H. Işık
Department of Mathematics, Faculty of Science and Arts, Mus Alparslan University, Mus 49250, Turkey
[ 1 ] - Fixed point results for Su-type contractive mappings with an application
In this paper, we introduce the concept of Su-type contractive mapping and establish fixed point theorems for such mappings in the setting of ordered extended partial $b$-metric space. We also develop an application for Fredholm type integral equations to validate our main result and a non-trivial example is given to elucidate our work.
[ 2 ] - On new types of contraction mappings in bipolar metric spaces and applications
Our aim is to present some common fixed point theorems in bipolar metric spaces via certain contractive conditions. Some examples have been provided to illustrate the effectiveness of new results. At the end, we give two applications dealing with homotopy theory and integral equations.
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