Fixed Point and Common Fixed Point Theorems for Single Valued and Multivalued Mappings in Partial b-Metric Spaces
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https://dataverse.harvard.edu/citation?persistentId=doi:10.7910/DVN/MPPKFP
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Abstract
Objectives: To prove some fixed point theorems and common fixed point theorems by using partial b-metric spaces. Methods: Ciric type contraction for single-valued mapping is also used to prove fixed point theorem and Nadler's type Banach contraction is used to produce fixed point and common fixed point theorems. Findings: We have to find fixed point and common fixed point theorems for single valued mapping and a fixed point theorem for multivalued mapping. Novelty : We have to use a new type of space called partial b-metric space to prove all the theorems in this paper. No one has proven these theorems before in this space. 2020 Mathematics Subject Classification : 47H10, 54H25.
Keywords: Partial b-metric space, Single valued, Multi valued, Common fixed point, Fixed point
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Harvard Dataverse
创建时间：
2025-04-23
