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Fixed Point Theorems for Several Contractive Mappings and Expansive Mappings in G-Metric Spaces | ||
| Journal of College of Education for Pure Science | ||
| Article 1, Volume 2, Issue 2, 2012, Pages 31-47 | ||
| Author | ||
| Ahmed Hassan Alwan | ||
| Abstract | ||
| The purpose of this paper is to define two of types mappings in G-metric spaces and find the fixed points of these mappings. The first type is called several contractive mappings, where we define the contraction condition on the closure of an orbit, where the orbit is bounded and orbitally complete. Also, we will discuss the uniqueness of a fixed point only in this orbit. Finally, we prove the existence of a fixed point for surjective expansive mapping | ||
| Keywords | ||
| Fixed point theory; Metric spaces; Contractive Mappings | ||
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