Is there a cache memory in android smartphone as there is in laptop/desktop?

Look at the Wikipedia disambiguation page for different definitions of cache.

Speaking of cache memory: yes there is, in a similar way to desktop processors. Take Qualcomm Snapdragon 820 as an example:

L1 Instruction Cache per Core: 32 Kbyte I-Cache

L1 Data Cache per Core: 32 Kbyte D-Cache

Total L2 Cache: 1536 Kbyte L2

As for the "lrucache" you talked about, it's merely a part of memory space allocated to store content (in that context, bitmaps). It's much more similar to the other caches e.g. Web Cache on the page, in that it's purely software based - no dedicated software, dynamically allocated and released on storage. Different concept.