TY - JOUR ID - 255058 TI - On a Class of Sequences Related to $p$-Absolutely Summable Sequences in Metric Space Defined by Orlicz Functions JO - Sahand Communications in Mathematical Analysis JA - SCMA LA - en SN - 2322-5807 AU - Dey, Rinku C AU - Tripathy, Binod Chandra AD - Department of Mathematics, Jagannath Barooah College, Jorhat 785001, Assam, India. AD - Department of Mathematics, Tripura University, Suryamaninagar, Agartala799022, Tripura, India. Y1 - 2022 PY - 2022 VL - 19 IS - 4 SP - 25 EP - 38 KW - Metric space KW - Orlicz function KW - $p$-absolutely summable sequences KW - Solid space KW - Symmetric space DO - 10.22130/scma.2022.538729.986 N2 - In this article we have introduced the sequence space $m(\phi,d)$ and $m(M,\phi,d)$ of W. L. C. Sargent type in a metric space $(X, d)$ on generalising the sequence space $m(\phi)$ and we have defined these sequence spaces using the Orlicz function $M$. We have investigated their different properties like solidness, symmetricity, monotone, sequence algebra, completeness etc. We have established some inclusion results involving the space $m(M,\phi,d)$ and some of the existing sequence spaces. We have provided suitable examples and discussed in detail, in order to justify the failure cases and the definitions we have introduced. The results established in this article generalized and unifies several existing results. UR - https://scma.maragheh.ac.ir/article_255058.html L1 - https://scma.maragheh.ac.ir/article_255058_e77af399e2a00cd50168319a19d9b941.pdf ER -