Fixed Points and Continuity for a Pair of Contractive Maps with Application to Nonlinear Volterra Integral Equations | Zendy

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Fixed Points and Continuity for a Pair of Contractive Maps with Application to Nonlinear Volterra Integral Equations

Author(s) -

Santosh Kumar

Publication year - 2021

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.579

H-Index - 28

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2021/9982217

Subject(s) - mathematics , uniqueness , fixed point , nonlinear system , fixed point theorem , volterra integral equation , contraction mapping , type (biology) , contraction (grammar) , mathematical analysis , integral equation , metric space , schauder fixed point theorem , picard–lindelöf theorem , medicine , ecology , physics , quantum mechanics , biology

In this paper, we have established and proved fixed point theorems for the Boyd-Wong-type contraction in metric spaces. In particular, we have generalized the existing results for a pair of mappings that possess a fixed point but not continuous at the fixed point. We can apply this result for both continuous and discontinuous mappings. We have concluded our results by providing an illustrative example for each case and an application to the existence and uniqueness of a solution of nonlinear Volterra integral equations.

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