Fixed point theorems for interpolative orthogonal relational in TVS-valued cone metric spaces
Date
2025
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Publisher
Mbeya University of Science and Technology, Mbeya
Abstract
This article explores the fixed point theorem for a novel class of interpolative relation
theoretical convex mappings in TVS-valued cone metric spaces, integrating relational
theory, convexity, and interpolation properties to offer fresh perspectives and
possible uses in theoretical and applied mathematics. An application of the results to
differential equations and matrix equations in the context of orthogonal TVS-valued
cone metric spaces is presented, along with a constructive example to support the
findings.
Description
Mbeya university of science and technology