Some fixed point theorems for generalized contractive mappings in complete metric spaces

We introduce new concepts of generalized contractive and generalized alpha-Suzuki type contractive mappings. Then, we obtain sufficient conditions for the existence of a fixed point of these classes of mappings on complete metric spaces and b-complete b-metric spaces. Our results extend the theorems of Ciric, Chatterjea, Kannan and Reich

NEW APPROACH TO CARISTI'S FIXED POINT THEOREM ON NON-ARCHIMEDEAN FUZZY METRIC SPACES

Altun, Ishak/0000-0002-7967-0554WOS: 000354830100011In the present paper, we give a new approach to Caristi's fixed point theorem on non-Archimedean fuzzy metric spaces. For this we define an ordinary metric d using the non-Archimedean fuzzy metric M on a nonempty set X and we establish some relationship between (X, d) and (X, M, *). Hence, we prove our result by considering the original Caristi's fixed point theorem

Some fixed point theorems for maps with fuzzy distance in uniform space

Altun, Ishak/0000-0002-7967-0554WOS: 000325026400027The purpose of this paper is to define the notion of fuzzy A-distance in uniform spaces and give several new common fixed point results for weakly compatible contractive or expansive selfmappings on uniform spaces

Cyclic ? -contractions on S-complete Hausdorff uniform Spaces

In this paper, we apply the concept of cyclic ? -contraction for presenting a fixed point theorem on a Hausdorff uniform space

Common fixed point of mappings satisfying almost generalized (S,T)-contractive condition in partially ordered partial metric spaces

Altun, Ishak/0000-0002-7967-0554; Rezaei Roshan, Jamal/0000-0003-4631-397XWOS: 000307724600001In this paper, we present the concept of almost generalized (S,T)-contractive condition, and combine this idea with the concept of partial metric and prove some common fixed point results in such spaces. An example is presented to verify the effectiveness and applicability of our main result. (C) 2012 Elsevier Inc. All rights reserved