$\rho$-Attractive Elements in Modular Function Spaces

H. Iqbal, M. Abbas, S. H. Khan

In this paper, we introduce the notion of $\rho $-attractive elements in modular function spaces. A new class of mappings called $\rho $-$k$-nonspreading mappings is also introduced. Making a good use of the two notions, we first prove existence results and then some approximation results in the setup of modular function spaces. An example is presented to support the results proved herein.