Some Fixed Point Results in Semi-metric Space

The thesis entitled " Some Fixed Point Results in Semi-metric Space" is the research of existence of fixed point notion in semi-metric space. Karl Menger established the notion of semi-metric space in 1928 as an important generalization of Metric space. Polish Mathematician Stephan Banach in 1922 established the notion of Banach Contraction Principle in his Ph.D. thesis. Since then it has become milestone to the researchers to establish the new theorems in fixed point theory using various spaces such as semi-metric space, Fuzzy metric space, Probabilistic metric space etc. It is very challenging to establish the fixed point theorem in semi-metric space due to the lacking of tools rather than in metric space. So the space needs associated properties as an partial replacement of triangle of inequality.

Autorentext

Completed Ph.D. in Mathematics from Kathmandu University, Nepal in the year 2015. The author has published several research papers in an international peer reviewed journal published from various countries Nepal, Switzerland, USA, Egypt, Bulgaria and India.

Klappentext

The thesis entitled " Some Fixed Point Results in Semi-metric Space" is the research of existence of fixed point notion in semi-metric space. Karl Menger established the notion of semi-metric space in 1928 as an important generalization of Metric space. Polish Mathematician Stephan Banach in 1922 established the notion of Banach Contraction Principle in his Ph.D. thesis. Since then it has become milestone to the researchers to establish the new theorems in fixed point theory using various spaces such as semi-metric space, Fuzzy metric space, Probabilistic metric space etc. It is very challenging to establish the fixed point theorem in semi-metric space due to the lacking of tools rather than in metric space. So the space needs associated properties as an partial replacement of triangle of inequality.