We establish common fixed point theorems for weakly compatible generalized φ-contractions. As applications, various common fixed point and best approximation results for Cq-commuting and compatible maps are derived. Our results unify, extend and complement various known results existing in the literature. Acknowledgement. The authors would like to thank the… (More)
The main purpose of the paper is to give error estimates for two important fixed point theorems involving quasi contractive type operators.
The aim of this paper is to extend the Kannan fixed point theorem from single-valued self mappings The obtained tripled fixed point theorems extend and unify several related results in literature. Acknowledgements. The paper has been finalized during the visit of the first two authors to Department of Mathematics , Universita di Roma Tre. They gratefully… (More)
In this paper we present a very general class of weakly Picard mappings. The fixed point theorems thus obtained are generalizations of the well-known contraction mapping principle for single-valued mappings and of several of its subsequent generalizations, as well as of the well-known Nadler's fixed point theorem for multi-valued mappings and of many of its… (More)