Meir–Keeler type contractions on JS-metric spaces and related fixed point theorems

Karapınar, Erdal; Samet, Bessem; Zhang, Dong

doi:10.1007/s11784-018-0544-3

Cited by 12 publications

(4 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In 2015, Jleli and Samet [14] introduced a new generalization of metric space that also recovers dislocated metric spaces [15], b-metric spaces [16], and modular metric spaces with Fatou property [17,18]. Since then, fixed point theory has been widely studied in this new framework, and the reader may refer to [19][20][21][22].…”

Section: Introductionmentioning

confidence: 99%

Convergence of Mann and Ishikawa Iterative Processes for Some Contractions in Convex Generalized Metric Space

Kouch

Mouline

2022

Abstract and Applied Analysis

View full text Add to dashboard Cite

show abstract

Section: Introductionmentioning

confidence: 99%

Convergence of Mann and Ishikawa Iterative Processes for Some Contractions in Convex Generalized Metric Space

Kouch

Mouline

2022

Abstract and Applied Analysis

View full text Add to dashboard Cite

show abstract

“…In 2013, Patel et al [12] established some CFP theorems for three and four self-mappings satisfying generalized Meir-Keeler α-contraction in metric spaces. Some generalizations of Meir-Keeler contraction in the framework of different types of spaces have also been reported, see [13][14][15][16]. Recently, Sk et al [17] introduced the Meir-Keeler contraction in relation-theoretic sense and extended relation-theoretic contraction principle to relation-theoretic Meir-Keeler contraction principle.…”

Section: Introductionmentioning

confidence: 99%

Relational Meir-Keeler Contractions and Common Fixed Point Theorems

Khan

Alshehri

et al. 2022

Journal of Function Spaces

View full text Add to dashboard Cite

In this article, we prove some coincidence and common fixed point theorems under the relation-theoretic Meir-Keeler contractions in a metric space endowed with a locally finitely T -transitive binary relation. Our newly proved results generalize, extend, and sharpen some existing coincidence point as well as fixed point theorems existing in the literature. Moreover, we give some examples to affirm the efficacy of our results.

show abstract

“…It generalizes well-known concepts of metric structures like metric spaces, bmetric spaces [5], metric -like spaces [6], etc. There are many articles which are worked on these spaces, like [7]- [10].…”

Section: Introductionmentioning

confidence: 99%

Some Results on Fixed Points Related to φ- ψ Functions in JS – Generalized Metric Spaces

Sila¹,

Duraj²,

Hoxha³

2021

Adv. sci. technol. eng. syst. j.

View full text Add to dashboard Cite

In this paper are shown some new results on fixed point related to a -ψ contractive map in JSgeneralized metric spaces X. It proves that there exists a unique fixed point for a nonlinear map : → , using two altering distance functions. Furthermore, it gives some results which related to a couple of functions under some conditions in JSgeneralized metric spaces. It provides a theorem where is shown that two maps , : → under a nonlinear contraction using ultra -altering distance functions ψ and φ, which are lower semicontinuous and continuous, respectively, have a coincidence point that is unique in X. In addition, there is proved if the maps and are weakly compatible then they have a fixed point which is unique in JSgeneralized metric space. As applications, every theorem is illustrated by an example. The obtained theorems and corollaries extend some important results which are given in the references.

show abstract

Meir–Keeler type contractions on JS-metric spaces and related fixed point theorems

Cited by 12 publications

References 17 publications

Convergence of Mann and Ishikawa Iterative Processes for Some Contractions in Convex Generalized Metric Space

Convergence of Mann and Ishikawa Iterative Processes for Some Contractions in Convex Generalized Metric Space

Relational Meir-Keeler Contractions and Common Fixed Point Theorems

Some Results on Fixed Points Related to φ- ψ Functions in JS – Generalized Metric Spaces

Contact Info

Product

Resources

About