Abstract convexity and generalizations of Himmelberg type fixed-point theorems

Simultaneous generalizations of known fixed point theorems for a Meir-Keeler type condition with applications

In this paper, we first establish a new fixed point theorem for a Meir-Keeler type condition. As an application, we derive a simultaneous generalization of Banach contraction principle, Kannan's fixed point theorem, Chatterjea's fixed point theorem and other fixed point theorems. Some new fixed point theorems are also obtained.

Common Fixed Point Theorems of Integral Type in Modular Spaces

Edelstein Type Fixed Point Theorems

Recently, Suzuki [Nonlinear Anal. 71 (2009), no. 11, 5313–5317.] published a paper on which Edelstein’s fixed theorem was generalized. In this manuscript, we give some theorems which are the generalization of the fixed theorem of Suzuki’s Theorems and thus Edelstein’s result [J. London Math. Soc. 37 (1962), 74-79].

Some Generalizations of Fixed Point Theorems in Cone Metric Spaces

We generalize, extend, and improve some recent fixed point results in conemetric spaces including the results of H. Guang and Z. Xian 2007 ; P. Vetro 2007 ; M. Abbas and G. Jungck 2008 ; Sh. Rezapour and R. Hamlbarani 2008 . In all our results, the normality assumption, which is a characteristic of most of the previous results, is dispensed. Consequently, the results generalize several fixed re...

Generalizations of -Fixed Point Theorems in Partial Metric Spaces

We consider the dualistic partial metric spaces on a set X, and we give necessary conditions for existence of fixed point and −fixed point for some maps. AMS Subject Classification: 54H25; 54E50; 54E99; 68Q55