Fixed points results for various types of interpolative cyclic contraction

Author:

Edraoui MohamedORCID,El koufi AmineORCID,Semami SoukainaORCID

Abstract

In this paper, we introduce four new types of contractions called in this order Kannan-type cyclic contraction via interpolation, interpolative Ćirić-Reich-Rus type cyclic contraction, and we prove the existence and uniqueness for a fixed point for each situation.

Publisher

Universitat Politecnica de Valencia

Subject

Geometry and Topology

Reference18 articles.

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2. E. Karapinar, Revisiting the Kannan type contractions via interpolation. Adv. Theory Nonlinear Anal. Appl. 2, no. 2 (2018), 85-87. https://doi.org/10.31197/atnaa.431135

3. R. Kannan, Some results on fixed points. Bull. Calcutta Math. Soc. 60, 71-76 (1968). https://doi.org/10.2307/2316437

4. Kirk, W.A.; Srinivasan, P.S.; Veeramani, P. Fixed point fo mappings satisfyaing cyclical contractive conditions. Fixed Point Theory2003, 4, 79-89.

5. M. Edraoui, M. Aamri, S. Lazaiz, Relatively Cyclic and Noncyclic P-Contractions in Locally K-Convex Space. Axioms 2019, 8, 96. https://doi.org/10.3390/axioms8030096

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