Multiplicative Metric Spaces Research Articles

Some Outcomes using Conditionally Sequential Absorbing and Pseudo Reciprocally Continuous in Multiplicative Metric Space

Objective: The purpose of this paper is to establish two common fixed point theorems in Multiplicative Metric Space (MMS). Method: By utilizing the conditions Conditionally Sequentially Absorbing (CSA) and Pseudo Reciprocally Continuous (PRC) mappings. Findings: Two unique common fixed point theorems are generated and supported it with relevant examples. Novelty: In the first theorem, we use the concept CSA and PRC mappings. In the second theorem, we use the notion of CSA, non-compatible and PRC mappings. These conditions are weaker than the existing conditions like weakly compatible mappings which generalizes the theorem of Monika Verma, P Kumar and Andnawneet Hooda. Keywords Multiplicative Metric Space (MMS), fixed point, Psudo Reciprocally Continuous (PRC), Conditionally Sequential Absorbing (CSA), Occasionally Weakly Compatible (OWC) mappings

Some Results on Conditionally Sequential Absorbing Maps in Multiplicative Metric Space

This paper aims to prove two general fixed point theorems in multiplicative metric space (MMS) by using reciprocally continuous mappings and conditionally sequential absorbing mappings. Further our outcomes are validated by discussing two appropriate examples.

Some results in multiplicative metric space using absorbing mappings

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.

Fixed Point Theorems for Expansive Type Mappings in Multiplicative Metric Spaces

In this paper, we prove some common fixed point theorems for various types of compatible mappings in the setting of complete multiplicative metric spaces.