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Hardy-Rogers-type fixed point theorems for $α$ - $G F$ -contractions

Muhammad Arshad; Eskandar Ameer; Aftab Hussain — 2015

Archivum Mathematicum

The aim of this paper is to introduce some new fixed point results of Hardy-Rogers-type for $α$ - $η$ - $G F$ -contraction in a complete metric space. We extend the concept of $F$ -contraction into an $α$ - $η$ - $G F$ -contraction of Hardy-Rogers-type. An example has been constructed to demonstrate the novelty of our results.

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Hardy-Rogers-type fixed point theorems for α - G F -contractions

Hardy-Rogers-type fixed point theorems for $α$ - $G F$ -contractions