A minimax inequality and its applications to fixed point theorems in CAT(0) spaces

A minimax inequality and its applications to fixed point theorems in CAT(0) spaces

* Correspondence: [email protected] Department of Mathematics and Computer Science, Amirkabir University of Technology, Hafez Ave., P.O. Box 15875-4413, Tehran, Iran Abstract In this paper, a CAT(0) version of famous Fan’s minimax inequality is established and as its application, we obtain some fixed point theorems and best approximation theorems in CAT(0) spaces. 2000 Mathematics Subject Classifi...

Coupled common fixed point theorems for $varphi$-contractions in probabilistic metric spaces and applications

In this paper, we give some new coupled common  fixed point theorems for probabilistic $varphi$-contractions  in Menger probabilistic metric spaces.  As applications of the main results, we obtain some coupled common fixed point theorems in usual metric spaces and fuzzy metric spaces. The main results of this paper improvethe corresponding results given by some authors. Finally, we give one exa...

Common fixed point theorems for occasionally weakly compatible mappings in Menger spaces and applications

In 2008, Al-Thaga and Shahzad [Generalized I-nonexpansive self-maps and invariant approximations, Acta Math. Sinica 24(5) (2008), 867{876]introduced the notion of occasionally weakly compatible mappings (shortly owcmaps) which is more general than all the commutativity concepts. In the presentpaper, we prove common xed point theorems for families of owc maps in Mengerspaces. As applications to ...

Common Fixed Point Theorems of Integral Type in Modular Spaces

COMMON FIXED POINT THEOREMS IN MODIFIED INTUITIONISTIC FUZZY METRIC SPACES

In this paper, we introduce a new class of implicit functions and also common property (E.A) in modified intuitionistic fuzzy metric spaces and utilize the same to prove some common fixed point theorems in modified intuitionistic fuzzy metric spaces besides discussing related results and illustrative examples. We are not aware of any paper dealing with such implicit functions in modified intuit...