Abstract
Objective/Aim: To generate three common fixed point results for four self mappings in complete multiplicative metric space (MMS). Method: The method involves applying of point wise absorbing mappings with different combinations such as complete subspace, reciprocally continuous and compatible mappings and semi-compatible mappings. Findings: All the results are supported by the provision of valid examples. Novelty/Improvement: The concept of reciprocally continuity along with semi compatible mappings is used which is weaker than the concept of continuity and compatibility.
Highlights
The extraction of fixed point theorems has been fascinating area to the researchers due to its remarkable applications in many areas of mathematics and other allied subjects
Proved fixed point theorem in multiplicative metric space using weak commuting mappings(3)
The notion of semi-compatible mappings is introduced in d-topological space (5)
Summary
The extraction of fixed point theorems has been fascinating area to the researchers due to its remarkable applications in many areas of mathematics and other allied subjects. The multiplicative metric space (MMS) has been introduced (2). Proved fixed point theorem in multiplicative metric space using weak commuting mappings(3). Introduced the notion of Absorbing mappings in fuzzy metric space and prove common fixed point theorems (4). The notion of semi-compatible mappings is introduced in d-topological space (5). The notion of reciprocally continuous mappings became instrumental in proving some common fixed point theorems in metric space (6). Some results in multiplicative space are seen in (7) and (8) using the concept of semi compatible mappings. In this study, absorbing mappings notion is initiated in MMS to generate some common fixed point theorems under different conditions
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