A Probabilistic Fixed Point Result Using Altering Distance Functions

Some fixed point theorems by altering distance functions

Unification of several distance functions and a common fixed point result

*Correspondence: [email protected] 3Department of Mathematics, Kano University of Science and Technology, P.M.B. 3042, Wudil, Kano, Nigeria Full list of author information is available at the end of the article Abstract In this work, we initiate the notions of dislocated-Ab-quasi-metric and Ab-quasi-metric-like spaces. Then we establish the existence of a common fixed point of weakly compatible ...

Common fixed points for a pair of mappings in $b$-Metric spaces via digraphs and altering distance functions

In this paper, we discuss the existence and uniqueness of points of coincidence and common fixed points for a pair of self-mappings satisfying some generalized contractive type conditions in $b$-metric spaces endowed with graphs and altering distance functions. Finally, some examples are provided to justify the validity of our results.

A common unique fixed point result in metric spaces involving generalised altering distances

In this paper we work out a unique common fixed point result for two self-mappings defined on a complete metric space. These mappings are assumed to satisfy a contractive inequality which involves two generalised altering distances.

Fixed point results for generalized contractive mappings involving altering distance functions on complete quasi-metric spaces and applications

In this paper, we introduce α-ψ-φ-Jachymski contractive mappings with generalized altering distance functions in the setting of quasi-metric spaces. Some theorems on the existence and uniqueness of fixed points for such mappings via admissible mappings are established. Utilizing above abstract results, we derive common fixed point theorem for two operators and multidimensional fixed point resul...