A New Approach to Multivalued Certain Contraction Mappings

Cafer Aydın; Seher Sultan Yeşilkaya

doi:10.26713/cma.v11i2.1330

Authors

Cafer Aydın Department of Mathematics, Kahramanmaraş Sütçüimam University, Kahramanmaraş 46040
Seher Sultan Yeşilkaya Institute of Science and Technology, Kahramanmaraş Sütçü ć°mam University, Kahramanmaras, 46040, Turkey

DOI:

https://doi.org/10.26713/cma.v11i2.1330

Keywords:

Fixed point, \(f\)-weakly compatible mappings, \(G_p\)-metric space, Multivalued mappings

Abstract

In the submit study, we establish the notion of generalization of partial Hausdorff metric space. Also, we state an extension of the concept of \(f\)-weak compatibility of Pathak [12] on metric space in generalization of partial metric space. We introduced some common fixed point theorems for multivalued mappings satisfying generalized weak contraction conditions on a complete \(G_p\) metric spaces. Also, a example is given to illustrate the main theorem. Further, our theorems generalize several formerly obtained fixed point results.

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References

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