On new existence and uniqueness results concerning solutions to nonlinear Fredholm integral equations via w-distances and weak altering distance functions
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The purpose of this work is to establish new fixed point theorems for generalized contraction mappings with respect to w-distances in complete metric spaces by using the concept of a weak altering distance function. Two illustrative examples are provided to advocate the usability of our results. Also, we present a numerical experiment for approximating a fixed point in these examples. As an application, the received results are used to summarize the existence and uniqueness of the solution for nonlinear Fredholm integral equations.
Keywordsw-Distance altering distance weak altering distance nonlinear Fredholm integral equation
Mathematics Subject ClassificationPrimary 47H10 Secondary 54H25
The second author would like to thank the Thailand Research Fund and Office of the Higher Education Commission under Grant no. MRG6180283 for financial support during the preparation of this manuscript.
All authors contributed equally and significantly in writing this paper. All authors read and approved the final manuscript.
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Conflict of interest
The authors declare that they have no competing interests.