Coincidence and fixed point for weakly reciprocally continuous single-valued and multi-valued maps. (English) Zbl 1325.54029
Summary: In the present paper, we extend the concept of Weak Reciprocal Continuity for a hybrid pair of single-valued and multi-valued maps and introduce \((T,f)\)-completeness of the space. Further, we establish some results on the existence of coincidence and fixed points for the hybrid pair of maps. Our results generalize several well known results available in the literature.
MSC:
| 54H25 | Fixed-point and coincidence theorems (topological aspects) |
| 54E40 | Special maps on metric spaces |
| 54E50 | Complete metric spaces |
Keywords:
reciprocally continuous; weakly reciprocally continuous; compatible maps; R-weak commutativity of type \(A_f\)References:
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