A fixed point theorem for contractions in modular metric spaces

Details A fixed point theorem for contractions in modular metric spaces A fixed point theorem for contractions in modular metric spaces

2011-12-23

arxiv.org/abs/1112.5561v1

Mathematics

Functional Analysis

31 pages, LaTeX, uses elsarticle.sty

Scientific paper

The notion of a (metric) modular on an arbitrary set and the corresponding modular space, more general than a metric space, were introduced and studied recently by the author [V. V. Chistyakov, Metric modulars and their application, Dokl. Math. 73(1) (2006) 32-35, and Modular metric spaces, I: Basic concepts, Nonlinear Anal. 72(1) (2010) 1-14]. In this paper we establish a fixed point theorem for contractive maps in modular spaces. It is related to contracting rather ``generalized average velocities'' than metric distances, and the successive approximations of fixed points converge to the fixed points in a weaker sense as compared to the metric convergence.

Affiliated with

Also associated with

No associations

Rating

A fixed point theorem for contractions in modular metric spaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A fixed point theorem for contractions in modular metric spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A fixed point theorem for contractions in modular metric spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-192302