Fixed-Point Theorems for α-Admissible Mappings with ω -Distance and Applications to Nonlinear Integral Equations

摘要

Two fixed-point theorems for alpha-admissible mappings satisfying contractive inequality of integral type with w-distance in complete metric spaces are proved. Our results extend and improve a few existing results in the literature. As applications, we use the fixed-point theorems obtained in this paper to establish solvability of nonlinear integral equations. Examples are included.