SLOKA No. 11 of Sri Vishnu Sahasra Nama Stotram

om namo bhgavate vasudevaya!

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ajassarveSvara ssiddhah ssiddhissarvaadi rachyutah

vrushaakapi rameyaatmaa sarvayoga vinistritah

अजास्सर्वेश्वर सिद्धः सिद्धिस्सरवादी रच्युतः 

वृषाकपि रमेयात्मा सर्वयोग विनिस्तृतः

అజస్సర్వేశ్వర స్సిద్ధః స్సిద్ధిస్సర్వాది రచ్యుతః

వృషాకపి రమేయాత్మా సర్వయోగ వినిస్తృతః

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The sloka no. 11 contains 9 namas. They are listed below:

96) ajah (अजः) (అజః)

97) sarveSvarah (सर्वेश्वरः) (సర్వేశ్వరః)

98) siddhah (सिद्धः) (సిద్ధః)

99) siddhihi (सिद्धिः) (సిద్ధిః)

100) sarvaadihi (सर्वादिः) (సర్వాదిః)

101) achyutah (अच्युतः) (అచ్యుతః)

102) vrishaakapih (वृषाकपिः) (వృషాకపిః)

103) ameyaatmaa (अमेयात्मा) (అమేయాత్మా)

104) sarvayogavinissritah (सर्वयोगविनिस्स्रितह) (సర్వయోగవినిస్సృతః)

Their meanings are presented below:

nama no. 96) ajah (अजः) (అజః)

om ajaaya namah (ओं अजाय नमः) (ఓం అజాయ నమః)

This nama 'ajah' will also appear 2 more times later. However, there is no repetition of the meanings of the namas as they are explained in the context of their appearance.. From the 89th nama of 'viSwaretah' onwards, the namas are revealing the different ways by which the paramaatma blesses and protects His devotees.

The word 'aja' here means - remove, throw away. The paramaatma is called 'ajah' as He removes the obstacles that are preventing His devotees to reach Him.

nama no. 97) sarveSvarah (सर्वेश्वरः) (సర్వేశ్వరః)

on sarveSvaraaya namah (ओं सर्वैश्वराय नमः) (ఓం సర్వేశ్వరాయ నమః)

sarva = all.

eeSvara = one who reaches out faster

In the context of the present sloka, this nama 'sarveSvarah means that the Lord Vishnu reaches out quickly to all of His devotees without any hesitation whether they have the ability to reach Him or not.  He even blessed people like SiSupaala with His divine appearance and gave them moksha.

nama no. 98) siddhah (सिद्धः) (సిద్ధః)

om siddhaaya namah (ओं सिद्धाय नमः) (ఓం సిద్ధాయ నమః)

The nama 'siddha' reveals that Lord Vishnu had already established Himself for the sake of protection of His devotees.

nama no. 99) siddhihi (सिद्धिः) (సిద్ధిః)

om siddhaye namah (ओं सिद्धये नमः) (ఓం సిద్ధయే నమః)

Some take the path of tapasya, yagya, and strict penance with the desire of attaining the blessings of God. Some others follow other methods such as pooja, archana, namashkara, pradeekshana, donations, service unto others

nama no. 100) sarvaadihi (सर्वादिः) (సర్వాదిః)

om sarvaadaye namah (ओं सर्वादये नमः) (ఓం సర్వాదయే నమః)

As He is the root source of all the desired results, He is called 'sarvaadihi.'

sarveshaam = all types of desired results

aadihi = root cause

nama no. 101) achyutah (अच्युतः) (అచ్యుతః)

om achyutaaya namah (ओं अच्युताय नमः) (ఓం అచ్యుతాయ నమః)

While the other deavtaas go back to their loka after giving their bhaktaas what they prayed for, Lord Vishnu doesn't leave His bhaktaas. That's why He is called achyutah.

na + chyutah = achyutah

nama no. 102) vrishaakapih (वृषाकपिः) (వృషాకపిః)

om vrishaakapiye namah (ओं वृषाकपिये नमः) (ఓం వృషాకపియే నమః)

This nama 'vrishaakapi' describes the divinely righteous 'varaaha roopa' of the paramaatma, the achyuta who cannot stay away from His bhaktaas.

vrisha = the best dharma; kapi = varaaha roopa

The nama 'vrishaakapi' refers to the swamy as He took the form of varaaha in order to liberate the earth from the demon HiraNyaaksha.

nama no. 103) ameyaatmaa (अमेयात्मा) (అమేయాత్మా)

om ameyaatmane namah (ओं अमेयात्मने नमः) (ఓం అమేయాత్మనే నమః)

'meyam' means something that can be dissected and measured. 

As Lord Vishnu has a swaroopa that is unlimited and unmeasurable, He is called 'ameyaatmaa.'

nama no. 104) sarvayogavinissritah (सर्वयोगविनिस्स्रितह) (సర్వయోగవినిస్సృతః)

om sarvayogavinissritaaya namah  (ओं सर्वयोगविनिस्स्रिताय नमः)  (ఓం సర్వయోగవినిస్సృతాయ  నమః)

sarva = all; yoga = idea; vinissritah = unearthing hidden things with an effort

Lord Vishnu can be felt and perceived through sincere efforts by employing all different types of ideas and methods stated in the vedas. That's why He is called sarvayogavinissritah. Since He is 'ameyaatmaa' as stated in the earlier nama, He can be perceived only when attempted through many different methods.

om namo narayanaya.