Contraction theory is a powerful tool for proving asymptotic properties of nonlinear dynamical systems including convergence to an attractor and entrainment to a periodic excitation.We consider generalizations of contractionwith respect to a norm that allow contraction to take place after small transients in time and/or amplitude. These generalized contractive systems (GCSs) are useful for seve...

In the present paper, we establish a fixed point theorem for a mapping and a common fixed point theorem for a pair of mappings. The mapping involved here generalizes various type of contractive mappings in integral setting.

In this paper, we prove common fixed point theorems for four mappings by using pointwise R-weakly commuting and reciprocally continuous mappings satisfying contractive condition in intuitionistic fuzzy metric spaces. AMS Subject Classification: 47H10, 54H25

Inspired by the concept of integral type (Branciari type) contractive condition and respective fixed point results, we derive some new common fixed point theorems for quadruple self mappings satisfying a generalized W -contractive condition or a generalized -contractive condition of integral type, also using the notions of compatibility and subsequential continuity (alternately subcompatibility...

The fixed point theorems in metric spaces are playing a major role to construct methods in mathematics to solve problems in applied mathematics and sciences. So the attraction of metric spaces to a large numbers of mathematicians is understandable. Some generalizations of the notion of a metric space have been proposed by some authors. In 2006, Mustafa in collaboration with Sims introduced a ne...

In this paper, we consider a class of nonlinear fuzzy integral equations of fractional order. The existence and uniqueness of solutions are established by the generalized Schauder theorem and contraction mapping principle.

In this paper we define a new weak contractive condition for a pair of self mappings in fuzzy metric space and prove the existence of coincidence and common fixed points. Mathematics Subject classification: 47H1, 54A40, 54E99

Important problems in wireless networks can often be solved by computing fixed points of standard or contractive interference mappings, and the conventional fixed point algorithm is widely used for this purpose. Knowing that the mapping used in the algorithm is not only standard but also contractive (or only contractive) is valuable information because we obtain a guarantee of geometric converg...