We present some fixed point results for nondecreasing and weakly increasing operators in a partially ordered metric space using implicit relations. Also we give an existence theorem for common solution of two integral equations.
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.
In the present paper, considering a new concept of multivalued almost F-contraction, we give a general class of multivalued weakly Picard operators on complete metric spaces. Also, we give some illustrative examples showing that our results are proper generalizations of some previous theorems.
Recently, Wardowski [15] introduced the concept of F-contraction on complete metric space. This type contraction is proper generalization of ordinary contraction. In the present paper, we give some fixed point results for generalized F-contractions includingĆirić type generalized F-contraction and almost F-contraction on complete metric space. Also, we give some illustrative examples.
In this paper, we prove a common fixed point theorem for weakly compatible mappings satisfying an implicit relation. Our theorem generalizes many fixed point theorems.
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