The purpose of this paper is to study the existence of fixed points for contractive-type and nonexpansive-type multivalued maps in the setting of modular function spaces. We also discuss the concept of w-modular function and prove fixed point results for weakly-modular contractive maps in modular function spaces. These results extend several similar results proved in metric and Banach spaces se...

in this paper,  we provide two different kinds of fixed pointtheorems in  fuzzy metric spaces. the first kind is for the fuzzy$varepsilon$-contractive type mappings and  the second kind is forthe fuzzy order $psi$-contractive type mappings. they improve thecorresponding  conclusions in the literature.

in this manuscript, we prove some coupled fixed point theoremsfor two pairs of self mappings satisfying contractive conditions of integraltype in generalized metric spaces. we furnish suitable illustrative examples.in this manuscript, we prove some coupled fixed point theoremsfor two pairs of self mappings satisfying contractive conditions of integraltype in generalized metric spaces. we furnis...

motivated by samet et al. [nonlinear anal., 75(4) (2012), 2154-2165], we introduce the notions of $alpha$-$phi$-fuzzy contractive mapping and $beta$-$psi$-fuzzy contractive mapping and prove two theorems which ensure the existence and uniqueness of a fixed point for these two types of mappings. the presented theorems extend, generalize and improve the corresponding results given in the literature.

Recently, Reich and Zaslavski have studied a new inexact iterative scheme for fixed points of contractive and nonexpansive multifunctions. In 2011, Aleomraninejad, et. al. generalized some of their results to Suzuki-type multifunctions.  The study of iterative schemes for various classes of contractive and nonexpansive mappings is a central topic in fixed point theory. The importance of Banach ...

We discuss the dynamics of the correspondences associated to those plane curves whose local sections contract the Poincaré metric in a hyperbolic planar domain. 1. Introduction. We consider certain 1-dimensional, holomorphic correspondences of hyperbolic type, which we call " contractive curves. " These are curves whose local sections contract the Poincaré metric of a hyperbolic planar domain. ...

and Applied Analysis 3 In fact, for n 1, using the fact that P is normal, we have ∥ ∥ ∥A u0 −Au0 ∥ ∥ ∥ ≤ N‖L Au0 − u0 ‖. 2.3 Suppose that 2.2 is true when n k then when n k 1, we obtain ∥ ∥ ∥A 2 u0 −An 1 u0 ∥ ∥ ∥ ∥ ∥ ∥A ( A 1 u0 ) −A A u0 ∥ ∥ ∥ ≤ N ∥ ∥ ∥L ( A 1 u0 −An u0 )∥ ∥ ∥ ≤ N ∥ ∥ ∥L 1 Au0 − u0 ∥ ∥ ∥. 2.4 For any m,n ∈ N,m > n, since P is normal cone, we have ‖A u0 −An u0 ‖ ∥ ∥ ∥ ( A u0 −A...

Recently‎, some researchers have established some results on existence of endpoints for multivalued mappings. In particular, Mohammadi and Rezapour's [Endpoints of Suzuki type quasi-contractive multifunctions, U.P.B. Sci. Bull., Series A, 2015] used the technique of $alpha-psi$-contractive mappings, due to Samet et al. (2012), to give some results about endpoints of Suzuki type quasi-contractiv...