Fixed point theorem for Fw-contractions in complete metric spaces

Batra, Rakesh; Vashistha, Sachin

doi:10.5899/2013/jnaa-00211

Cited by 6 publications

(5 citation statements)

References 4 publications

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“…The reader interested in fixed points results obtained employing the concept of F-contraction is referred to [19][20][21][22][23][24][25][26][27][28][29][30][31]. In this paper, we proved that some of the conditions in Theorems 2-4 are superfluous.…”

Section: Remarkmentioning

confidence: 98%

Two Fixed Point Theorems Concerning F-Contraction in Complete Metric Spaces

Popescu

Stan

2019

Symmetry

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Section: Remarkmentioning

confidence: 98%

Two Fixed Point Theorems Concerning F-Contraction in Complete Metric Spaces

Popescu

Stan

2019

Symmetry

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“…We prove a coincidence point result for an F -g-contraction. For more study on Fcontractions one may refer to [3,4,[7][8][9][10] and on coincidence points to [1,2,5,6].…”

Section: Introductionmentioning

confidence: 99%

Coincidence point theorem for a new type of contraction on metric spaces

Batra¹,

Vashistha²,

Kumar³

2014

ijma

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“…Otherwise, for the other cases of the same or similar questions, one can see, for example, Refs. [18][19][20][21][22][23][24][25][26][27][28][29][30] for further generalizations.…”

Section: Theorem 2 ([6]mentioning

confidence: 99%

Remarks on “Perov Fixed-Point Results on F-Contraction Mappings Equipped with Binary Relation”

Mitrovic

Fabiano

Radojević

et al. 2023

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Since 1964, when I.A. Perov introduced the so-called generalized metric space where d(x,y) is an element of the vector space Rm, many researchers have considered various contractive conditions in this type of space. In this paper, we generalize, extend and unify some of those established results. We are primarily concerned with examining the existence of a fixed point of some mapping from X to itself, but if (x,y) belongs to some relation R on the set X, then the binary relation R and some F contraction defined on the space cone Rm are combined. We start our consideration with the recently announced results and give them strict, critical remarks. In addition, we improve several announced results by weakening some of the given conditions.

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Fixed point theorem for Fw-contractions in complete metric spaces

Cited by 6 publications

References 4 publications

Two Fixed Point Theorems Concerning F-Contraction in Complete Metric Spaces

Two Fixed Point Theorems Concerning F-Contraction in Complete Metric Spaces

Coincidence point theorem for a new type of contraction on metric spaces

Remarks on “Perov Fixed-Point Results on F-Contraction Mappings Equipped with Binary Relation”

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