Fixed Point Theorems in Complete Metric
نویسندگان
چکیده
In this paper, we prove several fixed point theorems, which are generalizations of the Banach contraction principle and Kannan’s fixed point theorem. Further we discuss a characterization of metric completeness.
منابع مشابه
Fixed Point Theorems on Complete Quasi Metric Spaces Via C-class and A-Class Functions
In this paper, we present some fixed point theorems for single valued mappings on $K$-complete, $M$-complete and Symth complete quasi metric spaces. Here, for contractive condition, we consider some altering distance functions together with functions belonging to $C$-class and $A$-class. At the same time, we will consider two different type $M$ functions in contractive conditions because the qu...
متن کاملA generalization of Kannan and Chatterjea fixed point theorems on complete $b$-metric spaces
In this paper, we give some results on the common fixed point of self-mappings defined on complete $b$-metric spaces. Our results generalize Kannan and Chatterjea fixed point theorems on complete $b$-metric spaces. In particular, we show that two self-mappings satisfying a contraction type inequality have a unique common fixed point. We also give some examples to illustrate the given results.
متن کاملFixed Point Theorems for kg- Contractive Mappings in a Complete Strong Fuzzy Metric Space
In this paper, we introduce a new class of contractive mappings in a fuzzy metric space and we present fixed point results for this class of maps.
متن کاملOn the fixed point theorems in generalized weakly contractive mappings on partial metric spaces
In this paper, we prove a fixed point theorem for a pair of generalized weakly contractive mappings in complete partial metric spaces. The theorems presented are generalizations of very recent fixed point theorems due to Abdeljawad, Karapinar and Tas. To emphasize the very general nature of these results, we illustrate an example.
متن کامل