A Common Fixed Point Theorem for Two Pairs of Mappings in Dislocated Metric Space

• 作者: Dinesh Panthi Kanhaiya Jha P. Sumati Kumari Pavan Kumar Jha
• 来源期刊: 美国计算数学期刊(英文)
• 学科: 数学
• 关键词: d-Metric Space Common Fixed Point WEAKLY Compatible Contractive Modulus CAUCHY Sequence
• 年，卷（期）: 2015,（2）
• 页码范围: 106-112
• 页数: 7页
• 分类号: O1

摘要

Dislocated metric space differs from metric space for a property that self distance of a point needs not to be equal to zero. This property plays an important role to deal with the problems of various disciplines to obtain fixed point results. In this article, we establish a common fixed point theorem for two pairs of weakly compatible mappings which generalize and extend the result of Brain Fisher [1] in the setting of dislocated metric space with replacement of contractive constant by contractive modulus for which continuity of mappings is not necessary and compatible mappings by weakly compatible mappings.