We prove the existence of a unique SRB measure for a wide range of multidimensional weakly coupled map lattices. These include piecewise expanding maps with diffusive coupling.

We prove the existence of innnitely many weakly harmonic maps from a domain of R n into S 2 for non-constant smooth boundary data.

We prove that Mann and Ishikawa iterations are equivalent models dealing with ψ-uniformly pseudocontractive or d-weakly contractive maps without bounded range.

The aim of this paper is to establish some common fixed point theorems under occasionally weakly compatible maps using implicit functions.

In this paper, employing the property (E.A), we prove a common fixed theorem for weakly compatible maps using contractive condition in intuitionistic fuzzy metric space.

We consider in dimension four weakly convergent sequences of approximate biharmonic maps to a Riemannian manifold with bi-tension fields bounded in L for p > 4 3 . We prove an energy identity that accounts for the loss of hessian energies by the sum of hessian energies over finitely many nontrivial biharmonic maps on R. As a corollary, we obtain an energy identity for the heat flow of biharmoni...

In this paper the concept of finitistic spaces in L-topological spaces is introduced by means of α-Q-covers of open Lsubsets. Also a characterization of finitistic spaces in the weakly induced L-topological spaces is obtained. Moreover the behavior of finitistic spaces under various types of maps such as fuzzy perfect maps is also investigated. 48 T. Baiju and Sunil Jacob John

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 introduce the concepts of r-closure and r-interior defined by intuitionistic gradation of openness. We also introduce the concepts of r-gp-maps, weakly r-gp-maps, and obtain some characterizations in terms of r-closure and r-interior operators.

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.