EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 93(107), pp. 69–93 (2013)

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FIXED POINT THEOREMS VIA VARIOUS CYCLIC CONTRACTIVE CONDITIONS IN PARTIAL METRIC SPACES

Hemant Kumar Nashine, Zoran Kadelburg, Stojan Radenovic

Department of Mathematics, Disha Institute of Management and Technology, Raipur, Chhattisgarh, India; Faculty of Mathematics, University of Belgrade, Belgrade, Serbia; Faculty of Mechanical Engineering, University of Belgrade, Belgrade, Serbia;

Abstract: We present some fixed point results for mappings which satisfy Hardy–Rogers rational type, quasicontraction type, weak contraction type and generalized $f_\psi$ type cyclic conditions in $0$-complete partial metric spaces. Presented results generalize or improve many existing fixed point theorems in the literature. To demonstrate our results, we give throughout the paper some examples. One of the possible applications of our results to well-posed and limit shadowing property of fixed point problems is also presented.

Keywords: cyclic contraction; partial metric space; control function

Classification (MSC2000): 47H10; 54C60, 54H25, 55M20

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Electronic fulltext finalized on: 2 Apr 2013. This page was last modified: 8 Apr 2013.

© 2013 Mathematical Institute of the Serbian Academy of Science and Arts
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