Почему тернарный оператор выдает undefined в цикле?

$('input').keypress(function() { 
  var obj = [ 
    { 
      name: "Loki", 
      surname: "Man" 
    }, 
    { 
      name: "Doki", 
      surname: "Mon" 
    }, 
    { 
      name: "Fuka", 
      surname: "Don" 
    } 
  ]; 
 
  var arr = obj.map(function(item) { 
    if (item.name == 'Doki') 
      return console.log(item.name); // надо return item.name; 
    else 
      return ''; 
  }); 
  console.log(JSON.stringify(arr)); 
});

<script src="https://cdnjs.cloudflare.com/ajax/libs/jquery/3.3.1/jquery.min.js"></script> 
<input />

function test() { 
} 
var otvet = true? test() : 'defined'; 
console.log(otvet);