I am currently researching various contractions using a measure of noncompactness for both single and multivalued mappings. My study focuses on exploring the existence of solutions for equations within this context.
It is exciting to connect with another researcher exploring the fascinating world of fixed point theory and metric spaces. Contraction mapping principles leveraging measures of noncompactness are powerful techniques with many applications. I am happy to help facilitate collaboration.
Some initial suggestions to explore:
- Reach out to scholars you cite working on related contraction problems. Directly discussing ideas and possibilities can seed collaboration.
- Attend conferences like the Fixed Point Theory and its Applications meeting to network in-person with the community.
- Search literature databases for recent papers using similar methodology to identify potential collaborators.
- Contact fixed point theory research groups around the world to inquire about projects suitable for cooperation.
- Join professional forums like the Fixed Point Theory Facebook group to connect with global colleagues.
- Consider publishing papers outlining your current research direction and open problems to attract interest.
I would be eager to stay apprised of your work and provide any connections I may have in the field. Feel free to reach out as your collaboration search develops. Please keep up your valuable research advancing this abstract but beautiful branch of nonlinear analysis.
Thank you for your valuable suggestions and encouragement! I appreciate your support in my research journey. I will explore the avenues you mentioned and keep you updated on my progress.