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http://dx.doi.org/10.14403/jcms.2016.29.3.417

UNIQUE POINT OF COINCIDENCE FOR TWO MAPPINGS WITH 𝜑- OR 𝜓-𝜙-CONTRACTIVE CONDITIONS ON 2-METRIC SPACES

Xu, Ming-Xing (Department of Mathematics Yanbian University)
Huang, Xin (Department of Mathematics Yanbian University)
Piao, Yong-Jie (Department of Mathematics Yanbian University)

Publication Information

Journal of the Chungcheong Mathematical Society / v.29, no.3, 2016 , pp. 417-428 More about this Journal

Abstract

We discuss and obtain some existence theorems of unique point of coincidence for two mappings satisfying ${\varphi}$ -contractive conditions or ${\psi}$ - ${\phi}$ -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 obtained results generalize and improve many well-known and corresponding conclusions.

Keywords

point of coincidence; ${\varphi}$ -contractive condition; ${\psi}$ - ${\phi}$ -contractive condition; altering distance function; weakly compatible;

Citations & Related Records

Reference

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