B.G 4.11
yē yathā māṁ prapadyantē tāṁstathaiva bhajāmyaham। mama vartmānuvartantē manuṣyāḥ pārtha sarvaśaḥ ॥11॥
As they worship Me, accordingly I reciprocate to them. O Arjuna, humans are subsurvient to my ways in all aspects.
Gīta Bhāshya 4.11
The word "bhajāmi" is used in the current context to mean - "I partake by giving fruits". The names of multiple deities refer to one supreme lord only.
na ca madbhajanamātrēṇa muktiḥ bhavati anyadēvatādirūpēṇa। tathāpi sarvēṣām anurūpyēṇa phalaṁ dadāmi ityāha - yē yathā iti॥
By merely partaking Me in any other god forms, liberation is not obtained. Hence, it is conveyed through "yē yathā" verse, "I grant everyone the results according to their respective deeds".
bhajāmi sēvayāmi phaladānēna। na tu guṇabhāvēna। kathamayaṁ viśēṣa ityata āha - mama vartmēti॥
The word "bhajāmi" is used here in the context to mean - "I partake by giving fruits". It certainly is not meant to praise the qualities (of the beings). How is this special?, is explained by stating - "being subservient to My ways".
anyadēvatāḥ yajantō'pi mama vartmaiva anuvartantē। sarvakarmakartr̥tvāt bhōktr̥tvācca mama।
Even those who worship other deities follow my path only. As I am the doer of all actions and also their enjoyer.
"yō'pyanyadēvatā bhaktāḥ।"
iti vakṣyati।
"Even those who worship other deities"
- same is stated at B.Gita 9.23 as well.
"yō dēvānāṁ nāmadhā ēka ēva"
iti hi śrutiḥ।
"Those deities possessing multiple names are one person only."
- thus asserts, with certainty, Vedic testimonial.
bhagavānēva ca tatra abhidhīyatē।
The understanding of the lord only is established in this context, by statements such as
"ajasya nābhau adhyēka marpitam"
ityādi talliṅgāt ॥11॥
"Is offered to the unborn, the one with the navel, the foremost one..."
- addressed to that distinguished personality (showing the referred god as none other than lord Vishnu, in Padmanabha form).
Gīta Tātparya 4.11
"tathaiva bhajāmi" = I give results accordingly. Even the worship of other deities must ultimately be dedicated to Lord Vishnu in order to yield results.
tathaiva bhajāmi tadanusāriphaladānarūpēṇa। anyadēvatāyājināmapi matsamarpaṇēna vaiṣṇavamārgānuvartanēnaiva samyak phalaṁ bhavati।
The words "tathaiva bhajāmi" mean "I give results accordingly". Even the worshippers of other deities dedicate to me only, but following directly Vaishnavism produces better results.
anyadaivatapūjā'pi yasminnantē samarpitā। svargādiphalahētuḥ syāt nānyathā taṁ bhajēddharim॥
ityāgnēyē ॥11-12॥
"Even the worship of other deities becomes the cause of heaven and other rewards, only when they are dedicated to lord Vishnu in the end, not otherwise."
-states Agni Purana.
