Common fixed point theorems for nonself‐mappings in metrically convex spaces via altering distances

Abstract

Some common fixed point theorems for a pair of nonself-mappings in complete metrically convex metric spaces are proved by altering distances between the points, which generalize earlier results due to M. D. Khan and Bharadwaj (2001), M. S. Khan et al. (2000), Bianchini (1972), Chatterjea 1972, and others. Some related results are also discussed besides furnishing an illustrative example

A fixed point result in Menger spaces using a real function

“…Afterwards a number of works have appeared in which altering distance functions and their generalizations have been used in metric spaces for obtaining xed point results. We note some of these in references [1], [3], [5], [11], [16], [17], [18] and [19]. In [6] altering distances have also been used in the case of multi-valued and fuzzy mappings.…”