SOME FIXED POINT THEOREMS FOR MULTIVALUED INTERPOLATIVE MAPPING IN HYPERBOLIC METRIC SPACE WITH SOME APPLICATIONS

Lucas Wangwe; Santosh Kumar

doi:https://doi.org/10.56827/SEAJMMS.2026.2202.1

Lucas Wangwe Department of Mathematics, College of Science and Technical Education, Mbeya University of Science and Technology, P.O.BOX 131, Mbeya, TANZANIA

Santosh Kumar Department of Mathematics, School of Physical Sciences, North-Eastern Hill University, Shillong - 793022, Meghalaya, INDIA

Volume 22, Issue 2 Pages 1-34 August 30, 2026 46 downloads

Article overview

Abstract

This paper aims to investigate the multivalued fixed point results for various interpolative contraction mappings in hyperbolic metric spaces. We also provide an illustrative example to support our main results. The results presented here will be illustrated with some applications to functional integral inclusion and linear partial differential equations.

Keywords and Phrases

Fixed point theoremsmultivalued mapping and interpolative mappinghyperbolic metric spaceFunctional integral inclusionLinear partial differential equations.

AMS Subject Classification

47H10, 54H25.

Reference information

How to Cite

Lucas Wangwe, Santosh Kumar (2026). SOME FIXED POINT THEOREMS FOR MULTIVALUED INTERPOLATIVE MAPPING IN HYPERBOLIC METRIC SPACE WITH SOME APPLICATIONS. South East Asian Journal of Mathematics and Mathematical Sciences, 22(2), 1-34.

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