Keywords: Volterra–Stieltjes integral equation Fractional integral–differential equations Riemann–Liouville fractional operators Existence and stability of solutions Fixed point a b s t r a c t Our aim in this paper is to study the existence and the stability of solutions for Riemann–Liouville Volterra–Stieltjes quadratic integral equations of fractional order. Our results are obtained by using...

In this paper, we study the existence of coupled coincidence andcoupled common fixed points for single-valued and fuzzy mappingsunder a contractive condition in metric space. Presented theoremsextend and improve the main results of Abbas and$acute{C}$iri$acute{c}$ {itshape et al.} [M. Abbas, L.$acute{C}$iri$acute{c}$, {itshape et al.}, Coupled coincidenceand common fixed point theorems for hybr...

A common fixed point theorem using EA-property for four weakly compatible maps is obtained in the setting of Gmetric spaces without exploiting the notion of continuity. Our results generalize the results of Abbas and Rhoades[7], and Manro et. al.[11]. Moreover, we show that these maps satisfy property R. Applications to certain intergral equations and functional equations are also obtained.

The object of this paper is to establish a theorem for a unique common fixed point of four self mappings, weakly compatibile in pairs and satisfying a generalized contractive condition in a cone metric space. Our result generalizes and synthesizes the results of Abbas– Jungck [1], Arshad et al. [2], Huang–Zhang [3] and Vetro [8].

PARIVASH DAVOODIAN*, HABIB DADVAND**, MARZIEH RAZ-NAHAN***, SHAHRAM BAGHESTANI****, ABDOLALI MAHBUBI**** & AYUB BAGERI***** *Depatment of infectious Disease, Hormozgan University of Medical Sciences, Bandar Abbas, Iran **Hormozgan University of Medical Sciences, Bandar Abbas, Iran ***Tuberculosis and leprosy center, Hormozgan, Iran ****Department of Dermatology, Hormozgan University of Medical ...