A note on fixed point theory for cyclic φ-contractions

Fixed point theory for cyclic $varphi$-contractions in fuzzy metric spaces

In this paper, the notion of cyclic $varphi$-contraction in fuzzymetric spaces is introduced and a fixed point theorem for this typeof mapping is established. Meantime, an example is provided toillustrate this theorem. The main result shows that a self-mappingon a G-complete fuzzy metric space has a unique fixed point if itsatisfies the cyclic $varphi$-contraction. Afterwards, some results inco...

Fixed point theorems for φ-contractions

*Correspondence: [email protected] 1School of Natural Sciences, National University of Sciences and Technology, H-12, Islamabad, Pakistan Full list of author information is available at the end of the article Abstract This paper deals with the fixed point theorems for mappings satisfying a contractive condition involving a gauge function φ when the underlying set is endowed with a b-met...

A note on the paper ‘Fixed point theorems for cyclic weak contractions in compact metric spaces’

Fixed Point Theorems for Cyclic Φ-contractions in Ordered Metric Spaces

The purpose of this paper is to present some fixed point results for cyclic φ-contractions in a complete metric space endowed with a partial order.

Common Fixed Point and Approximation Results for Generalized Φ-contractions

We establish common fixed point theorems for weakly compatible generalized φcontractions. 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.