Solving Existence Problems via F-Reich Contraction
The main assessment of this article is to furnish a new technique, based on F-Reich contraction, for solving some models of real world problems, viz. “concentration of a diffusing substance in an absorbing medium” and an integral equation. For this purpose, we inaugurate the notation of F-Reich contraction in the context of rectangular b-metric space and establish certain new fixed point results without taking into account the continuity of the mapping involved. Innovative approach of visualizing non-trivial examples gives a new direction especially to nonlinear problems pertinent to geometrical interpretation. Examples are hosted by a series of mappings containing transcendental terms along with nontrivial fixed points. Established results substantially theorize and improve F-contraction version of some prime results in the existing literature. At the end some open problems are also presented for potential readers.
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