학술저널
UNIQUE POINT OF COINCIDENCE FOR TWO MAPPINGS WITH ϕ- OR ψ-φ-CONTRACTIVE CONDITIONS ON 2-METRIC SPACES
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 29, No. 3
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2016.08417 - 428 (12 pages)
- 5
We discuss and obtain some existence theorems of unique point of coincidence for two mappings satisfying ϕ-contractive conditions or ψ-φ-contractive conditions determined by semi-continuous functions on non-complete 2-metric spaces, in which the mappings do not satisfy commutativity and uniform boundedness. The ob-tained results generalize and improve many well-known and corre-sponding conclusions.
1. Introduction and preliminaries
2. Unique point of coincidence and common fixed point
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