Fixed Point Theorems for Generalized Set-Valued Weak θ-Contractions in Complete Metric Spaces

Some new fixed point theorems for set-valued contractions in complete metric spaces

Correspondence: [email protected]. edu.tw Department of Applied Mathematics, National Hsinchu University of Education, Taiwan Abstract In this article, we obtain some new fixed point theorems for set-valued contractions in complete metric spaces. Our results generalize or improve many recent fixed point theorems in the literature. MSC: 47H10, 54C60, 54H25, 55M20.

Fixed Point Theorems For Weak Contractions in Dualistic Partial Metric Spaces

In this paper, we describe some topological properties of dualistic partial metric spaces and establish some fixed point theorems for weak contraction mappings of rational type defined on dual partial metric spaces. These results are generalizations of some existing results in the literature. Moreover, we present examples to illustrate our result.

Some Fixed Point Theorems for Generalized Contractions in Metric Spaces with a Graph

Jachymski [ Proc. Amer. Math. Soc., 136 (2008), 1359-1373] gave modified version of a Banach fixed point theorem on a metric space endowed with a graph. In the present paper, (G, Φ)-graphic contractions have been de ned by using a comparison function and studied the existence of fixed points. Also, Hardy-Rogers G-contraction have been introduced and some fixed point theorems have been proved. S...

Generalized multivalued $F$-weak contractions on complete metric spaces

In this paper,  we introduce the notion of  generalized multivalued  $F$- weak contraction and we prove some fixed point theorems related to introduced  contraction for multivalued mapping in complete metric spaces.  Our results extend and improve the results announced by many others with less hypothesis. Also, we give some illustrative examples.

Common Fixed-Point Theorems in Complete Generalized Metric Spaces