In this paper, our focus is to acquaint with the Suzuki-type mappings establish some fixed point results using new w-interpolative approach. We present for interpolative contraction operators via w-admissible maps which satisfy Kannan, ?iri?–Reich–Rus, and Hardy–Rogers contractions in quasi-partial b-metric space. Further, outcomes so obtained are affirmed relevant examples.

This paper is devoted to the study of establishing sufficient conditions for existence and uniqueness of positive solution to a class of non-linear problems of fractional differential equations. The boundary conditions involved Riemann-Liouville fractional order derivative and integral. Further, the non-linear function $f$ contain fractional order derivative which produce extra complexity. Than...

In this paper, we introduce a new contraction-type mapping and provide fixed-point theorem which generalizes improves some existing results in the literature. Thus, prove that Boyd Wong (1969) and, more recently, due to Wardowski (2012), Turinici Piri Kumam (2016), Secelean Proinov (2020), others are consequences of our main result. An application integral equations illustrative examples indica...

We use the contraction mapping theorem to present existence and uniqueness of solutions in a short time system non-linear Volterra integral equations certain type direct-sum H[a; b] Hilbert space V[a; b]. extend local global proposed problem. Because kernel function is transcendental on interval [a; b], results are novel very important numerical approximation.