Fixed point theorems for controlled neutrosophic metric-like spaces

Abstract

<abstract> <p>In this paper, we establish the concept of controlled neutrosophic metric-like spaces as a generalization of neutrosophic metric spaces and provide several non-trivial examples to show the spuriousness of the new concept in the existing literature. Furthermore, we prove several fixed point results for contraction mappings and provide the examples with their graphs to show the validity of the results. At the end of the manuscript, we establish an application to integral equations, in which we use the main result to find the solution of the integral equation.</p> </abstract>

Common Fixed Point Results on a Double-Controlled Metric Space for Generalized Rational-Type Contractions with Application

“…The given results are improved and generalized to the existing ones in [11,18,20]. These results can be generalized by utilizing the notions in [19,[21][22][23][24][25][26].…”

“…Farhan et al [19] proved numerous fixed point results for (α, F)-contraction and Reich-type contraction in the setting of DCMSs and partially ordered DCMSs. The authors in [20][21][22][23][24] generalized the notion of DCMSs by utilizing intuitionistic fuzzy sets and neutrosophic sets, and proved fixed point theorems with several applications. Latif [25] introduced the concept of neutrosophic delta-beta-connected topological spaces.…”

Fixed Point Results for Generalized Contraction with Application of Biomedical Sciences

“…Aydi et al [24,25] established modified 𝐹-contractions via 𝛼-admissible mappings and generalized admissible-Meir-Keeler-contractions in the context of generalized metric spaces. For more information see [26][27][28][29][30][31][32][33][34].…”