Matthews (1994) introduced a new distance "Equation missing" on a nonempty set "Equation missing", which is called partial metric. If "Equation missing" is a partial metric space, then "Equation missing" may not be zero for "Equation missing". In the present paper, we give some fixed point results on these interesting spaces.
We present a fixed-point theorem for a single-valued map in a complete metric space using implicit relation, which is a generalization of several previously stated results including that of Suziki 2008 .
In this paper, we introduce g-approximative multivalued mappings to a partial metric space. Based on this definition, we give some new definitions. Further, common fixed point results for g-approximative multivalued mappings satisfying generalized contractive conditions are obtained in the setup of ordered partial metric spaces. MSC: Primary 05C38; 15A15; secondary 05A15; 15A18
In this paper, we prove n-tupled fixed point theorems (for even n) for mappings satisfying Meir-Keeler type contractive condition besides enjoying mixed monotone property in ordered partial metric spaces. As applications, some results of integral type are also derived. Our results generalize the corresponding results of Erduran and Imdad (J. Nonlinear Anal. Appl. 2012Appl. :jnaa-00169, 2012.
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