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Let X be a linear space. A p-norm on X is a real-valued function on X with 0 < p ≤ 1, satisfying the following conditions: (i) ‖x‖p ≥ 0 and ‖x‖p = 0⇔ x = 0, (ii) ‖αx‖p = |α|p‖x‖p, (iii) ‖x+ y‖p ≤ ‖x‖p +‖y‖p for all x, y ∈ X and all scalars α. The pair (X ,‖,‖p) is called a p-normed space. It is a metric linear space with a translation invariant metric dp(More)
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 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)