A study of some new multivalued fixed point results in a modular like metric space with graph

Rasham, Tahair; Agarwal, Praveen; Abbasi, Laiba Shamshad; Jain, Shilpi

doi:10.1007/s41478-021-00372-z

Cited by 6 publications

(2 citation statements)

References 29 publications

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“…With this motivation, several generalization of Banach contraction principle see ( [7] , [8] , [9] , [22] ) as well as metric space ( [21] , [23] , [26] ) are carried out. Agarwal et al proved many fixed point results in various spaces and use these results to solve boundary value problems and homotopy theory see ( [2] , [11] , [24] ). We shall mention only few of them which are helpful in designing the skeleton of our paper.…”

Section: Introductionmentioning

confidence: 99%

Boyd-Wong type contractions in generalized parametric bipolar metric space

Kumar,

Ege,

Mor

et al. 2024

Heliyon

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Section: Introductionmentioning

confidence: 99%

Boyd-Wong type contractions in generalized parametric bipolar metric space

Kumar,

Ege,

Mor

et al. 2024

Heliyon

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“…The counter example for non-stable cases is also demonstrated. A few more results on applying the fixed point techniques on fuzzy and dominated mappings are presented in [41][42][43][44][45][46][47].…”

Section: Introductionmentioning

confidence: 99%

Intuitionistic Fuzzy Stability of an Euler–Lagrange Symmetry Additive Functional Equation via Direct and Fixed Point Technique (FPT)

et al. 2022

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In this article, a new class of real-valued Euler–Lagrange symmetry additive functional equations is introduced. The solution of the equation is provided, assuming the unknown function to be continuous and without any regularity conditions. The objective of this research is to derive the Hyers–Ulam–Rassias stability (HURS) in intuitionistic fuzzy normed spaces (IFNS) by applying the classical direct method and fixed point techniques (FPT). Furthermore, it is proven that the Euler–Lagrange symmetry additive functional equation and the control function, which is the IFNS of the sums and products of powers of norms, is stable. In addition, a few examples where the solution of this equation can be applied in Fourier series and Fourier transforms are demonstrated.

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Novel results for two families of multivalued dominated mappings satisfying generalized nonlinear contractive inequalities and applications

Rasham,

Mustafa,

Mukheimer

et al. 2024

Demonstratio Mathematica

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In this manuscript, we prove new extensions of Nashine, Wardowski, Feng-Liu, and Ćirić-type contractive inequalities using orbitally lower semi-continuous functions in an orbitally complete b b -metric space. We accomplish new multivalued common fixed point results for two families of dominated set-valued mappings in an ordered complete orbitally b b -metric space. Some new definitions and illustrative examples are given to validate our new results. To show the novelty of our results, applications are given to obtain the solution of nonlinear integral and fractional differential equations. Our results expand the hypothetical consequences of Nashine et al. (Feng–Liu-type fixed point result in orbital b-metric spaces and application to fractal integral equation, Nonlinear Anal. Model. Control. 26 (2021), no. 3, 522–533) and Rasham et al. (Common fixed point results for new Ciric-type rational multivalued-contraction with an application, J. Fixed Point Theory Appl. 20 (2018), no. 1, Paper No. 45).

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A study of some new multivalued fixed point results in a modular like metric space with graph

Cited by 6 publications

References 29 publications

Boyd-Wong type contractions in generalized parametric bipolar metric space

Boyd-Wong type contractions in generalized parametric bipolar metric space

Intuitionistic Fuzzy Stability of an Euler–Lagrange Symmetry Additive Functional Equation via Direct and Fixed Point Technique (FPT)

Novel results for two families of multivalued dominated mappings satisfying generalized nonlinear contractive inequalities and applications

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