Topological groups, which integrate algebraic group structures with continuous topologies, and metric spaces, defined by a distance function, form a fundamental basis for modern mathematical analysis.

Continuation of APPM 4440. Study of multidimensional analysis including n-dimensional Euclidean space, continuity and uniform continuity of functions of several variables, differentiation, linear and ...

ABSTRACT. In this paper, we prove a common fixed point theorem in a probabilistic metric space by combining the ideas of pointwise 𝑅 -weak commutativity and reciprocal continuity of mappings ...