Bhaskar-Guo-Lakshmikantam-Ćirić type results via new functions with applications to integral equations

Radenović, Stojan; Zoto, Kastriot; Dedović, Nebojša; Šešum-Čavić, Vesna; Ansari, Arslan Hojat

doi:10.1016/j.amc.2019.03.057

Cited by 14 publications

(11 citation statements)

References 17 publications

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“…Since then, several papers have been published on the fixed point theory of both classes of single-valued and multi-valued operators in (b-ms). [11], [12], [13][14][15][16]. In particular, if e = r, then lim n→∞ ν b (e n , r n ) = 0.…”

Section: Introduction and Elementary Discussionmentioning

confidence: 99%

Coupled Coincidence Point for f(ψ, ϕ)−Contractions via Generalized α−Admissible Mappings with an Application

Albaqeri¹,

Hammad²,

Sen³

2020

ijaa

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Section: Introduction and Elementary Discussionmentioning

confidence: 99%

Coupled Coincidence Point for f(ψ, ϕ)−Contractions via Generalized α−Admissible Mappings with an Application

Albaqeri¹,

Hammad²,

Sen³

2020

ijaa

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“…Definition 1.6. [45] A continuous mapping F : R + × R + → R is called a C-class function if it satisfies the following two properties:…”

Section: Notementioning

confidence: 99%

“…However, in this article, we aim to focus our study on α-admissible mapping to generalize some significant fixed point theory results through C-class function. Again, the concept of the C-class functions proposed by Ansari (2014), contained a large class of contractions (see [12], [16], [45]). In recent times many interesting results related to fixed point theory have been established (see for example [5], [15], [22], [25], [26], [31], [33], [40], [41], [43], [46], [47], [51]).…”

Section: Introductionmentioning

confidence: 99%

An extension of Karapinar and Sadaranganis’ result through the C-class functions by using α-admissible mapping with applications

Ghosh

Nahak

2021

Filomat

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The main objective of this work is to introduce a new type of non-linear contraction via C-class functions by using ?-admissible mapping. Our new results extend and generalize the very recent results of Karapinar and Sadarangani (2015. RACSAM. [37]). Illustrative examples are given to support our new findings. We have shown that our results satisfy the periodic fixed point results after modifying the contraction. Next, we extend our main findings from a self-mapping T to two self-mappings T; S. Also, an example is provided to justify the effectiveness of our new result on two self mappings, where the partially ordered structure fails. Finally, we apply our new findings to solve ordinary differential and non-linear integral equations.

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“…Some noteworthy efforts done on this concept can be seen in [12][13][14][15][16][17]. Starting from these results, we aim to make a methodical study of fixed point theorem in fuzzy metric spaces endowed with a graph.…”

Section: Introductionmentioning

confidence: 99%

Some Fixed Point Results of Weak-Fuzzy Graphical Contraction Mappings with Application to Integral Equations

et al. 2021

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The present paper aims to introduce the concept of weak-fuzzy contraction mappings in the graph structure within the context of fuzzy cone metric spaces. We prove some fixed point results endowed with a graph using weak-fuzzy contractions. By relaxing the continuity condition of mappings involved, our results enrich and generalize some well-known results in fixed point theory. With the help of new lemmas, our proofs are straight forward. We furnish the validity of our findings with appropriate examples. This approach is completely new and will be beneficial for the future aspects of the related study. We provide an application of integral equations to illustrate the usability of our theory.

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Bhaskar-Guo-Lakshmikantam-Ćirić type results via new functions with applications to integral equations

Cited by 14 publications

References 17 publications

Coupled Coincidence Point for f(ψ, ϕ)−Contractions via Generalized α−Admissible Mappings with an Application

Coupled Coincidence Point for f(ψ, ϕ)−Contractions via Generalized α−Admissible Mappings with an Application

An extension of Karapinar and Sadaranganis’ result through the C-class functions by using α-admissible mapping with applications

Some Fixed Point Results of Weak-Fuzzy Graphical Contraction Mappings with Application to Integral Equations

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