Fixed point theorem for multivalued non-self mappings satisfying JS-contraction with an application. (English) Zbl 1500.54010

Aron, David; Kumar, Santosh

Ural Math. J. 8, No. 1, 3-12 (2022).

Summary: In this paper, we present some fixed point results for multivalued non-self mappings. We generalize the fixed point theorem due to I. Altun and G. Minak [Carpathian J. Math. 32, No. 2, 147–155 (2016; Zbl 1399.54079)] by using M. Jleli and B. Samet’s [J. Inequal. Appl. 2014, Paper No. 38, 8 p. (2014; Zbl 1322.47052)] \( \vartheta \)-contraction. To validate the results proved here, we provide an appropriate application of our main result.

MSC:

54H25	Fixed-point and coincidence theorems (topological aspects)
47H10	Fixed-point theorems
54E35	Metric spaces, metrizability

Keywords:

JS-contraction mapping; multivalued mapping; metric space; non-self mapping; fixed point

Citations:

Zbl 1399.54079; Zbl 1322.47052

References:

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