<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>L</mml:mi></mml:mrow></mml:math>-Fuzzy Fixed Points Theorems for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:mrow><mml:mi>L</mml:mi></mml:mrow></mml:math>-Fuzzy Mappings via<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M3"><mml:mrow><mml:msub><mml:mrow><mml:mi>β</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>ℱ</mml:mi></mml:mrow><mml:mrow><mml:mi>L</mml:mi></mml:mrow></mml:ms

Rashid, Maliha; Azam, Akbar; Mehmood, Nayyar

doi:10.1155/2014/853032

Cited by 14 publications

(9 citation statements)

References 22 publications

(11 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The object of our paper is to reduce the completeness of the whole space by completeness of subspace (joint orbitally complete) in b-metric spaces. Our results generalize and improve corresponding results of [3,4,14,19] and others. Definition 1.1 ([1]).…”

Section: Introductionsupporting

confidence: 91%

See 1 more Smart Citation

COMMON FIXED POINT THEOREMS FOR L-FUZZY MAPPINGS IN b-METRIC SPACES

Ali¹,

Ahmed²,

Nafadi³

2017

Journal of applied mathematics & informatics

View full text Add to dashboard Cite

show abstract

Section: Introductionsupporting

confidence: 91%

“…In 1967, Goguen [9] introduced the notion of L-Fuzzy sets as a generalization of fuzzy sets. Recently, Rashid et al [19] established the existence of common L-fuzzy fixed point in complete metric spaces.…”

Section: Introductionmentioning

confidence: 99%

COMMON FIXED POINT THEOREMS FOR L-FUZZY MAPPINGS IN b-METRIC SPACES

Ali¹,

Ahmed²,

Nafadi³

2017

Journal of applied mathematics & informatics

View full text Add to dashboard Cite

show abstract

“…Several mathematicians [4][5][6][7][8][9][10][11][12] extended the work of Estruch et al [3] in different metric spaces under generalized contractions. In 2014, Rashid et al [13] introduced the notion of β-admissible for a pair of fuzzy mappings by utilizing the concept of β-admissible, which was first given by Samet et al [14] in 2012.…”

Section: Introductionmentioning

confidence: 99%

Common α-Fuzzy Fixed Point Results for F-Contractions with Applications

2021

View full text Add to dashboard Cite

F-contractions have inspired a branch of metric fixed point theory committed to the generalization of the classical Banach contraction principle. The study of these contractions and α-fuzzy mappings in b-metric spaces was attempted timidly and was not successful. In this article, the main objective is to obtain common α-fuzzy fixed point results for F-contractions in b-metric spaces. Some multivalued fixed point results in the literature are derived as consequences of our main results. We also provide a non-trivial example to show the validity of our results. As applications, we investigate the solution for fuzzy initial value problems in the context of a generalized Hukuhara derivative. Our results generalize, improve and complement several developments from the existing literature.

show abstract

“…Goguen [9] gave the notion of L -fuzzy sets as a further generalization of fuzzy sets. Recently, Rashid et al [13] obtained fixed point theorems for L -fuzzy mappings on metric spaces and Beg et al [5] extended these results to the framework of fuzzy metric spaces.…”

Section: Introductionmentioning

confidence: 99%