FIXED POINT THEOREMS FOR POINTWISE KANNAN MAPPINGS IN VARIABLE EXPONENT SPACES l_p(·)

In 1931, Orlicz introduced the sequence spaces l_p(·), originally in the context of lacunary Fourier series. Since then, there have been significant advancements in understanding these spaces and their continuous counterparts. In this work, we utilize the modular geometric properties of l_p(·), which depend on the exponent function l_p(·), to examine the fixed point properties of Kannan and enriched Kannan mappings in the modular setting. Specifically, we define and investigate the case of pointwise Kannan contraction mappings. This research offers a novel exploration in this field.