The need for new contraction principles in complex
Research gap analysis derived from 3 mathematics papers in our local library.
The gap
The need for new contraction principles in complex valued-controlled metric spaces - The lack of application of fixed point theory to dynamic programming in these spaces
Evidence profile
Sourced from the stated research gap and future-work section of the source papers, classified as general, spanning 3 journals.
Research trend
Established — well-defined area with open sub-problems.
Supporting evidence — 3 representative gaps
- A Fixed Point Result for Orthogonal Quasi- Contraction Mappings in O-Complete Super metric Spaces (2026) · Journal of Advances in Mathematics and Computer Science · doi
The paper identifies a gap in fixed-point theory for complex, non-linear settings where classical methods may not suffice. It recognizes the need for further research in non-linear mappings in abstract spaces.
generalstated research gapKeywords: paper identifies gap fixed-point theory complex non-linear settings - Fixed points and dynamic programming in complex valued-controlled metric spaces (2026) · Studia Universitatis Babes-Bolyai Matematica · doi
The need for new contraction principles in complex valued-controlled metric spaces - The lack of application of fixed point theory to dynamic programming in these spaces
generalstated research gapevidence 5/5Keywords: need new contraction principles complex valued-controlled metric spaces - Fixed Point Theory for Multivalued Integral Contractions in \(\vartheta_{\nu}^{\ell}\)-Metric Spaces with Geometric and Applied Perspectives (2026) · International Journal of Analysis and Applications · doi
Future research can focus on applying the fixed point theory to various fields such as differential equations, optimization, and control theory. Future research can focus on extending the theory to more general spaces and mappings.
generalfuture-work sectionevidence 5/5Keywords: future research focus applying fixed point theory various
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