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20112021
most citedQuartet fixed point for nonlinear contraction

33 citations · 33 across the 6 of their papers we have counts for

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6 papers

math.GM2021

Fuzzy ample spectrum contractions in (more general than) non-Archimedean fuzzy metric spaces

Antonio Francisco Roldán López de Hierro, Erdal Karapınar, Naseer Shahzad

Taking into account that Roldán et al.'s ample spectrum contractions have managed to extend and unify more than ten distinct families of contractive mappings in the setting of metr…

math.MG2015

Some consequences of Caristi's fixed point theorem, partial answers to some known open problems and its applications

Farshid Khojasteh, Erdal Karapinar, Hassan Khandani

In this paper, we show that several extension of Banach contraction principle, can be easily derived from the Caristi's theorem is one of the useful generalization of Banach contra…

math.OC2015

Some applications of Caristi's fixed point theorem in metric space

Farshid Khojasteh, Erdal Karapinar, Hasan Khandani

In this work, partial answers to Reich, Mizoguchi and Takahashi, and Amini-Harandi's conjectures are presented via a light version of Caristi's fixed point theorem. Moreover, we in…

math.FA2011

θ-metric spaces: A generalization

Farshid Khojasteh, Erdal Karapinar, Stojan Randenovic

In this paper, using a more generalized inequality instead of triangle inequality, the notion of θ-metric space is introduced. Some important properties of induced topology by such…

math.GN2011★ 33 cited

Quartet fixed point for nonlinear contraction

Erdal Karapinar

The notion of coupled fixed point is introduced in by Bhaskar and Lakshmikantham in [2]. Very recently, the concept of tripled fixed point is introduced by Berinde and Borcut [1].…

math.FA2011

A gap in the paper "A note on cone metric fixed point theory and its equivalence" [Nonlinear Anal. 72(5), (2010), 2259-2261]

Thabet Abdeljawad, Erdal Karapınar

There is a gap in Theorem 2.2 of the paper of Du (\cite{D_2010}). In this paper, we shall state the gap and repair it.