Fixed Point Theorems for Generalized$\theta -\varphi -$Expansive Mapping in Rectangular Metric Spaces

Abstract

In this paper, we present the notion of θ − ϕ − expansive mapping in complete rectangular metric spaces and study various fixed point theorems for such mappings. The presented theorems extend, generalize, and improve many existing results in the literature.

New Fixed Point Theorems for θ − ω − Contraction on λ , μ

“…In 1922, a Polish mathematician Banach introduced a contraction principle [6], which was one of the most applicable results in mathematics. In recent times, many generalizations and improvement of the Banach contraction principle have appeared in the literature (see [7][8][9][10][11][12][13]).…”

“…Various fixed point results have been established on such spaces; for example, Nazam et al [19][20][21] have proved some fixed point and common fixed point results in partial metric and S-metric spaces. For more details, see [12,22,23]).…”