S. Shrivastava

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Articles: 1

Fixed Point Theorem for $\psi$-Geraghty Contraction Type Mappings in b-Metric Spaces with Application

Sabita Kumari, Sandip Shrivastava, Shraddha Rajput

MFAT 31 (2025), no. 3, 238-246

238-246

In this paper, we introduce a new class of contractive mappings, called generalized $\psi$-Geraghty contractions, in the framework of b-complete metric spaces. We establish a unique fixed-point theorem that extends existing results in fixed-point theory. An illustrative example with a graphical representation demonstrates the validity of our findings. Furthermore, we apply the main result to an integral equation, highlighting its effectiveness in ensuring the existence and uniqueness of solutions. This work underscores the theoretical significance and practical applicability of generalized $\psi$-Geraghty contractions in mathematics, physics, and engineering.

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