Common fixed points for faintly compatible mappings

Chandra, Naresh; Joshi, C Mahesh; Singh, Kulvir

doi:10.5937/matmor1702051c

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Cited by 4 publications

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“…Jungck further weakened the notion of compatibility by introducing the notion of weak compatibility [9]. Over the last two decades, several authors have proved common fixed point theorems for a pair of mappings under different contractive conditions using compatibility and its weaker versions (see [1,3,5,14,15,19] and references therein).…”

Section: Introductionmentioning

confidence: 99%

Some common fixed point theorems for contractive maps and applications

Joshi¹,

Padaliya²,

Pandey³

2018

Filomat

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The aim of this paper is to obtain some new fixed point theorems for single valued mappings and also for hybrid pair of mappings. Our results extend and generalize well known results due to Aamri and El Moutawakil, Sintunavarat and Kumam, Kadelburg et al., and Kamran; and also generalize and rectify some recent results due to Bisht [On Existence of common fixed points under Lipschitz-Type Mapping pairs with Applications, Numer.

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Section: Introductionmentioning

confidence: 99%

Some common fixed point theorems for contractive maps and applications

Joshi¹,

Padaliya²,

Pandey³

2018

Filomat

View full text Add to dashboard Cite

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Some common fixed point theorems on partial metric spaces satisfying implicit relation

Saluja¹

2020

Mathematica Moravica

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Fixed points for occasionally weakly biased mappings of type (A)

Bouhadjera¹

2022

Mathematica Moravica

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In this paper, in the first step, we will introduce the concept of occasionally weakly biased mappings of type (A) which is a convenient generalization of the concept of weakly biased mappings of type (A). In the second step, we will show that this new definition coincides with our concept of occasionally weakly biased mappings given in [8]. In the third and last step we will give an example which verifies the validity of our result.

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Common fixed points for faintly compatible mappings

Abstract: Abstract. In this paper, we obtain a generalized common fixed point theorem for four mappings using the conditions of non-compatibility and faint compatibility.

Cited by 4 publications

References 6 publications

Some common fixed point theorems for contractive maps and applications

Some common fixed point theorems for contractive maps and applications

Some common fixed point theorems on partial metric spaces satisfying implicit relation

Fixed points for occasionally weakly biased mappings of type (A)

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