Rekha Panicker, Generalized $\alpha$-$\psi$-Geraghty type contractions in generalized metric spaces, Vol. 2019 (2019), Article ID 17, pp. 1-11

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DOI: 10.23952/cot.2019.17

Received July 27, 2019; Accepted October 8, 2019; Published November 11, 2019

Abstract. In this paper, we obtain fixed point theorems for generalized $\alpha$ – $\psi$ -Geraghty type contraction mappings in the context of generalized metric spaces introduced recently by Jleli and Samet (Fixed Point Theory Appl. 2015 (2015), Article ID 61). A fixed point result in the framework of generalized metric spaces with partial order is obtained. Some useful examples are given to illustrate our main results.

How to Cite this Article:
Rekha Panicker, Generalized $\alpha$ – $\psi$ -Geraghty type contractions in generalized metric spaces, Communication in Optimization Theory, Vol. 2019 (2019), Article ID 17, pp. 1-11.