Commun</i>, 2023 </span><br><span class="r_sub"><i>Yao Z<span id="ma_8" style="display:none">, Xu N, Shang G, Wang H, Tao H, Wang Y, Qin Z, Tan S, Feng J, Zhu J, Ma F, Tian S, Zhang Q, Qu Y, Hou J, Guo J, Zhao J, Hou Y, Ding C.</span> <small><a href="#" style="color:#808080;" onClick="return toggle_div(this, 'ma_8')">+18 more</a></small></i></span><br><small><a href="https://europepmc.org/article/MED/37704624#free-full-text" target="_blank" rel="nofollow" title="europepmc.org/article/MED/37704624#free-full-text">europepmc</a> </small> <div id="more_8" style="display:none"><a href="/sci_redir.php?doi=10.1038%2Fs41467-023-41139-3" target="_blank" rel="nofollow">openaccessbutton.org (pdf)</a><br><a href="javascript:navigator.clipboard.writeText('10.1038/s41467-023-41139-3'); alert('Copied the doi');">copy doi</a> <small>(10.1038/s41467-023-41139-3)</small><br></div><small><a href="#" onClick="return toggle_div(this, 'more_8')">+1 more source</a></small><br></div><div class="r"><p class="r_title"><a href="https://doi.org/10.1186/s12974-025-03503-6" target="_blank" rel="nofollow">A systematic review of the causes and consequences of spreading depolarization in neuroinflammation; implications for neurovascular disorders.</a> <b><a href="https://europepmc.org/backend/ptpmcrender.fcgi?accid=PMC12243393&blobtype=pdf" target="_blank" rel="nofollow">[PDF]</a></b> </p><span class="r_subtitle"><img src="/img/openaccess.ico" alt="open access: yes" title="open access: yes" width="16" height="16"><i>J Neuroinflammation</i></span><br><span class="r_sub"><i>Anwar F<span id="ma_9" style="display:none">, Grech O, Mugo CW, Roberts JA, Hubbard JC, Thomas CN, Sinclair AJ, Hill LJ.</span> <small><a href="#" style="color:#808080;" onClick="return toggle_div(this, 'ma_9')">+7 more</a></small></i></span><br><small><a href="https://europepmc.org/article/MED/40634990#free-full-text" target="_blank" rel="nofollow" title="europepmc.org/article/MED/40634990#free-full-text">europepmc</a> </small> <div id="more_9" style="display:none"><a href="/sci_redir.php?doi=10.1186%2Fs12974-025-03503-6" target="_blank" rel="nofollow">openaccessbutton.org (pdf)</a><br><a href="javascript:navigator.clipboard.writeText('10.1186/s12974-025-03503-6'); alert('Copied the doi');">copy doi</a> <small>(10.1186/s12974-025-03503-6)</small><br></div><small><a href="#" onClick="return toggle_div(this, 'more_9')">+1 more source</a></small><br></div><div class="r"><p class="r_title"><a href="https://doi.org/10.1161/circresaha.125.326002" target="_blank" rel="nofollow">Leveraging Single-Cell Technologies to Advance Understanding of Myocardial Disease.</a> <b><a href="https://europepmc.org/backend/ptpmcrender.fcgi?accid=PMC12768456&blobtype=pdf" target="_blank" rel="nofollow">[PDF]</a></b> </p><span class="r_subtitle"><img src="/img/openaccess.ico" alt="open access: yes" title="open access: yes" width="16" height="16"><i>Circ Res</i></span><br><span class="r_sub"><i>Gardner RS, Tucker NR, Amancherla K.</i></span><br><small><a href="https://europepmc.org/article/MED/41481683#free-full-text" target="_blank" rel="nofollow" title="europepmc.org/article/MED/41481683#free-full-text">europepmc</a> </small> <div id="more_10" style="display:none"><a href="/sci_redir.php?doi=10.1161%2Fcircresaha.125.326002" target="_blank" rel="nofollow">openaccessbutton.org (pdf)</a><br><a href="javascript:navigator.clipboard.writeText('10.1161/circresaha.125.326002'); alert('Copied the doi');">copy doi</a> <small>(10.1161/circresaha.125.326002)</small><br></div><small><a href="#" onClick="return toggle_div(this, 'more_10')">+1 more source</a></small><br></div><div class="r"><div style="margin-bottom:2px;overflow:hidden"><div style="display: inline-block; float: left; font-size: small; padding-right: 16px; margin-top: -1px; padding-bottom: 1px;"><a href="/q-mathematics/" class="suggestion"onclick="show_loader();"><b>mathematics</b></a><br/><a href="/q-nonlinear_programming/" class="suggestion"onclick="show_loader();"><b>nonlinear programming</b></a><br/><a href="/q-nonconvex_programming%2C_global_optimization/" class="suggestion"onclick="show_loader();"><b>nonconvex programming, global optimization</b></a><br/></div><div style="display: inline-block; float: left; font-size: small; padding-right: 16px; margin-top: -1px; padding-bottom: 1px;"><a href="/q-applied_mathematics/" class="suggestion"onclick="show_loader();"><b>applied mathematics</b></a><br/><a href="/q-generalized_convexity/" class="suggestion"onclick="show_loader();"><b>generalized convexity</b></a><br/><a href="/q-nonsmooth_analysis/" class="suggestion"onclick="show_loader();"><b>nonsmooth analysis</b></a><br/></div><div style="display: inline-block; 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