Fixed point theorems in topological spaces

COMMON COUPLED FIXED POINT THEOREMS IN d-COMPLETE TOPOLOGICAL SPACES

In this paper, we give two unique common coupled fixed point theorems for mappings satisfying a generalized condition in d-complete topological spaces. 1 Department of Applied Mathematics, Acharya Nagarjuna University-Dr.M.R.Appa Row Campus, Nuzvid-521 201,Andhra Pradesh,India E-mail address: [email protected],[email protected] 2 Department of Mathematics, Atilim University 06836, İncek, Anka...

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...

Some New Fixed Point Theorems in Fuzzy Metric Spaces

Motivated by Samet et al. [Nonlinear Anal., 75(4) (2012), 2154-2165], we introduce the notions of $alpha$-$phi$-fuzzy contractive mapping and $beta$-$psi$-fuzzy contractive mapping and prove two theorems which ensure the existence and uniqueness of a fixed point for these two types of mappings. The presented theorems extend, generalize and improve the corresponding results given in the literature.

Common fixed point theorems in Menger spaces

Probabilistic metric space was first introduced by Menger [6]. Later, there are many authors who have some detailed discussions and applications of a probabilistic metric space, for example, we may see Schweizer and Sklar [8]. Besides, there are many results about fixed point theorems in a probabilistic metric space with contractive types having appeared; we may see the papers [1–3, 9–12]. In t...