Keywords : Coincidence point Common fixed point Partial metric space Weakly compatible pair of mappings Homotopy a b s t r a c t In this paper , common fixed point theorems for four mappings satisfying a generalized nonlinear contraction type condition on partial metric spaces are proved. Presented theorems extend the very recent results of I. Altun , F. Sola and H. Simsek [ Generalized contrac...

In [Coupled fixed points for a class of contractions in partially ordered spaces and applications, J. Comput. Anal. Appl. vol. 13, no. 6, (2011), 1123-1131], Jiandong Yin introduced the concept of a mixed g-comparable mapping F : X2 → X and proved coupled coincidence point theorems for a class of nonlinear contractive mappings. In this paper, we introduce the concept of a mixed g-comparable map...

In this paper, by using a simple technique, we obtain several existence results of the solutions for general variational inequalities of Stampacchia type. We also show, that the existence of a coincidence point of two mappings is equivalent to the existence of the solution of a particular general variational inequality of Stampacchia type. As applications several coincidence and fixed point res...

A Lefschetz-type coincidence theorem for two maps f, g : X → Y from an arbitrary topological space to a manifold is given: Ifg = λfg, that is, the coincidence index is equal to the Lefschetz number. It follows that if λfg 6= 0 then there is an x ∈ X such that f(x) = g(x). In particular, the theorem contains well-known coincidence results for (i) X,Y manifolds, f boundary-preserving, and (ii) Y ...

In this paper, we first introduce the class of generalized nonexpansive mappings in Banach spaces. This class contains both the classes of nonexpansive and ̨-nonexpansive mappings. In addition, we obtain some fixed point and coincidence point theorems for generalized nonexpansive mappings in uniformly convex Banach spaces. Our results extend some wellknown results in literature. 2010 Mathematic...

We give an extension to coincidence theory of some key ideas from Nielsen fixed point theory involving remnant properties of free group homomorphisms. In particular we extend Wagner’s theorem for computing Reidemeister classes for Wagner characteristic homomorphisms, which allows us to compute doubly twisted conjugacy classes in many cases. We also extend Kim’s method for homomorphisms with bou...

OBJECTIVES This study investigates coincidence of the most-prominent point and the mid-point on upper anterior teeth in relation to the use of straight-wire appliances. MATERIALS AND METHODS Alginate impressions of the upper jaw were obtained from forty Caucasian patients. Impressions were cast using hard dental stone. The teeth on each upper study model (canine to canine) were marked along t...