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Common fixed point results on an extended b-metric space
Badr Alqahtani1, Andreea Fulga2, Erdal Karapınar3
11Department of Mathematics, King Saud University, Riyadh, Saudi Arabia.
Journal of Inequalities and Applications
|August 24, 2018
Summary
This study explores common fixed points for mappings within extended b-metric spaces. The findings generalize existing fixed point theorems and are supported by illustrative examples.
Area of Science:
- Mathematics
- Functional Analysis
Background:
- Fixed point theory is fundamental in various mathematical fields.
- Extended b-metric spaces offer a generalized framework for metric spaces.
Purpose of the Study:
- To investigate the existence of common fixed points for specific mappings.
- To extend existing fixed point theorems to a broader setting.
Main Methods:
- Utilizing concepts from extended b-metric spaces.
- Developing new theoretical frameworks for fixed point existence.
Main Results:
- Established the existence of common fixed points under novel conditions.
- Demonstrated that the new results encompass several known fixed point theorems.
- Provided examples to validate the theoretical findings.
Conclusions:
- The research expands the scope of fixed point theory.
- The generalized framework offers new possibilities for theoretical advancements.
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