Common fixed points under contractive conditions in cone metric spaces

Common Fixed Points of Generalized Contractive Maps in Cone Metric Spaces

A Unique Common Fixed Point Theorem for Four Maps under Contractive Conditions in Cone Metric Spaces

In this paper, we prove existence of coincidence points and a common fixed point theorem for four maps under contractive conditions in cone metric spaces for non continuous mappings and relaxation of completeness in the space. These results extend and improve several well known comparable results in the existing literature. Mathematics Subject Classification: 47H10, 54H25.

Fixed and common fixed points for $(psi,varphi)$-weakly contractive mappings in $b$-metric spaces

In this paper, we give a fixed point theorem for $(psi,varphi)$-weakly contractive mappings in complete $b$-metric spaces. We also give a common fixed point theorem for such mappings in complete $b$-metric spaces via altering functions. The given results generalize two known results in the setting of metric spaces. Two examples are given to verify the given results.

common fixed points of generalized contractive maps in cone metric spaces

Common fixed points of generalized contractive multivalued mappings in cone metric spaces

In this paper we obtain some sufficient conditions for the existence of common fixed points of multivalued mappings satisfying generalized contractive conditions in non normal cone metric spaces. These results establish some of the most general common fixed point theorems for two multivalued maps in cone metric spaces. AMS subject classifications: 47H10, 54H25, 54C60, 46B40