GENERALIZED FIXED POINT RESULT OF BANACH AND KANNAN TYPE IN S-MENGER SPACES.

Autor: Sarkar, Krishna Kanta, Das, Krishnapada, Pramanik, Abhijit
Předmět:
Zdroj: South East Asian Journal of Mathematics & Mathematical Sciences; Apr2023, Vol. 19 Issue 1, p121-134, 14p
Abstrakt: S-metric space is a relatively new concept in the literature and currently there is much attention being given to the generalization of S-metric spaces and fixed point theory in these spaces. Recently, the concept of S-Menger spaces was introduced in the literature as a generalization of both S-metric spaces and Menger spaces. Combinations of Banach and Kannan type contractions are very much important to find fixed point results and there are very few works on S-metric spaces that includes both of these type contractions. In this paper, we present a fixed point result in S-Menger spaces that includes both Banach type contractions and Kannan type contractions. We have also deduced some corollaries from our result and provided examples to validate our work. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index