Common fixed point theorems for two pairs of non-self mappings

On Solution of Nonlinear Integral and Fractional Differential Equations via Discontinuous Nonlinear Contractions

“…Te respective authors also presented the Boyd and Wong variant of the fxed point theorem in the same metric settings (see [8]). Imdad and Kumar [9] extended the existing results by relaxing "continuity" and lightening the "commutativity" requirement besides increasing the number of involved maps from "two" to "four." Several other researchers extended these results in diferent directions.…”

Some Fixed Point Theorems for Boyd and Wong Type Contraction Mapping in Ordered Partial Metric Spaces with an Application

“…whereby (M, ϱ) is a complete metric space, and a mapping χ: [0, ∞) ⟶ [0, ∞) is upper semicontinuous from the right on [0, ∞) such that χ(t) < t, ∀t > 0. Consequently, T has a unique fixed point z ∈ M and ϱ(T n u, z) ⟶ 0 as n ⟶ ∞, ∀u ∈ M. Imdad and Kumar [3] extended the existing results by relaxing "continuity" and lightening the "commutativity" requirement besides increasing the number of involved maps from "two" to "four." Several other researchers extended these results in different directions.…”

Common fixed point theorems for nonself‐mappings in metrically convex spaces via altering distances

“…In recent years, this technique due to Assad and Kirk [2] has been utilized by many researchers of this domain and by now there exists considerable literature on this topic. To mention a few, we cite [1,2,5,6,7,8,11,12].…”