Fixed point theorem of Ciric type in weak partialmetric spaces

Abstract

In this paper we prove a general fixed point theorem of Ciric type in weak partial metric space.

Some New Fixed Point Theorems in Weak Partial Metric Spaces

“…by omitting the small self-distance axiom. Some results for mappings in (W.P.M.S) have been obtained [8][9][10][11] , also many authors proved fixed point (F.P) results for maps satisfying implicit relations [12][13][14][15] . The main purpose of this paper is to study fixed point under(ψ − φ) contractive conditions in weak partial metric space (W.P.M.S).…”

“…Remark 3 Note that(M, 𝑑 𝜔 ) is a standard(M, 𝑆). Definition 4 12 The mappings𝛼and 𝛽: 𝑀 → 𝑀on(M, ρ) are called commuting maps if∀𝑣 ∈ 𝑀, 𝛼𝛽𝑣 = 𝛽𝛼𝑣. Definition 5 16 Let 𝛼 and 𝛽: 𝑀 → 𝑀on be mappings on (M, ρ) if u= 𝛼𝑣 = 𝛽𝑣 for some 𝑣 ∈ 𝑀, then𝑣 is referred to as a coincidence point and 𝑢is referred as a point of coincidence.…”