In the context of a complete metric space, we will consider common fixed point problem for two self operators. The operators are assumed to satisfy general contraction type condition inspired by Ćirić theorems. Under some appropriate conditions establish existence, uniqueness and approximation results point. same framework, second is study various stability properties. More precisely, obtain su...

‎in this paper‎, ‎we introduce $alpha$-$psi$-contractive mapping in partially ordered sets and construct fixed point theorems to solve a first-order ordinary differential equation by existence of its lower solution.

n this paper, we consider continuity properties(especially, regularity, also viewed as an approximation property) for $%mathcal{P}_{0}(X)$-valued set multifunctions ($X$ being a linear,topological space), in order to obtain Egoroff and Lusin type theorems forset multifunctions in the Vietoris hypertopology. Some mathematicalapplications are established and several physical implications of thema...

Jachymski [ Proc. Amer. Math. Soc., 136 (2008), 1359-1373] gave modified version of a Banach fixed point theorem on a metric space endowed with a graph. In the present paper, (G, Φ)-graphic contractions have been de ned by using a comparison function and studied the existence of fixed points. Also, Hardy-Rogers G-contraction have been introduced and some fixed point theorems have been proved. S...

‎In this paper‎, ‎we introduce $alpha$-$psi$-contractive mapping in partially ordered sets and construct fixed point theorems to solve a first-order ordinary differential equation by existence of its lower solution.

In this paper, we derive the representation formula of solution for ?-Hilfer fractional differential equation with constant coefficient in form Mittag-Leffler function by using Picard’s successive approximation. Moreover, some properties and fixed point theorems such as Banach Schaefer, introduce new results qualitative existence uniqueness. The generalized Gronwall inequality lemma is used ana...