i have an element whose position is absolute the only issue i am facing is i have applied some properties to align it center horizontally and it is working fine on mozilla b
A useful trick to center elements is to use the transform: translate style together with either top, margin-left left or margin-top.
To answer your question, you have to apply the following styles to your .slider a.downarrow element:
left: 50%;
transform: translateX(-50%);
The way this works is because if translate is used with a percentage value, its value is calculated based on the elements height/width on which it is applied on.
top, margin-left left and margin-top percentage values are calculated based on the parent element or in case the element has position: absolute applied to it based on the nearest parent with position: relative/absolute.
To center an element you just need to apply a value of 50% to either top, margin-left left or margin-top and a value of -50% to translate.
For left and margin-left you have to use translateX(-50%) and for the others translateY(-50%).
EDIT: Added an explanation