Karapinar et al. established a more general class of contractions, namely, hybrid interpolative Riech Istrǎstescue-type contractions, and presented some results on the platform of metric spaces. This research uses the domain of b-metric spaces to modify this class proficiently. Several interesting fixed-point results are presented by using this new class defined on b-metric space, where the symmetric condition is preserved in this study. Examples are provided for the authentication of proved results. Eventually, an application is also provided in order to comprehend our extensive effort in a better way.

/pdf/solving-integral-equations-via-hybrid-interpolative-ri-type-1e47ktes.pdf

Solving Integral Equations via Hybrid Interpolative RI-Type Contractions in b-Metric Spaces

In this manuscript, we introduce the notions of fuzzy strong controlled metric spaces, fuzzy strong controlled quasi-metric spaces, and non-Archimedean fuzzy strong controlled quasi-metric spaces and generalize the famous Banach contraction principle. We prove several fixed point results in the context of non-Archimedean fuzzy strong controlled quasi-metric space. Furthermore, we use our main result to obtain the existence of a solution for a recurrence problem linked with the study of Quicksort algorithms. 

https://downloads.hindawi.com/journals/amp/2023/4350504.pdf

Fixed Point Results in Fuzzy Strong Controlled Metric Spaces with an Application to the Domain Words

Abstract In this article, we obtain some fixed-point results involving α -admissibility for multivalued F -contractions in the framework of partial $\mathfrak{b}$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>b</mml:mi> </mml:math> -metric spaces. Appropriate illustrations are provided to support the main results. Finally, an application is developed by demonstrating the existence of a solution to an integral equation. 

New multivalued F-contraction mappings involving α-admissibility with an application

This article contains results of the existence of fuzzy fixed points of fuzzy mappings that satisfy certain contraction conditions using the platform of partial b-metric spaces. Some non-trivial examples are provided to authenticate the main results. The constructed results in this work will likely stimulate new research directions in fuzzy fixed-point theory and related hybrid models. Eventually, some fixed-point results on multivalued mappings are established. These theorems provide an excellent application of main theorems on fuzzy mappings. The results of this article are extensions of many already existing results in the literature.

Existence of Fuzzy Fixed Points and Common Fuzzy Fixed Points for FG-Contractions with Applications

In this paper, we first propose the concept of a family of quasi-G-metric spaces corresponding to the tripled fuzzy metric spaces (or G-fuzzy metric spaces). Using their properties, we give the characterization of tripled fuzzy metrics. Second, we introduce the notion of generalized fuzzy Meir–Keeler-type contractions in G-fuzzy metric spaces. With the aid of the proposed notion, we show that every orbitally continuous generalized fuzzy Meir–Keeler-type contraction has a unique fixed point in complete G-fuzzy metric spaces. In the end, an example illustrates the validity of our results.

Meir–Keeler Fixed-Point Theorems in Tripled Fuzzy Metric Spaces

In this manuscript, we establish some fixed point results for fuzzy mappings via 
 
 
 
 
 
 α
 
 
 ∗
 
 
 ,
 F
 
 
 
 -contractions. For validation of the proved results, some nontrivial examples are presented. Few interesting consequences are also stated which authenticate that our results generalize many existing ones in the literature.

/pdf/fuzzy-fixed-point-results-of-fuzzy-mappings-on-math-xmlns-34z8wfm1.pdf

Fuzzy Fixed Point Results of Fuzzy Mappings on <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1">
                     <mi>b</mi>
                  </math>-Metric Spaces via <math xmlns="http://www.w3.org/1998/Math/MathML" id="M2">
                     <mfenced open="(" close=")">
           

the cited. In this manuscript, we establish some ﬁ xed point results for fuzzy mappings via ð α ∗ , F Þ -contractions. For validation of the proved results, some nontrivial examples are presented. Few interesting consequences are also stated which authenticate that our results generalize many existing ones in the literature.

Fuzzy Fixed Point Results of Fuzzy Mappings on b -Metric Spaces via ð α ∗ , F Þ -Contractions

In this paper, we introduce the notion of (?,F)-contractive multi-valued
 mappings in the setting of uniform spaces. Some fixed point and common fixed
 point theorems for (?,F)-contractive mappings endowed with the uniform
 spaces are established. The existence and uniqueness of fixed points by
 using the structure of uniform spaces is discussed in detail. We set up a
 non-trivial example for the elaboration of these novel results. eventually,
 an application is also provided to elaborate the applicability of our
 results.

/pdf/fixed-point-and-common-fixed-point-theorems-on-a-f-1593mc3p.pdf

Fixed point and common fixed point theorems on (α,f)-contractive multi-valued mappings in uniform spaces

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Fuzzy Fixed Point Results of Fuzzy Mappings on <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <mi>b</mi> </math>-Metric Spaces via <math xmlns="http://www.w3.org/1998/Math/MathML" id="M2"> <mfenced open="(" close=")">

Fuzzy Fixed Point Results of Fuzzy Mappings on b -Metric Spaces via ð α ∗ , F Þ -Contractions

Fixed point and common fixed point theorems on (α,f)-contractive multi-valued mappings in uniform spaces