Fixed points of weakly compatible mappings satisfying a generalized common limit range property

Abstract

In this paper, we produce new fixed point theorems for 2n self-mappings ℘ a

On the nonlinear Hadamard-type integro-differential equation

“…There are new studies on fixed point theorems for different operators on metric spaces [ 26 – 28 ], as well as their applications in differential and integral equations, existence and uniqueness of solutions for equations [ 29 – 31 ]. Palve et al [ 32 ] recently constructed the existence and uniqueness of solutions for the fractional implicit differential equation with boundary condition of the form where is the Hilfer–Hadamard type fractional derivative of order α and type β given by and with and .…”

A fixed point theorem on multiplicative metric space with integral-type inequality

“…Chauhan et al [13] proved FPTs by the help of integral-type contractions and provided the applications of their results. Recently, Khan et al [21] introduced a generalized class of common limit range property for 2n self-mappings and proved fixed point theorems by means of some integral inequalities.…”