Generalized Altering Distances and Common Fixed Points in Ordered Metric Spaces
Author(s) -
Hemant Kumar Nashine,
Hassen Aydi
Publication year - 2012
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/2012/736367
Subject(s) - mathematics , metric space , coincidence point , fixed point , least fixed point , metric (unit) , fixed point property , coincidence , point (geometry) , pure mathematics , fixed point theorem , discrete mathematics , mathematical analysis , schauder fixed point theorem , geometry , medicine , operations management , alternative medicine , pathology , economics , picard–lindelöf theorem
Coincidence point and common fixed point results with the concept of generalized altering distance functions in complete ordered metric spaces are derived. These results generalize the existing fixed point results in the literature. To illustrate our results and to distinguish them from the existing ones, we equip the paper with examples. As an application, we study the existence of a common solution to a system of integral equations
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