Fixed point for completely norm space and map Tɑ

Mohsenalhosseini, S. A. M.; Mazaheri, H.

doi:10.5937/matmor1202025m

Cited by 2 publications

(3 citation statements)

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“…Remark 2.5. [12] In this paper we will denote the set of all ε− fixed points of T , for a given ε, by :…”

Section: Preliminariesmentioning

confidence: 99%

“…In 2011, Mohsenalhosseini et al [11], introduced the approximate best proximity pairs and proved the approximate best proximity pairs property for it. Also, In 2012 , Mohsenalhosseini et al [12], introduced the approximate fixed point for completely norm space and map T α and proved the approximate fixed point property for it. In 2014 , Mohsenalhosseini [13] introduced the Approximate best proximity pairs on metric space for contraction maps.…”

Section: Introductionmentioning

confidence: 99%

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Approximate fixed point theorems of cyclical contraction mapping on G-metric spaces

Mohsenialhosseini¹

2020

Preprint

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In this paper, we will first introduce a new class of operators and contraction mapping for a cyclical map T on Gmetric spaces and the approximate fixed point property. Also, we prove two general lemmas regarding approximate fixed Point of cyclical contraction mapping on G-metric spaces. Using these results we prove several approximate fixed point theorems for a new class of operators such as Chatterjeat, Zamfirescu, Mohseni, Mohsenialhosseini on G-metric spaces (not necessarily complete). These results can be exploited to establish new approximate fixed point theorems for cyclical contraction maps on G-metric space. In addition, there is a new class of cyclical operators and contraction mapping on G-metric space (not necessarily complete) which do not need to be continuous. Finally, examples are given to support the usability of our results.

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“…Remark 2.5. [12] In this paper we will denote the set of all ε− fixed points of T , for a given ε, by :…”

Section: Preliminariesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Approximate fixed point theorems of cyclical contraction mapping on G-metric spaces

Mohsenialhosseini¹

2020

Preprint

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show abstract

“…Also, In 2012 , Mohsenalhosseini et al [7], introduced the approximate fixed point for completely norm space and map T α and proved the approximate fixed point property for it. In 2014 , Mohsenalhosseini [8] introduced the Approximate best proximity pairs on metric space for contraction maps.…”

Section: Introductionmentioning

confidence: 99%

Approximate fixed point theorems of cyclical contraction mapping

Mohsenialhosseini¹

2017

Math Morav

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Abstract. Let Xi; i = 1, ..., m are subsets of a metric space X and alsoThe existence results regarding approximate fixed points proved for the several operators such as Chatterjea and Zamfirescu on metric space (not necessarily complete). These results can be exploited to establish new approximate fixed point theorems for cyclical contraction maps. In addition, there is a new class of cyclical operators and contraction mapping on metric space (not necessarily complete) which do not need to be continuous. Finally, some examples are presented to illustrate our results for new approximate fixed point theorems on cyclical contraction maps.

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Fixed point for completely norm space and map Tɑ

Abstract: Abstract. We consider completely norm space X, and define ε−fixed point for Tα maps, and obtain some sufficient and necessary conditions on that, we also obtain some sufficient and necessary theorems on ε−fixed point for two maps.

Cited by 2 publications

References 5 publications

Approximate fixed point theorems of cyclical contraction mapping on G-metric spaces

Approximate fixed point theorems of cyclical contraction mapping on G-metric spaces

Approximate fixed point theorems of cyclical contraction mapping

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