Subjects mathematics

Dissertation Title Fed1E2

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1. Problem Statement: You want to create a dissertation title based on the provided abstracts about fixed point theorems in b-metric spaces, targeting 2 conference papers and 2 Scopus Q3 articles. 2. Understanding the Context: The abstracts focus on fixed point theorems, contractive mappings, fuzzy mappings, and applications in b-metric and extended b-metric spaces, including applications to integral and differential equations. 3. Key Themes: Fixed point theory in b-metric spaces, contractive mappings, fuzzy fixed points, applications to nonlinear equations, and extensions/generalizations of existing theorems. 4. Dissertation Title Suggestion: "Advancements in Fixed Point Theorems for Contractive and Fuzzy Mappings in b-Metric Spaces with Applications to Nonlinear Integral and Differential Equations" 5. Explanation: This title captures the core mathematical focus and the applied aspect, suitable for producing multiple conference and journal papers. 6. Research Output Plan: - Two conference papers could focus on: (a) New fixed point theorems for contractive mappings in b-metric spaces, (b) Fuzzy fixed point results and their applications. - Two Scopus Q3 journal articles could focus on: (a) Applications of fixed point theorems to nonlinear integral equations, (b) Extensions of fixed point results to extended b-metric spaces and fractional differential equations. This plan aligns with the abstracts and is feasible for a dissertation targeting the specified publication goals.