On -best approximation in topological spaces
Best approximation and strict convexity of metric spaces
Characterizations of elements of best approximation in non-Archimedean normed spaces
Approximation relative to an ultra function
Some approximate fixed point theorems without continuity of the operator using auxiliary functions
We introduce partial generalized convex contractions of order and rank using some auxiliary functions. We present some results on approximate fixed points and fixed points for such class of mappings having no continuity condition in -complete metric spaces and -complete metric spaces. Also, as an application, some fixed point results in a metric space endowed with a binary relation and some approximate fixed point results in a metric space endowed with a graph have been obtained. Some examples...
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