RECENT FIXED POINT THEOREMS FOR T-CONTRACTIVE MAPPINGS AND T-WEAK (ALMOST) CONTRACTIONS IN METRIC AND CONE METRIC SPACES ARE NOT REAL GENERALIZATIONS

TADESSE  BEKESHIE; G.A  NAIDU

RECENT FIXED POINT THEOREMS FOR T-CONTRACTIVE MAPPINGS AND T-WEAK (ALMOST) CONTRACTIONS IN METRIC AND CONE METRIC SPACES ARE NOT REAL GENERALIZATIONS

Authors

TADESSE BEKESHIE Department of Mathematics,Addis Ababa University, Addis Ababa, Ethiopia
G.A NAIDU Department of Mathematics,Andhra University, Visakhapatnam, India

Keywords:

Fixed point theorem, T-contraction, T-contractive mapping, T-Kannan mapping, TCaterjea mapping, T−Zamfirescu mapping, T−weak contraction, Cone metric space

Abstract

The purpose of this research article is to show that recent fixed point theorems obtained in metric and cone metric spaces for T-contractive mappings and TW-contractions are equivalent to previously existing theorems in the literature; hence are redundant. We also show that Proposition 2.5 of [4] is invalid.