Ishak Altun

Some Fixed Point Theorems on Ordered Metric Spaces and Application

We present some fixed point results for nondecreasing and weakly increasing operators in a partially ordered metric space using implicit relations. Also we give an existence theorem for common solution of two integral equations.

Fixed Point Theorems for Monotone Mappings on Partial Metric Spaces

Matthews (1994) introduced a new distance on a nonempty set , which is called partial metric. If is a partial metric space, then may not be zero for . In the present paper, we give some fixed point results on these interesting spaces.

Fixed Points of Weakly Compatible Maps Satisfying a General Contractive Condition of Integral Type

We prove a fixed point theorem for weakly compatible maps satisfying a general contractive condition of integral type.

Fixed Point Theorems for Generalized Weakly Contractive Condition in Ordered Metric Spaces

Fixed point results with the concept of generalized weakly contractive conditions in complete ordered metric spaces are derived. These results generalize the existing fixed point results in the literature.

Some coincidence point results in ordered b-metric spaces and applications in a system of integral equations

The aim of this paper is to present some coincidence point results for four mappings satisfying generalized (@j,@f)-weakly contractive condition in the framework of ordered b-metric spaces. An example and an application are also provided to support our results.

SOME FIXED POINT THEOREMS ON FUZZY METRIC SPACES WITH IMPLICIT RELATIONS

In this paper, we give some fixed point theorems on fuzzy metric spaces with an implicit relation. Our results extend and generalize some fixed point theorems on complete fuzzy metric spaces by using a new technique.

Ordered Non-Archimedean Fuzzy Metric Spaces and Some Fixed Point Results

In the present paper we provide two different kinds of fixed point theorems on ordered nonArchimedean fuzzy metric spaces. First, two fixed point theorems are proved for fuzzy order -contractive type mappings. Then a common fixed point theorem is given for noncontractive type mappings. Kirks problem on an extension of Caristis theorem is also discussed.

ON COMPATIBLE MAPPINGS OF TYPE (I) AND (II) IN INTUITIONISTIC FUZZY METRIC SPACES

In this paper, we give some new definitions of compatible mappings in intuitionistic fuzzy metric spaces and we prove a common fixed point theorem for four mappings under the condition of compatible mappings of type (I) and of type (II) in complete intuitionistic fuzzy metric spaces.

Some new generalizations of Mizoguchi-Takahashi type fixed point theorem

In the light of the paper of Hasanzade Asl et al. (Fixed Point Theory Appl. 2012:212, 2012, doi:10.1186/1687-1812-2012-212), we obtain a fixed point theorem for multivalued mappings on a complete metric space. Our result is a generalized version of some results in the literature, including the famous result of Mizoguchi-Takahashi (J. Math. Anal. Appl. 141:177-188, 1989). Also, we give some examples to illustrate our result.MSC:54H25, 47H10.

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

In 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.