Some fixed point results without monotone property in partially ordered metric-like spaces

Document Type : Original Article

Authors

1 Department of Mathematics, S.G.S.P.G. College, Ganjbasoda, MP, India

2 Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Beograd, Serbia

3 Department of Applied Mathematics, Shri Vaishnav Institute of Technology & Science, Gram Baroli Sanwer Road, Indore, MP 453331, India

Abstract

The purpose of this paper is to obtain the fixed point results for F-type contractions
which satisfies a weaker condition than the monotonicity of self-mapping of a partially ordered metric-like space. A fixed point result for F-expansive mapping is also proved. Therefore, several well-known results are generalized. Some examples are included which illustrate the results.

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