A novel three-step implicit iteration process for three finite family of asymptotically generalized Φ-hemicontractive mapping in the intermediate sense

Okeke, Godwin Amechi; Ofem, Austine Efut

doi:10.1007/s11766-023-4228-4

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2023

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“…Due to its simplicity and wide range of applications, this result was generalized in various ways. See, for example, book [2] and recent papers [3][4][5][6]. Definition 1.…”

Section: Introductionmentioning

confidence: 99%

Fixed Points and λ-Weak Contractions

Manolescu

Juratoni

2023

Symmetry

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In this paper, we introduce a new type of contractions on a metric space (X,d) in which the distance d(x,y) is replaced with a function, depending on a parameter λ, that is not symmetric in general. This function generalizes the usual case when λ=1/2 and can take bigger values than m1/2. We call these new types of contractions λ-weak contractions and we provide some of their properties. Moreover, we investigate cases when these contractions are Picard operators.

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“…Due to its simplicity and wide range of applications, this result was generalized in various ways. See, for example, book [2] and recent papers [3][4][5][6]. Definition 1.…”

Section: Introductionmentioning

confidence: 99%

Fixed Points and λ-Weak Contractions

Manolescu

Juratoni

2023

Symmetry

View full text Add to dashboard Cite

show abstract

A novel three-step implicit iteration process for three finite family of asymptotically generalized Φ-hemicontractive mapping in the intermediate sense

Cited by 1 publication

References 20 publications

Fixed Points and λ-Weak Contractions

Fixed Points and λ-Weak Contractions

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