A coincidence point theorem for sequentially continuous mappings

Common fixed point theorem for nonexpansive type single valued mappings

The aim of this paper is to prove a common fixed point theorem for nonexpansive type single valued mappings which include both continuous and discontinuous mappings by relaxing the condition of continuity by weak reciprocally continuous mapping. Our result is generalize and extends the corresponding result of Jhade et al. [P.K. Jhade, A.S. Saluja and R. Kushwah, Coincidence and fixed points of ...

Sequentially Continuous Linear Mappings in Constructive Analysis

A COMMON FIXED POINT THEOREM FOR SIX WEAKLY COMPATIBLE MAPPINGS IN M-FUZZY METRIC SPACES

In this paper, we give some new definitions of M-fuzzy metric spaces and we prove a common fixed point theorem for six mappings under the condition of weakly compatible mappings in complete M-fuzzy metric spaces.

Cdmtcs Research Report Series Sequentially Continuous Linear Mappings in Constructive Analysis Sequentially Continuous Linear Mappings in Constructive Analysis

Constructive Proof of Brouwer’s Fixed Point Theorem for Sequentially Locally Non-constant and Uniformly Sequentially Continuous Functions

We present a constructive proof of Brouwer’s fixed point theorem for sequentially locally non-constant and uniformly sequentially continuous functions based on the existence of approximate fixed points. And we will show that our Brouwer’s fixed point theorem implies Sperner’s lemma for a simplex. Since the existence of approximate fixed points is derived from Sperner’s lemma, our Brouwer’s fixe...