Published May 28, 2026 | Version v1

On the Sarkar's metric space with special emphasis on asymptotically regular maps and their applications

  • 1. 𝐑𝐞𝐬𝐞𝐚𝐫𝐜𝐡 𝐒𝐜𝐡𝐨𝐥𝐚𝐫 ,𝐆𝐨𝐯𝐭.( 𝐌.𝐕.𝐌.) 𝐁𝐡𝐨𝐩𝐚𝐥 (𝐌.𝐏)𝐈𝐧𝐝𝐢𝐚
  • 2. 𝐆𝐨𝐯𝐭.( 𝐌.𝐕.𝐌.) 𝐁𝐡𝐨𝐩𝐚𝐥 (𝐌.𝐏)𝐈𝐧𝐝𝐢𝐚
  • 3. 𝐒𝐰𝐚𝐦𝐢 𝐕𝐢𝐯𝐞𝐤𝐚𝐧𝐚𝐧𝐝 𝐆𝐨𝐯𝐭.𝐏𝐆 𝐂𝐨𝐥𝐥𝐞𝐠𝐞 (𝐏𝐌𝐂𝐎𝐄) 𝐑𝐚𝐢𝐬𝐞𝐧 (𝐌.𝐏) India

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Abstract: Indian Mathematician Krishna Kant Sarkar et.al defined a new Menger space called S- Menger space. In the present paper, we are introducing the concept of asymptotically regular maps and sequences in S -Menger space. As an application of these sequences and maps we have proved fixed point results with examples.

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