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Fixed point results for weakly α-admissible pairs

Ćirić Ljubomir (Faculty of Mechanical Engineering, Belgrade)
Parvaneh Vahid (Islamic Azad University, Department of Mathematics, Gilan-E-Gharb Branch, Gilan-E-Gharb, Iran)
Hussain Nawab (King Abdulaziz University, Department of Mathematics, Jeddah, Saudi Arabia)

In this paper, we introduce the concepts of weakly and partially weakly α-admissible pair of mappings and obtain certain coincidence and fixed point theorems for classes of weakly α-admissible contractive mappings in a b-metric space. As an application, we derive some new coincidence and common fixed point results in a b-metric space endowed with a binary relation or a graph. Moreover, an example is provided here to illustrate the usability of the obtained results.

Keywords: b-metric space, coincidence point, weakly increasing mapping