Generalized Altering Distances and Common Fixed Points in Ordered Metric Spaces

Generalized Altering Distances and Common Fixed Points in Ordered Metric Spaces

In this paper, coincidence point and common fixed point results with the concept of generalized altering distance functions in complete ordered metric spaces are derived. These results generalize the existing fixed point results in the literature. To illustrate our results and to distinguish them from the existing ones, we equip the paper with examples. As an application, we study the existence...

Common Fixed Point Results Using Generalized Altering Distances on Orbitally Complete Ordered Metric Spaces

Fixed point results for contractions involving generalized altering distances in ordered metric spaces

* Correspondence: [email protected] Department of Mathematics, Kyungnam University, Masan, Kyungnam 631-701, Korea Full list of author information is available at the end of the article Abstract In this article, we establish coincidence point and common fixed point theorems for mappings satisfying a contractive inequality which involves two generalized altering distance functions in order...

Common Fixed Points of Generalized Contractive Maps in Cone Metric Spaces

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.